kopia lustrzana https://github.com/erdewit/HiFiScan
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Autor | SHA1 | Data |
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Ewald de Wit | a17f14c6fc | |
Ewald de Wit | ae6d522b6e |
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@ -1,7 +1,7 @@
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"""'Optimize the frequency response spectrum of an audio system"""
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from hifiscan.analyzer import (
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Analyzer, XY, geom_chirp, linear_chirp, minimum_phase, resample,
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Analyzer, XY, geom_chirp, linear_chirp, transform_causality, resample,
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smooth, taper, tone, window)
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from hifiscan.audio import Audio
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from hifiscan.io_ import Sound, read_correction, read_wav, write_wav
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@ -223,7 +223,7 @@ class Analyzer:
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dbRange: float = 24,
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kaiserBeta: float = 5,
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smoothing: float = 0,
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minPhase: bool = False) -> XY:
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causality: float = 0) -> XY:
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"""
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Calculate the inverse impulse response.
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@ -232,7 +232,7 @@ class Analyzer:
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dbRange: Maximum attenuation in dB (power).
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kaiserBeta: Shape parameter of the Kaiser tapering window.
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smoothing: Strength of frequency-dependent smoothing.
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minPhase: Use minimal-phase if True or linear-phase if False
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causality: 0 = linear-phase a-causal, 1 = minimal-phase causal.
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"""
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freq, H2 = self.H2(smoothing)
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# Apply target curve.
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@ -240,9 +240,6 @@ class Analyzer:
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H2 = H2 * 10 ** (-self.target() / 10)
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# Re-sample to halve the number of samples needed.
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n = int(secs * self.rate / 2)
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if minPhase:
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# Later minimum phase filter will halve the size.
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n *= 2
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H = resample(H2, n) ** 0.5
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# Accommodate the given dbRange from the top.
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H /= H.max()
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@ -258,11 +255,11 @@ class Analyzer:
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z = irfft(Z)
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z = z[:-1]
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z *= window(z.size, kaiserBeta)
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if minPhase:
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z = minimum_phase(z)
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if causality:
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z = transform_causality(z, causality)
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# Normalize using a fractal dimension for scaling.
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dim = 1.25 if minPhase else 1.5
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dim = 1.5 - 0.25 * causality
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norm = (np.abs(z) ** dim).sum() ** (1 / dim)
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z /= norm
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@ -396,31 +393,38 @@ def taper(y0: float, y1: float, size: int) -> np.ndarray:
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return tp
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def minimum_phase(x: np.ndarray) -> np.ndarray:
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def transform_causality(x: np.ndarray, causality: float = 1) -> np.ndarray:
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"""
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Homomorphic filter to create a minimum-phase impulse from the given
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symmetric odd-sized linear-phase impulse.
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Homomorphic filter to create a new impulse of desired causality from
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the given impulse.
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Params:
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causality: 0 = linear-phase, 1 = minimal-phase and
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in-between values smoothly transition between these two.
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https://www.rle.mit.edu/dspg/documents/AVOHomoorphic75.pdf
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https://www.katjaas.nl/minimumphase/minimumphase.html
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"""
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mid = x.size // 2
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if not (x.size % 2 and np.allclose(x[:mid], x[-1:mid:-1])):
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raise ValueError('Symmetric odd-sized array required')
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# Go to frequency domain, oversampling 4x to avoid aliasing.
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X = np.abs(fft(x, 4 * x.size))
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# Non-linear mapping.
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XX = np.log(np.fmax(X, 1e-9))
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# Linear filter selects minimum phase part in the complex cepstrum.
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# Linear filter to apply the desired amount of causal (right)
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# and anti-causal (left) parts to the complex cepstrum.
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xx = ifft(XX).real
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mid = x.size // 2
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left = slice(-1, -mid - 1, -1)
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right = slice(1, mid + 1)
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yy = np.zeros_like(xx)
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yy[0] = xx[0]
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yy[1:mid + 1] = 2 * xx[1:mid + 1]
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yy[left] = (1 - causality) * xx[right]
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yy[right] = (1 + causality) * xx[right]
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YY = fft(yy)
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# Non-linear mapping back.
