def clippingHGMevaluation(input_generator, branches, Plot, reference=None):
for t in range(8, 11):
t = t / 10.0
thresholds = [-t, t]
input_signal = input_generator.GetOutput()
nl_functions = [
nlsp.function_factory.hardclip(thresholds),
] * branches
filter_spec_tofind = nlsp.log_bpfilter(branches=branches,
input=input_signal)
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
sweep = nlsp.NovakSweepGenerator_Sine(
sampling_rate=input_signal.GetSamplingRate(),
length=len(input_signal))
ref_nlsystem.SetInput(sweep.GetOutput())
init_coeffs, non = nlsp.nonlinearconvolution_powerseries_temporalreversal(
sweep, ref_nlsystem.GetOutput(), branches=branches)
init_coeffs = nlsp.change_length_filterkernels(init_coeffs,
filter_length)
ref_nlsystem.SetInput(input_signal)
found_filter_spec, nl_functions = nlsp.adaptive_identification_legendre(
input_generator=input_generator,
outputs=ref_nlsystem.GetOutput(),
branches=branches,
init_coeffs=init_coeffs)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
# sine = sumpf.modules.SineWaveGenerator(frequency=5000.0,phase=0.0,samplingrate=input_signal.GetSamplingRate(),length=len(input_signal)).GetSignal()
sine = sumpf.modules.SweepGenerator(
samplingrate=input_signal.GetSamplingRate(),
length=len(input_signal)).GetSignal()
ref_nlsystem.SetInput(sine)
iden_nlsystem.SetInput(sine)
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=False)
print "SNR between Reference and Identified output for symmetric hardclipping HGM(thresholds:%r): %r" % (
thresholds,
nlsp.snr(ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput()))
def differentlength_evaluation(input_generator,
branches,
Plot,
reference=None):
length_ref = [2**15, 2**16, 2**17]
length_iden = [2**15, 2**16, 2**17]
input_generator_ref = input_generator
input_generator_iden = input_generator
for signal_length, ref_length in zip(length_iden, length_ref):
input_generator_ref.SetLength(ref_length)
input_ref = input_generator_ref.GetOutput()
filter_spec_tofind = nlsp.log_weightingfilter(branches=branches,
input=input_ref)
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_ref,
nonlinear_functions=nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
sweep = nlsp.NovakSweepGenerator_Sine(
sampling_rate=input_ref.GetSamplingRate(), length=len(input_ref))
ref_nlsystem.SetInput(sweep.GetOutput())
init_coeffs, non = nlsp.nonlinearconvolution_powerseries_temporalreversal(
sweep, ref_nlsystem.GetOutput(), branches=branches)
init_coeffs = nlsp.change_length_filterkernels(init_coeffs,
filter_length)
ref_nlsystem.SetInput(input_ref)
found_filter_spec, nl_functions = nlsp.adaptive_identification_legendre(
input_generator=input_generator_ref,
outputs=ref_nlsystem.GetOutput(),
branches=branches,
init_coeffs=init_coeffs)
input_generator_iden.SetLength(signal_length)
input_iden = input_generator_iden.GetOutput()
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_iden,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_ref))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplotphase(
sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference Output", False)
plot.relabelandplotphase(
sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified Output", True)
print "SNR between Reference(length:%r) and Identified output(length:%r) : %r" % (
len(input_ref), len(input_iden),
nlsp.snr(ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput()))
def clippingHGMevaluation(input_generator,
branches,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method by hard clipping system
nonlinear system - virtual clipping systems which hard clips the signal amplitute which are not in the threshold range
plot - the virtual nl system output and the identified nl system output
expectation - utmost similarity between the two outputs
"""
for t in range(8, 11):
t = t / 10.0
thresholds = [-t, t]
input_signal = input_generator.GetOutput()
nl_functions = [
nlsp.function_factory.hardclip(thresholds),
] * branches
filter_spec_tofind = nlsp.log_bpfilter(branches=branches,
input=input_signal)
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
# sine = sumpf.modules.SineWaveGenerator(frequency=5000.0,phase=0.0,samplingrate=input_signal.GetSamplingRate(),length=len(input_signal)).GetSignal()
sine = sumpf.modules.SweepGenerator(
samplingrate=input_signal.GetSamplingRate(),
length=len(input_signal)).GetSignal()
ref_nlsystem.SetInput(sine)
iden_nlsystem.SetInput(sine)
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=False)
print "SNR between Reference and Identified output for symmetric hardclipping HGM(thresholds:%r): %r" % (
thresholds,
nlsp.snr(ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput()))
def doublehgm_samenl_evaluation(input_generator,
branches,
iden_method,
Plot,
reference=None):
input_signal = input_generator.GetOutput()
