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 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 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 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 softclipping_evaluation(input_generator,
branches,
iden_method,
Plot,
reference=None):
"""
Evaluation of System Identification method by soft clipping system
nonlinear system - virtual clipping systems which soft 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
"""
thresholds = [-1.0, 1.0]
power = 1.0 / 3.0
input_signal = input_generator.GetOutput()
ref_nlsystem = nlsp.NLClipSignal(thresholds=thresholds, power=power)
ref_nlsystem.SetInput(input_signal)
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:
ref_nlsystem.SetInput(reference)
iden_nlsystem.SetInput(reference)
if Plot is True:
plot.relabelandplotphase(sumpf.modules.FourierTransform(
ref_nlsystem.GetOutput()).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 soft clipping: %r" % nlsp.snr(
ref_nlsystem.GetOutput(), iden_nlsystem.GetOutput())
def wgnasreference():
branches = 3
sampling_rate = 48000.0
length = 2**18
start_freq = 100.0
stop_freq = 20000.0
fade_out = 0.00
fade_in = 0.00
filter_taps = 2**11
# 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=
"C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_ls/Noise18.npz",
format=sumpf.modules.SignalFile.WAV_FLOAT)
load_sine = sumpf.modules.SignalFile(
filename="C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_ls/sine.npz",
format=sumpf.modules.SignalFile.WAV_FLOAT)
load_cosine = sumpf.modules.SignalFile(
filename="C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_ls/cos.npz",
format=sumpf.modules.SignalFile.WAV_FLOAT)
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()
# initialize hgm
iden_nlsystem = nlsp.HammersteinGroupModel_up(
max_harmonics=range(1, branches + 1),
nonlinear_functions=nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
filter_irs=[
impulse,
] * branches)
# only sine based system identification
found_filter_spec_sine, nl_function_sine = nlsp.nonlinearconvolution_powerseries_temporalreversal(
sine_g, output_sine, branches)
iden_nlsystem.SetInput(signal=input_noise)
iden_nlsystem.SetNLFunctions(nl_function_sine)
iden_nlsystem.SetFilterIRS(found_filter_spec_sine)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified power noise",
show=False)
print "SNR between Reference and Identified output Sine: %r" % nlsp.snr(
output_noise, iden_nlsystem.GetOutput())
# only cosine based system identification
found_filter_spec_cos, nl_function_cos = nlsp.nonlinearconvolution_chebyshev_temporalreversal(
cos_g, output_cos, branches)
iden_nlsystem.SetInput(signal=input_noise)
iden_nlsystem.SetNLFunctions(nl_function_cos)
iden_nlsystem.SetFilterIRS(found_filter_spec_cos)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified cheby noise",
show=False)
print "SNR between Reference and Identified output Cos: %r" % nlsp.snr(
output_noise, iden_nlsystem.GetOutput())
# only noise based system identification
found_filter_spec_adapt, nl_function_adapt = nlsp.adaptive_identification(
input_generator=input_noise,
outputs=output_noise,
iterations=1,
branches=branches,
step_size=0.1,
filtertaps=filter_taps,
algorithm=nlsp.multichannel_nlms,
Plot=False)
iden_nlsystem.SetInput(signal=input_noise)
iden_nlsystem.SetNLFunctions(nl_function_adapt)
iden_nlsystem.SetFilterIRS(found_filter_spec_adapt)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified Adapt noise",
show=False)
print "SNR between Reference and Identified output Adapt: %r" % nlsp.snr(
output_noise, iden_nlsystem.GetOutput())
# 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(
input_generator=input_noise,
outputs=output_noise,
iterations=1,
branches=branches,
step_size=0.1,
filtertaps=filter_taps,
