def test_psdmod():
TF = 30 # make a 30 second signal
spec = [[20, 50], [1, 1]]
sig, sr, t = psd.psd2time(
spec,
ppc=10,
fstart=20,
fstop=50,
df=1 / TF,
winends=dict(portion=10),
gettime=True,
)
# sr = 500
f, p = signal.welch(sig, sr, nperseg=sr) # 1 second windows, df=1
f2, p2 = psd.psdmod(sig, sr, nperseg=sr, timeslice=4, tsoverlap=0.5)
f2b, p2b = psd.psdmod(sig, sr, nperseg=sr, timeslice="2000", tsoverlap=0.5)
assert np.allclose(f2b, f2)
assert np.allclose(p2b, p2)
pv = np.logical_and(f2 > 24, f2 < 47)
assert np.all(p2[pv] > p[pv])
# mimic standard welch:
f3, p3 = psd.psdmod(sig, sr, nperseg=sr, timeslice=30, tsoverlap=0.5)
assert np.allclose(p3, p)
# mimic maximax:
f4, p4 = psd.psdmod(sig, sr, nperseg=sr)
assert np.all(p4[pv] > p2[pv])
# test the map output:
f5, p5, pmap, t = psd.psdmod(sig, sr, getmap=1)
assert np.allclose(p5, np.max(pmap, axis=1))
tshouldbe = np.arange(0.5, 30.0 - 0.25, 0.5)
assert np.allclose(t, tshouldbe)
def test_fdepsd_pvelo():
TF = 60 # make a 60 second signal
sp = 1.0
spec = np.array([[20, sp], [50, sp]])
sig, sr, t = psd.psd2time(
spec,
ppc=10,
fstart=20,
fstop=50,
df=1 / TF,
winends=dict(portion=10),
gettime=True,
)
freq = np.arange(30.0, 50.1)
q = 25
fde_auto = fdepsd(sig, sr, freq, q, resp="pvelo")
fde_no = fdepsd(sig,
sr,
freq,
q,
resp="pvelo",
parallel="no",
verbose=True)
b, a = signal.butter(3, 5 / (sr / 2), "high")
sig5 = signal.lfilter(b, a, sig)
fde_yes = fdepsd(sig5,
sr,
freq,
q,
resp="pvelo",
parallel="yes",
hpfilter=None)
compare(fde_auto, fde_no)
compare(fde_auto, fde_yes)
pv = np.logical_and(freq > 32, freq < 45)
assert abs(np.mean(fde_auto.psd.iloc[pv, :2], axis=0) - sp).max() < 0.22
assert abs(np.mean(fde_auto.psd.iloc[pv, 2:], axis=0) - sp).max() < 0.22
assert np.all(fde_auto.freq == freq)
# check the damage indicators:
flight_over_test = fde_auto.di_sig.loc[freq[0]] / fde_auto.di_test.loc[
freq[0]]
var = fde_auto.var[freq[0]]
assert abs(1 - flight_over_test["b=4"]**(1 / 2) / var) < 0.1
assert abs(1 - flight_over_test["b=8"]**(1 / 4) / var) < 0.18
assert abs(1 - flight_over_test["b=12"]**(1 / 6) / var) < 0.28
fde_none = fdepsd(sig, sr, freq, q, resp="pvelo", rolloff=None)
fde_pre = fdepsd(sig, sr, freq, q, resp="pvelo", rolloff="prefilter")
assert np.all((fde_none.psd <= fde_pre.psd).values)
T0 = 120
fde_T0 = fdepsd(sig, sr, freq, q, T0=T0, resp="pvelo")
factor = np.log(freq * 60) / np.log(freq * T0)
assert np.allclose(fde_T0.psd.iloc[:, :2],
fde_auto.psd.iloc[:, :2].multiply(factor, axis=0))
assert np.all((fde_T0.psd.iloc[:, 2:] < fde_auto.psd.iloc[:, 2:]).values)