filter_spec_tofind1 = nlsp.log_bpfilter(branches=branches,
input=input_signal)
filter_spec_tofind2 = nlsp.log_chebyfilter(branches=branches,
input=input_signal)
ref_nlsystem = nlsp.HammersteinGroup_Series(
input_signal=input_signal,
nonlinear_functions=(nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
nlsp.nl_branches(
nlsp.function_factory.power_series,
branches)),
filter_irs=(filter_spec_tofind1, filter_spec_tofind2),
max_harmonics=(range(1, branches + 1), range(1, branches + 1)),
hgm_type=(nlsp.HammersteinGroupModel_up,
nlsp.HammersteinGroupModel_up))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(2),
branches)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem = nlsp.HammersteinGroup_Series(
input_signal=reference,
nonlinear_functions=(nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
nlsp.nl_branches(
nlsp.function_factory.power_series,
branches)),
filter_irs=(filter_spec_tofind1, filter_spec_tofind2),
max_harmonics=(range(1, branches + 1), range(1, branches + 1)),
hgm_type=(nlsp.HammersteinGroupModel_up,
nlsp.HammersteinGroupModel_up))
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplotphase(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput(2)).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=True)
print "SNR between Reference and Identified output for double hgm same nl: %r" % nlsp.snr(
ref_nlsystem.GetOutput(2), iden_nlsystem.GetOutput())
def differentlength_evaluation(input_generator,
branches,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method by hgm virtual nl system
nonlinear system - virtual hammerstein group model with power series polynomials as nl function and bandpass filters
as linear functions
inputsignal - signal signal
plot - the original filter spectrum and the identified filter spectrum, the reference output and identified output
expectation - utmost similarity between the two spectrums
"""
length_ref = [2**15, 2**16, 2**17]
length_iden = [2**15, 2**16, 2**17]
input_generator_ref = input_generator
input_generator_iden = input_generator
for signal_length, ref_length in zip(length_iden, length_ref):
input_generator_ref.SetLength(ref_length)
input_ref = input_generator_ref.GetOutput()
filter_spec_tofind = nlsp.log_weightingfilter(branches=branches,
input=input_ref)
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_ref,
nonlinear_functions=nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
input_generator_iden.SetLength(signal_length)
input_iden = input_generator_iden.GetOutput()
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_iden,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_ref))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplotphase(
sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference Output", False)
plot.relabelandplotphase(
sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified Output", True)
print "SNR between Reference(length:%r) and Identified output(length:%r) : %r" % (
len(input_ref), len(input_iden),
nlsp.snr(ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput()))
def hgmallpass_evaluation(input_generator,
branches,
nlfunction,
Plot,
reference=None):
input_signal = input_generator.GetOutput()
allpass = sumpf.modules.ImpulseGenerator(
samplingrate=input_signal.GetSamplingRate(),
length=len(input_signal)).GetSignal()
filter_spec_tofind = [
allpass,
] * branches
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nlsp.nl_branches(nlfunction, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
sweep = nlsp.NovakSweepGenerator_Sine(
sampling_rate=input_signal.GetSamplingRate(), length=len(input_signal))
ref_nlsystem.SetInput(sweep.GetOutput())
init_coeffs, non = nlsp.nonlinearconvolution_powerseries_temporalreversal(
sweep, ref_nlsystem.GetOutput(), branches=branches)
init_coeffs = nlsp.change_length_filterkernels(init_coeffs, filter_length)
ref_nlsystem.SetInput(input_signal)
found_filter_spec, nl_functions = nlsp.adaptive_identification_legendre(
input_generator=input_generator,
outputs=ref_nlsystem.GetOutput(),
branches=branches,
init_coeffs=init_coeffs)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=True)
print "SNR between Reference and Identified output with all pass filters: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
def hgmallpass_evaluation(input_generator,
branches,
nlfunction,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method by hgm virtual nl system
nonlinear system - virtual hammerstein group model with power series polynomials as nl function and allpass filters
as linear functions
plot - the original filter spectrum and the identified filter spectrum, the reference output and identified output
expectation - utmost similarity between the two spectrums
"""
input_signal = input_generator.GetOutput()
allpass = sumpf.modules.ImpulseGenerator(