algorithm=nlsp.multichannel_nlms,
Plot=False,
init_coeffs=found_filter_spec_sine_reducedlength)
iden_nlsystem.SetInput(signal=input_noise)
iden_nlsystem.SetNLFunctions(nl_function_sineadapt)
iden_nlsystem.SetFilterIRS(found_filter_spec_sineadapt)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified power Adapt noise",
show=False)
print "SNR between Reference and Identified output Sine Adapt: %r" % nlsp.snr(
output_noise, iden_nlsystem.GetOutput())
# 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(
input_generator=input_noise,
outputs=output_noise,
iterations=1,
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.SetInput(signal=input_noise)
iden_nlsystem.SetNLFunctions(nl_function_cosadapt)
iden_nlsystem.SetFilterIRS(found_filter_spec_cosadapt)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified chebyshev Adapt noise",
show=False)
print "SNR between Reference and Identified output Cos Adapt: %r" % nlsp.snr(
output_noise, iden_nlsystem.GetOutput())
plot.relabelandplotphase(
sumpf.modules.FourierTransform(output_noise).GetSpectrum(),
"Reference Noise",
show=True)
def loudspeaker_model_adaptive():
"""
Realworld nonlinear system(Loudspeaker) Model using adaptive system identification
"""
branches = 5
filter_taps = 2**11
# real world reference system, load input and output noise
load_noise = sumpf.modules.SignalFile(
filename=
"C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_db/Noise18.npz",
format=sumpf.modules.SignalFile.WAV_FLOAT)
output_noise = sumpf.modules.SplitSignal(data=load_noise.GetSignal(),
channels=[1]).GetOutput()
input_noise = sumpf.modules.SplitSignal(data=load_noise.GetSignal(),
channels=[0]).GetOutput()
impulse = sumpf.modules.ImpulseGenerator(
length=filter_taps,
samplingrate=input_noise.GetSamplingRate()).GetSignal()
# initialize hgm
iden_nlsystem = nlsp.HammersteinGroupModel_up(
max_harmonics=range(1, branches + 1),
nonlinear_functions=nlsp.nl_branches(
nlsp.function_factory.power_series, branches),
filter_irs=[
impulse,
] * branches)
# only noise based adaptive system identification
found_filter_spec_adapt, nl_function_adapt = nlsp.adaptive_identification(
input_generator=input_noise,
outputs=output_noise,
iterations=1,
branches=branches,
step_size=0.1,
filtertaps=filter_taps,
algorithm=nlsp.multichannel_nlms,
Plot=False)
iden_nlsystem.SetInput(input_noise)
iden_nlsystem.SetNLFunctions(nl_function_adapt)
iden_nlsystem.SetFilterIRS(found_filter_spec_adapt)
plot.relabelandplotphase(sumpf.modules.FourierTransform(
iden_nlsystem.GetOutput()).GetSpectrum(),
"Identified Adapt sine",
show=False)
print "SNR between Reference and Identified output Noise signal: %r" % nlsp.snr(
output_noise, iden_nlsystem.GetOutput())
plot.relabelandplotphase(
sumpf.modules.FourierTransform(output_noise).GetSpectrum(),
"Reference Noise",
show=True)
load_sample = sumpf.modules.SignalFile(
filename=
"C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_db/Speech1.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()
iden_nlsystem.SetInput(input_sample)
# save the output to the directory
iden = sumpf.modules.SignalFile(
filename=
"C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_db/sim/identified",
signal=iden_nlsystem.GetOutput(),
format=sumpf.modules.SignalFile.WAV_FLOAT)
ref = sumpf.modules.SignalFile(
filename=
"C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_db/sim/reference",
signal=output_sample,
format=sumpf.modules.SignalFile.WAV_FLOAT)
inp = sumpf.modules.SignalFile(
filename=
"C:/Users/diplomand.8/Desktop/nl_recordings/rec_4_db/sim/input",
signal=input_sample,
format=sumpf.modules.SignalFile.WAV_FLOAT)
print "Distortion box, SNR between Reference and Identified output Sample,nl: %r" % nlsp.snr(
output_sample, 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())