def test_fdepsd_winends():
TF = 60 # make a 60 second signal
sp = 1.0
spec = np.array([[20, sp], [50, sp]])
sig, sr, t = psd.psd2time(
spec,
ppc=10,
fstart=20,
fstop=50,
df=1 / TF,
winends=dict(portion=40),
gettime=True,
)
sig[0] = 20
freq = np.arange(1.0, 3.1)
q = 25
fde = fdepsd(sig, sr, freq, q, hpfilter=None)
fde2 = fdepsd(sig, sr, freq, q, hpfilter=None, winends=None)
fde3 = fdepsd(sig, sr, freq, q, hpfilter=None, winends=dict(portion=20))
assert np.all((fde2.psd.iloc[:, 0] > 4 * fde.psd.iloc[:, 0]).values)
assert np.all((fde2.psd.iloc[:, 0] > 4 * fde3.psd.iloc[:, 0]).values)
def test_psd2time():
spec = np.array([[20, 0.0768], [50, 0.48], [100, 0.48]])
sig, sr = psd.psd2time(spec,
ppc=10,
fstart=35,
fstop=70,
df=0.01,
winends=dict(portion=0.01))
# ensure that expand_method works:
sig2, sr2 = psd.psd2time(
spec,
ppc=10,
fstart=35,
fstop=70,
df=0.01,
winends=dict(portion=0.01),
expand_method="rescale",
)
f1, p1 = psd.psdmod(sig, sr, timeslice=f"{len(sig)}")
f2, p2 = psd.psdmod(sig2, sr2, timeslice=f"{len(sig)}")
assert np.trapz(p1, f1) < np.trapz(p2, f2)
assert_raises(
ValueError,
psd.psd2time,
spec,
ppc=10,
fstart=35,
fstop=70,
df=0.01,
winends=dict(portion=0.01),
expand_method="bad expand method",
)
assert np.allclose(700.0, sr) # 70*10
assert sig.size == 700 * 100
f, p = signal.welch(sig, sr, nperseg=sr)
pv = np.logical_and(f >= 37, f <= 68)
fi = f[pv]
psdi = p[pv]
speci = psd.interp(spec, fi).flatten()
assert abs(speci - psdi).max() < 0.05
assert abs(np.trapz(psdi, fi) - np.trapz(speci, fi)) < 0.25
spec = ([0.1, 5], [0.1, 0.1])
sig, sr = psd.psd2time(spec,
ppc=10,
fstart=0.1,
fstop=5,
df=0.2,
winends=dict(portion=0.01))
# df gets internally reset to fstart
assert np.allclose(5 * 10.0, sr)
assert sig.size == 50 * 10
f, p = signal.welch(sig, sr, nperseg=sr)
pv = np.logical_and(f >= 0.5, f <= 3.0)
fi = f[pv]
psdi = p[pv]
speci = psd.interp(spec, fi).flatten()
assert abs(speci - psdi).max() < 0.05
assert abs(np.trapz(psdi, fi) - np.trapz(speci, fi)) < 0.065
# ppc gets reset to 2 case:
spec = np.array([[0.1, 2.0], [5, 2.0]])
sig, sr = psd.psd2time(spec,
ppc=1,
fstart=0.1,
fstop=5,
df=0.2,
winends=dict(portion=0.01))
assert (np.sum(np.mean(sig**2)) - 2.0 * 4.9) / (2.0 * 4.9) < 0.1
# odd length FFT case:
spec = np.array([[0.1, 2.0], [5, 2.0]])
sig, sr, t = psd.psd2time(spec,
ppc=3,
fstart=0.2,
fstop=5,
df=0.2,
winends=dict(portion=0.01),
gettime=1)
assert np.allclose(5 * 3, sr)
assert sig.size == 15 * 5
assert (np.sum(np.mean(sig**2)) - 2.0 * 4.8) / (2.0 * 4.8) < 0.1
assert np.allclose(t, np.arange(15 * 5) / sr)