samplingrate=input_signal.GetSamplingRate(),
length=len(input_signal)).GetSignal()
filter_spec_tofind = [
allpass,
] * branches
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nlsp.nl_branches(nlfunction, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=True)
print "SNR between Reference and Identified output with all pass filters: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
def hgmwithoverlapfilter_evaluation(input_generator,
branches,
nlfunction,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method by hgm virtual nl system
nonlinear system - virtual hammerstein group model with power series polynomials as nl function and overlapping
bandpass filters as linear functions
plot - the original filter spectrum and the identified filter spectrum, the reference output and identified output
expectation - utmost similarity between the two spectrums
"""
frequencies = [500, 3000, 5000, 7000, 20000]
input_signal = input_generator.GetOutput()
filter_spec_tofind = nlsp.create_bpfilter(frequencies, input_signal)
length_kernel = len(filter_spec_tofind[0])
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nlsp.nl_branches(nlfunction, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
found_filter_spec = nlsp.change_length_filterkernels(found_filter_spec,
length=length_kernel)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=True)
print "SNR between Reference and Identified output with overlapping filters: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
def differentbranches_evaluation(input_generator,
branches,
iden_method,
Plot,
reference=None):
ref_branches = 3
for branches in range(1, branches):
input_signal = input_generator.GetOutput()
filter_spec_tofind = nlsp.log_weightingfilter(branches=ref_branches,
input=input_signal)
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nlsp.nl_branches(
nlsp.function_factory.power_series, ref_branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, ref_branches + 1))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplotphase(
sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference Output", False)
plot.relabelandplotphase(
sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified Output", True)
print "SNR between Reference and Identified output : %r, with number of ref_branches: %r and iden_branches: %r" % (
nlsp.snr(ref_nlsystem.GetOutput(),
iden_nlsystem.GetOutput()), ref_branches, branches)
def hgmwithalphafilter_evaluation(input_generator,
branches,
nlfunction,
iden_method,
Plot,
label=None,
reference=None):
input_signal = input_generator.GetOutput()
filter_spec_tofind = nlsp.log_weightingfilter(branches=branches,
input=input_signal)
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nlsp.nl_branches(nlfunction, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference Output",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified Output",
show=True)
print "SNR between Reference and Identified output with weighted filtering: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
def doublehgm_same_evaluation(input_generator,
branches,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method by double hgm virtual nl system with same nonlinear degree and filters
nonlinear system - two virtual hammerstein group model with power series polynomials as nl function and bandpass
filters as linear functions
plot - the original filter spectrum and the identified filter spectrum, the reference output and identified output
expectation - utmost similarity between the two spectrums
"""
input_signal = input_generator.GetOutput()
filter_spec_tofind = nlsp.log_bpfilter(branches=branches,
input=input_signal)
ref_nlsystem = nlsp.HammersteinGroup_Series(
input_signal=input_signal,
nonlinear_functions=(nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
nlsp.nl_branches(
nlsp.function_factory.power_series,
branches)),
filter_irs=(filter_spec_tofind, filter_spec_tofind),
max_harmonics=(range(1, branches + 1), range(1, branches + 1)),
hgm_type=(nlsp.HammersteinGroupModel_up,
nlsp.HammersteinGroupModel_up))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(2),
branches)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem = nlsp.HammersteinGroup_Series(
input_signal=reference,
nonlinear_functions=(nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
nlsp.nl_branches(
nlsp.function_factory.power_series,
branches)),
filter_irs=(filter_spec_tofind, filter_spec_tofind),
max_harmonics=(range(1, branches + 1), range(1, branches + 1)),
hgm_type=(nlsp.HammersteinGroupModel_up,
nlsp.HammersteinGroupModel_up))
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplotphase(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput(2)).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=True)
print "SNR between Reference and Identified output for double hgm all same: %r" % nlsp.snr(
ref_nlsystem.GetOutput(2), iden_nlsystem.GetOutput())
def doublehgm_different_evaluation(input_generator,
branches,
Plot,
reference=None):
input_signal = input_generator.GetOutput()
filter_spec_tofind1 = nlsp.log_bpfilter(branches=branches,
input=input_signal)
filter_spec_tofind2 = nlsp.log_chebyfilter(branches=branches,
input=input_signal)
sweep = nlsp.NovakSweepGenerator_Sine(
sampling_rate=input_signal.GetSamplingRate(), length=len(input_signal))
ref_nlsystem = nlsp.HammersteinGroup_Series(
input_signal=sweep.GetOutput(),
nonlinear_functions=(nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
nlsp.nl_branches(
nlsp.function_factory.chebyshev1_polynomial,
branches)),
filter_irs=(filter_spec_tofind1, filter_spec_tofind2),
max_harmonics=(range(1, branches + 1), range(1, branches + 1)),
hgm_type=(nlsp.HammersteinGroupModel_up,
nlsp.HammersteinGroupModel_up))
init_coeffs, non = nlsp.nonlinearconvolution_powerseries_temporalreversal(
sweep, ref_nlsystem.GetOutput(2), branches=branches)
init_coeffs = nlsp.change_length_filterkernels(init_coeffs, filter_length)
ref_nlsystem = nlsp.HammersteinGroup_Series(
input_signal=input_signal,
nonlinear_functions=(nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
nlsp.nl_branches(
nlsp.function_factory.chebyshev1_polynomial,
branches)),
filter_irs=(filter_spec_tofind1, filter_spec_tofind2),
max_harmonics=(range(1, branches + 1), range(1, branches + 1)),
hgm_type=(nlsp.HammersteinGroupModel_up,
nlsp.HammersteinGroupModel_up))
found_filter_spec, nl_functions = nlsp.adaptive_identification_legendre(
input_generator=input_generator,
outputs=ref_nlsystem.GetOutput(2),
branches=branches,
init_coeffs=init_coeffs)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem = nlsp.HammersteinGroup_Series(
input_signal=reference,
nonlinear_functions=(
nlsp.nl_branches(nlsp.function_factory.power_series, branches),
nlsp.nl_branches(nlsp.function_factory.chebyshev1_polynomial,
branches)),
filter_irs=(filter_spec_tofind1, filter_spec_tofind2),
max_harmonics=(range(1, branches + 1), range(1, branches + 1)),
hgm_type=(nlsp.HammersteinGroupModel_up,
nlsp.HammersteinGroupModel_up))
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplotphase(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput(2)).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=True)
print "SNR between Reference and Identified output for double hgm different: %r" % nlsp.snr(
ref_nlsystem.GetOutput(2), iden_nlsystem.GetOutput())
def hgmwithfilter_evaluation_sweepadaptive(input_generator,
branches,
nlfuntion,
Plot,
reference=None):
input_signal = input_generator.GetOutput()
# filter_spec_tofind = nlsp.create_bpfilter([2000,8000,30000],input_signal)
filter_spec_tofind = nlsp.log_bpfilter(branches=branches,
input=input_signal)
# filter_spec_tofind = nlsp.log_chebyfilter(branches=branches,input=input_signal)
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nlsp.nl_branches(nlfuntion, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
sweep = nlsp.NovakSweepGenerator_Sine(
sampling_rate=input_signal.GetSamplingRate(), length=len(input_signal))
ref_nlsystem.SetInput(sweep.GetOutput())
sweep_start = time.clock()
init_coeffs, non = nlsp.nonlinearconvolution_powerseries_temporalreversal(
sweep, ref_nlsystem.GetOutput(), branches=branches)
sweep_stop = time.clock()
init_coeffs = nlsp.change_length_filterkernels(init_coeffs, filter_length)
ref_nlsystem.SetInput(input_signal)
adapt_sweep_start = time.clock()
found_filter_spec, nl_functions = nlsp.adaptive_identification_legendre(
input_generator=input_generator,
outputs=ref_nlsystem.GetOutput(),
branches=branches,
init_coeffs=init_coeffs,
filtertaps=filter_length)
adapt_sweep_stop = time.clock()
adapt_start = time.clock()
found_filter_spec, nl_functions = nlsp.adaptive_identification_legendre(
input_generator=input_generator,
outputs=ref_nlsystem.GetOutput(),
branches=branches,
filtertaps=filter_length)
adapt_stop = time.clock()
print "sweep_identification time %r" % (sweep_start - sweep_stop)
print "sweep_adapt_identification time %r" % (adapt_sweep_start -
adapt_sweep_stop)
print "adapt_identification time %r" % (adapt_start - adapt_stop)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
# nlsp.filterkernel_evaluation_plot(filter_spec_tofind,found_filter_spec)
# nlsp.filterkernel_evaluation_sum(filter_spec_tofind,found_filter_spec)
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference Output",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified Output",
show=True)
print "SNR between Reference and Identified output without overlapping filters: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
def linearmodel_evaluation(input_generator,
branches,
nlfunction,
Plot,
reference=None):
input_signal = input_generator.GetOutput()
prp = sumpf.modules.ChannelDataProperties()
prp.SetSignal(input_signal)
filter_ir = sumpf.modules.FilterGenerator(
filterfunction=sumpf.modules.FilterGenerator.BUTTERWORTH(order=10),
frequency=10000.0,
transform=False,
resolution=prp.GetResolution(),
length=prp.GetSpectrumLength()).GetSpectrum()
ref_nlsystem = nlsp.AliasCompensatingHammersteinModelUpandDown(
filter_impulseresponse=sumpf.modules.InverseFourierTransform(
filter_ir).GetSignal())
sweep = nlsp.NovakSweepGenerator_Sine(
sampling_rate=input_signal.GetSamplingRate(), length=len(input_signal))
ref_nlsystem.SetInput(sweep.GetOutput())
init_coeffs, non = nlsp.nonlinearconvolution_powerseries_temporalreversal(
sweep, ref_nlsystem.GetOutput(), branches=branches)
init_coeffs = nlsp.change_length_filterkernels(init_coeffs, filter_length)
ref_nlsystem.SetInput(input_signal)
found_filter_spec, nl_functions = nlsp.adaptive_identification_legendre(
input_generator=input_generator,
outputs=ref_nlsystem.GetOutput(),
branches=branches,
init_coeffs=init_coeffs)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
# linear system identification
sweep = nlsp.NovakSweepGenerator_Sine(
length=len(input_signal), sampling_rate=input_signal.GetSamplingRate())
ref_nlsystem.SetInput(sweep.GetOutput())
kernel_linear = nlsp.linear_identification_temporalreversal(
sweep, ref_nlsystem.GetOutput())
iden_linsystem = nlsp.AliasCompensatingHammersteinModelUpandDown(
filter_impulseresponse=kernel_linear)
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_linsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_linsystem.GetOutput()).GetSpectrum(),
"Identified linear System",
show=True)
print "SNR between Reference and Identified output for linear systems: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
print "SNR between Reference and Identified output for linear systems(linear identification): %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_linsystem.GetOutput())
def robustness_noise_evaluation(input_generator,
branches,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method robustness by adding noise
nonlinear system - virtual hammerstein group model with power series polynomials as nl function and bandpass filters
as linear functions
plot - the original filter spectrum and the identified filter spectrum, the reference output and identified output
expectation - utmost similarity between the two spectrums
"""
noise_mean = [0, 0.5]
noise_sd = [0.5, 0.7]
for mean, sd in itertools.product(noise_mean, noise_sd):
input_signal = input_generator.GetOutput()
filter_spec_tofind = nlsp.log_bpfilter(branches=branches,
input=input_signal)
filter_spec_tofind = [i for i in reversed(filter_spec_tofind)]
filter_length = len(filter_spec_tofind[0])
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
ref_nlsystem_noise = nlsp.add_noise(
ref_nlsystem.GetOutput(),
sumpf.modules.NoiseGenerator.GaussianDistribution(mean, sd))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
noise_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem_noise,
branches)
found_filter_spec = nlsp.change_length_filterkernels(
found_filter_spec, length=filter_length)
noise_filter_spec = nlsp.change_length_filterkernels(
noise_filter_spec, length=filter_length)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
noise_iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=noise_filter_spec,
max_harmonics=range(1, branches + 1))
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
noise_iden_nlsystem.SetInput(reference)
if Plot is True:
nlsp.relabelandplotphase(
sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference Output", False)
nlsp.relabelandplotphase(
sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified Output", False)
nlsp.relabelandplotphase(
sumpf.modules.FourierTransform(
noise_iden_nlsystem.GetOutput()).GetSpectrum(),
"Noise Identified Output", True)
print "SNR between Reference and Identified output without noise: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
print "SNR between Reference and Identified output with noise of sd %r and mean %r is %r" % (
sd, mean,
nlsp.snr(ref_nlsystem.GetOutput(),
noise_iden_nlsystem.GetOutput()))
def hgmwithfilter_evaluation(input_generator,
branches,
nlfuntion,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method by hgm virtual nl system
nonlinear system - virtual hammerstein group model with power series polynomials as nl function and bandpass filters
as linear functions
plot - the original filter spectrum and the identified filter spectrum, the reference output and identified output
expectation - utmost similarity between the two spectrums
"""
input_signal = input_generator.GetOutput()
# filter_spec_tofind = nlsp.create_bpfilter([2000,8000,30000],input_signal)
filter_spec_tofind = nlsp.log_bpfilter(branches=branches,
input=input_signal)
# filter_spec_tofind = [i for i in reversed(filter_spec_tofind)]
length_kernel = len(filter_spec_tofind[0])
# filter_spec_tofind = nlsp.log_chebyfilter(branches=branches,input=input_signal)
ref_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nlsp.nl_branches(nlfuntion, branches),
filter_irs=filter_spec_tofind,
max_harmonics=range(1, branches + 1))
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
found_filter_spec = nlsp.change_length_filterkernels(found_filter_spec,
length=length_kernel)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
# nlsp.filterkernel_evaluation_plot(filter_spec_tofind,found_filter_spec)
# nlsp.filterkernel_evaluation_sum(filter_spec_tofind,found_filter_spec)
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(ref_nlsystem.GetOutput(),
"Reference Output",
show=False)
plot.relabelandplot(iden_nlsystem.GetOutput(),
"Identified Output",
show=True)
# nlsp.plot_array([sumpf.modules.FourierTransform(s).GetSpectrum() for s in filter_spec_tofind],label_array=["reference%d" %i for i in range(len(filter_spec_tofind))],Show=False)
# nlsp.plot_array([sumpf.modules.FourierTransform(s).GetSpectrum() for s in found_filter_spec],label_array=["identified%d" %i for i in range(len(found_filter_spec))],Show=True)
print "SNR between Reference and Identified output without overlapping filters: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
sumpf.modules.SignalFile(
filename=
"C:/Users/diplomand.8/Desktop/linearHGM_explannation/cheby/noise/input",
signal=reference,
format=sumpf.modules.SignalFile.WAV_FLOAT)
sumpf.modules.SignalFile(
filename=
"C:/Users/diplomand.8/Desktop/linearHGM_explannation/cheby/noise/%s" %
iden_method.__name__,
signal=iden_nlsystem.GetOutput(),
format=sumpf.modules.SignalFile.WAV_FLOAT)
sumpf.modules.SignalFile(
filename=
"C:/Users/diplomand.8/Desktop/linearHGM_explannation/cheby/noise/reference",
signal=ref_nlsystem.GetOutput(),
format=sumpf.modules.SignalFile.WAV_FLOAT)
def loudspeaker_evaluation_all(branches=3, Plot=True):
branches = branches
sampling_rate = 48000.0
length = 2**18
start_freq = 100.0
stop_freq = 20000.0
fade_out = 0.02
fade_in = 0.02
filter_taps = 2**10
iterations = 5
source_dir = "C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_db/"
# input generator
sine_g = nlsp.NovakSweepGenerator_Sine(sampling_rate=sampling_rate,
length=length,
start_frequency=start_freq,
stop_frequency=stop_freq,
fade_out=fade_out,
fade_in=fade_in)
cos_g = nlsp.NovakSweepGenerator_Cosine(sampling_rate=sampling_rate,
length=length,
start_frequency=start_freq,
stop_frequency=stop_freq,
fade_out=fade_out,
fade_in=fade_in)
# real world reference system, load input and output noise and sweeps
load_noise = sumpf.modules.SignalFile(
filename=os.path.join(source_dir, "Noise18.npz"),
format=sumpf.modules.SignalFile.WAV_FLOAT)
load_sine = sumpf.modules.SignalFile(
filename=os.path.join(source_dir, "sine_f.npz"),
format=sumpf.modules.SignalFile.WAV_FLOAT)
load_cosine = sumpf.modules.SignalFile(
filename=os.path.join(source_dir, "cos_f.npz"),
format=sumpf.modules.SignalFile.WAV_FLOAT)
load_sample = sumpf.modules.SignalFile(
filename=os.path.join(source_dir, "Music1.npz"),
format=sumpf.modules.SignalFile.WAV_FLOAT)
output_sample = sumpf.modules.SplitSignal(data=load_sample.GetSignal(),
channels=[1]).GetOutput()
input_sample = sumpf.modules.SplitSignal(data=load_sample.GetSignal(),
channels=[0]).GetOutput()
output_sample = nlsp.change_length_signal(output_sample, 2**18)
input_sample = nlsp.change_length_signal(input_sample, 2**18)
output_noise = sumpf.modules.SplitSignal(data=load_noise.GetSignal(),
channels=[1]).GetOutput()
input_noise = sumpf.modules.SplitSignal(data=load_noise.GetSignal(),
channels=[0]).GetOutput()
output_sine = sumpf.modules.SplitSignal(data=load_sine.GetSignal(),
channels=[1]).GetOutput()
output_cos = sumpf.modules.SplitSignal(data=load_cosine.GetSignal(),
channels=[1]).GetOutput()
impulse = sumpf.modules.ImpulseGenerator(
length=filter_taps, samplingrate=sampling_rate).GetSignal()
# linear identification
kernel_linear, nlfunc = nlsp.linear_identification(sine_g, output_sine,
branches)
iden_nlsystem_linear = nlsp.HammersteinGroupModel_up(
filter_irs=kernel_linear, nonlinear_functions=nlfunc)
# linear identification
kernel_linear_hgm, nlfunc_hgm = nlsp.linear_identification_powerhgm(
sine_g, output_sine, branches)
iden_nlsystem_linear_hgm = nlsp.HammersteinGroupModel_up(
filter_irs=kernel_linear_hgm, nonlinear_functions=nlfunc_hgm)
# only sine based system identification
# found_filter_spec_sine, nl_function_sine = nlsp.systemidentification("LS",nlsp.nonlinearconvolution_powerseries_temporalreversal,
# branches,sine_g,output_sine)
found_filter_spec_sine, nl_function_sine = nlsp.nonlinearconvolution_powerseries_temporalreversal(
sine_g, output_sine, branches)
iden_nlsystem_sine = nlsp.HammersteinGroupModel_up(
max_harmonics=range(1, branches + 1),
nonlinear_functions=nl_function_sine,
filter_irs=found_filter_spec_sine)
# only cosine based system identification
# found_filter_spec_cos, nl_function_cos = nlsp.systemidentification("LS",nlsp.nonlinearconvolution_chebyshev_temporalreversal,
# branches,cos_g,output_cos)
found_filter_spec_cos, nl_function_cos = nlsp.nonlinearconvolution_chebyshev_temporalreversal(
cos_g, output_cos, branches)
iden_nlsystem_cos = nlsp.HammersteinGroupModel_up(
max_harmonics=range(1, branches + 1),
nonlinear_functions=nl_function_cos,
filter_irs=found_filter_spec_cos)
# only noise based system identification
# found_filter_spec_adapt, nl_function_adapt = nlsp.adaptive_identification_legendre(input_generator=input_noise,outputs=output_noise,iterations=iterations,branches=branches,
# step_size=0.1,filtertaps=filter_taps,algorithm=nlsp.multichannel_nlms,Plot=False)
# iden_nlsystem_adapt = nlsp.HammersteinGroupModel_up(max_harmonics=range(1,branches+1),nonlinear_functions=nl_function_adapt,
# filter_irs=found_filter_spec_adapt)
# sine based as init coeff for noise based system identification
# found_filter_spec_sine_reducedlength = nlsp.change_length_filterkernels(found_filter_spec_sine,length=filter_taps)
# found_filter_spec_sineadapt, nl_function_sineadapt = nlsp.adaptive_identification_legendre(input_generator=input_noise,outputs=output_noise,iterations=iterations,branches=branches,
# step_size=0.1,filtertaps=filter_taps,algorithm=nlsp.multichannel_nlms,Plot=False,init_coeffs=found_filter_spec_sine_reducedlength)
# iden_nlsystem_sineadapt = nlsp.HammersteinGroupModel_up(max_harmonics=range(1,branches+1),nonlinear_functions=nl_function_sineadapt,
# filter_irs=found_filter_spec_sineadapt)
# cos based as init coeff for noise based system identification
# found_filter_spec_cos_reducedlength = nlsp.change_length_filterkernels(found_filter_spec_cos,length=filter_taps)
# found_filter_spec_cosadapt, nl_function_cosadapt = nlsp.adaptive_identification_powerseries(input_generator=input_noise,outputs=output_noise,iterations=iterations,branches=branches,
# step_size=0.1,filtertaps=filter_taps,algorithm=nlsp.multichannel_nlms,Plot=False,init_coeffs=found_filter_spec_cos_reducedlength,
# nonlinear_func=nlsp.function_factory.chebyshev1_polynomial)
# iden_nlsystem_cosadapt = nlsp.HammersteinGroupModel_up(max_harmonics=range(1,branches+1),nonlinear_functions=nl_function_cosadapt,
# filter_irs=found_filter_spec_cosadapt)
# set excitation as input
iden_nlsystem_linear.SetInput(sine_g.GetOutput())
iden_nlsystem_linear_hgm.SetInput(sine_g.GetOutput())
iden_nlsystem_sine.SetInput(sine_g.GetOutput())
iden_nlsystem_cos.SetInput(cos_g.GetOutput())
# iden_nlsystem_adapt.SetInput(input_noise)
# iden_nlsystem_sineadapt.SetInput(input_noise)
# iden_nlsystem_cosadapt.SetInput(input_noise)
plot.relabelandplot(
sumpf.modules.FourierTransform(output_sine).GetSpectrum(),
"Reference system",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem_sine.GetOutput()).GetSpectrum(),
"Sweep based system identification",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem_linear.GetOutput()).GetSpectrum(),
"Linear identified system",
show=True)
if Plot is True:
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_sine.GetOutput()).GetSpectrum(),"Identified power",show=False)
plot.relabelandplot(
sumpf.modules.FourierTransform(output_sine).GetSpectrum(),
"Reference system",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem_linear.GetOutput()).GetSpectrum(),
"Linear identified system",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem_sineadapt.GetOutput()).GetSpectrum(),
"sweep-adaptive output",
show=True)
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_cos.GetOutput()).GetSpectrum(),"Identified cheby",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(output_cos).GetSpectrum(),"Reference cheby",show=True)
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_adapt.GetOutput()).GetSpectrum(),"Identified Adapt noise",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_sineadapt.GetOutput()).GetSpectrum(),"Identified power Adapt noise",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_cosadapt.GetOutput()).GetSpectrum(),"Identified chebyshev Adapt noise",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(output_noise).GetSpectrum(),"Reference Adapt noise",show=True)
print "SNR between Reference and Identified output linear: %r" % nlsp.snr(
output_sine, iden_nlsystem_linear.GetOutput())
print "SNR between Reference and Identified output linear hgm: %r" % nlsp.snr(
output_sine, iden_nlsystem_linear_hgm.GetOutput())
print "SNR between Reference and Identified output Powerseries NL convolution: %r" % nlsp.snr(
output_sine, iden_nlsystem_sine.GetOutput())
print "SNR between Reference and Identified output Chebyshev NL convolution: %r" % nlsp.snr(
output_cos, iden_nlsystem_cos.GetOutput())
print "SNR between Reference and Identified output Adaptive: %r" % nlsp.snr(
output_noise, iden_nlsystem_adapt.GetOutput())
print "SNR between Reference and Identified output Powerseries Adaptive: %r" % nlsp.snr(
output_noise, iden_nlsystem_sineadapt.GetOutput())
# print "SNR between Reference and Identified output Chebyshev Adaptive: %r" %nlsp.snr(output_noise, iden_nlsystem_cosadapt.GetOutput())
# set sample as input
iden_nlsystem_linear.SetInput(input_sample)
iden_nlsystem_linear_hgm.SetInput(input_sample)
iden_nlsystem_sine.SetInput(input_sample)
iden_nlsystem_cos.SetInput(input_sample)
iden_nlsystem_adapt.SetInput(input_sample)
iden_nlsystem_sineadapt.SetInput(input_sample)
# iden_nlsystem_cosadapt.SetInput(input_sample)
# if Plot is True:
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_sine.GetOutput()).GetSpectrum(),"Identified power",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_cos.GetOutput()).GetSpectrum(),"Identified cheby",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_adapt.GetOutput()).GetSpectrum(),"Identified Adapt noise",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_sineadapt.GetOutput()).GetSpectrum(),"Identified power Adapt noise",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(iden_nlsystem_cosadapt.GetOutput()).GetSpectrum(),"Identified chebyshev Adapt noise",show=False)
# plot.relabelandplot(sumpf.modules.FourierTransform(output_sample).GetSpectrum(),"Reference Adapt noise",show=True)
print "SNR between Reference and Identified output linear: %r" % nlsp.snr(
output_sample, iden_nlsystem_linear.GetOutput())
print "SNR between Reference and Identified output linear hgm: %r" % nlsp.snr(
output_sample, iden_nlsystem_linear_hgm.GetOutput())
print "SNR between Reference and Identified output Powerseries NL convolution: %r" % nlsp.snr(
output_sample, iden_nlsystem_sine.GetOutput())
print "SNR between Reference and Identified output Chebyshev NL convolution: %r" % nlsp.snr(
output_sample, iden_nlsystem_cos.GetOutput())
print "SNR between Reference and Identified output Adaptive: %r" % nlsp.snr(
output_sample, iden_nlsystem_adapt.GetOutput())
print "SNR between Reference and Identified output Powerseries Adaptive: %r" % nlsp.snr(
output_sample, iden_nlsystem_sineadapt.GetOutput())
def linearmodel_evaluation(input_generator,
branches,
nlfunction,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method by linear amplification
nonlinear system - no nonlinearity, linear amplifier as linear system
inputsignal - signal signal
plot - the virtual linear system output and the identified linear system output
expectation - utmost similarity between the two outputs
"""
input_signal = input_generator.GetOutput()
prp = sumpf.modules.ChannelDataProperties()
prp.SetSignal(input_signal)
filter_ir = sumpf.modules.FilterGenerator(
filterfunction=sumpf.modules.FilterGenerator.BUTTERWORTH(order=10),
frequency=10000.0,
transform=False,
resolution=prp.GetResolution(),
length=prp.GetSpectrumLength()).GetSpectrum()
ref_nlsystem = nlsp.AliasingCompensatedHM_upsampling(
filter_impulseresponse=sumpf.modules.InverseFourierTransform(
filter_ir).GetSignal())
ref_nlsystem.SetInput(input_signal)
# nonlinear system identification
found_filter_spec, nl_functions = iden_method(input_generator,
ref_nlsystem.GetOutput(),
branches)
iden_nlsystem = nlsp.HammersteinGroupModel_up(
input_signal=input_signal,
nonlinear_functions=nl_functions,
filter_irs=found_filter_spec,
max_harmonics=range(1, branches + 1))
# linear system identification
sweep = nlsp.NovakSweepGenerator_Sine(
length=len(input_signal), sampling_rate=input_signal.GetSamplingRate())
ref_nlsystem.SetInput(sweep.GetOutput())
kernel_linear = nlsp.linear_identification_temporalreversal(
sweep, ref_nlsystem.GetOutput())
iden_linsystem = nlsp.AliasCompensatingHammersteinModelUpandDown(
filter_impulseresponse=kernel_linear)
if reference is not None:
reference = nlsp.change_length_signal(reference,
length=len(input_signal))
ref_nlsystem.SetInput(reference)
iden_linsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplot(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).GetSpectrum(),
"Reference System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified System",
show=False)
plot.relabelandplot(sumpf.modules.FourierTransform(
iden_linsystem.GetOutput()).GetSpectrum(),
"Identified linear System",
show=True)
print "SNR between Reference and Identified output for linear systems: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
print "SNR between Reference and Identified output for linear systems(linear identification): %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_linsystem.GetOutput())