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Y = np.exp(YY)
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# Go back to time domain.
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y = ifft(Y).real
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# Take the valid part.
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y_min = y[:mid + 1]
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return y_min
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# Shift and take the valid part.
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y = np.roll(y, int((1 - causality) * x.size / 2))
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y = y[:int(x.size * (1 - causality / 2))]
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return y
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@ -100,9 +100,9 @@ class App(qt.QMainWindow):
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dbRange = self.dbRange.value()
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beta = self.kaiserBeta.value()
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smoothing = self.irSmoothing.value()
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minPhase = self.typeBox.currentIndex() == 1
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causality = self.causality.value() / 100
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t, ir = analyzer.h_inv(secs, dbRange, beta, smoothing, minPhase)
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t, ir = analyzer.h_inv(secs, dbRange, beta, smoothing, causality)
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self.irPlot.setData(1000 * t, ir)
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logIr = np.log10(1e-8 + np.abs(ir))
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@ -140,11 +140,11 @@ class App(qt.QMainWindow):
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db = int(self.dbRange.value())
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beta = int(self.kaiserBeta.value())
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smoothing = int(self.irSmoothing.value())
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minPhase = self.typeBox.currentIndex() == 1
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_, irInv = analyzer.h_inv(ms / 1000, db, beta, smoothing, minPhase)
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causality = self.causality.value()
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_, irInv = analyzer.h_inv(
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ms / 1000, db, beta, smoothing, causality / 100)
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name = (f'IR_{ms}ms_{db}dB_{beta}t_{smoothing}s'
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f'{"_minphase" if minPhase else ""}.wav')
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name = f'IR_{ms}ms_{db}dB_{beta}t_{smoothing}s_{causality}c.wav'
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filename, _ = qt.QFileDialog.getSaveFileName(
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self, 'Save inverse impulse response',
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str(self.saveDir / name), 'WAV (*.wav)')
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@ -196,7 +196,7 @@ class App(qt.QMainWindow):
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self.hi = pg.SpinBox(
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value=20000, step=100, bounds=[5, 40000], suffix='Hz')
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self.secs = pg.SpinBox(
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value=1.0, step=0.1, bounds=[0.1, 10], suffix='s')
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value=1.0, step=0.1, bounds=[0.1, 30], suffix='s')
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self.ampl = pg.SpinBox(
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value=40, step=1, bounds=[0, 100], suffix='%')
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self.spectrumSmoothing = pg.SpinBox(
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@ -271,19 +271,21 @@ class App(qt.QMainWindow):
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self.dbRange.sigValueChanging.connect(self.plot)
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self.kaiserBeta = pg.SpinBox(
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value=5, step=1, bounds=[0, 100])
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self.kaiserBeta.sigValueChanging.connect(self.plot)
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self.irSmoothing = pg.SpinBox(
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value=15, step=1, bounds=[0, 30])
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self.irSmoothing.sigValueChanging.connect(self.plot)
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self.kaiserBeta.sigValueChanging.connect(self.plot)
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causalityLabel = qt.QLabel('Causality: ')
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causalityLabel.setToolTip('0% = Zero phase, 100% = Zero lateny')
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self.causality = pg.SpinBox(
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value=0, step=5, bounds=[0, 100], suffix='%')
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self.causality.sigValueChanging.connect(self.plot)
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self.useBox = qt.QComboBox()
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self.useBox.addItems(['Stored measurements', 'Last measurement'])
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self.useBox.currentIndexChanged.connect(self.plot)
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self.typeBox = qt.QComboBox()
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self.typeBox.addItems(['Zero phase', 'Zero latency'])
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self.typeBox.currentIndexChanged.connect(self.plot)
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exportButton = qt.QPushButton('Export as WAV')
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exportButton.setShortcut('E')
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exportButton.setToolTip('<Key E>')
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@ -303,8 +305,8 @@ class App(qt.QMainWindow):
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hbox.addWidget(qt.QLabel('Smoothing: '))
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hbox.addWidget(self.irSmoothing)
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hbox.addSpacing(32)
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hbox.addWidget(qt.QLabel('Type: '))
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hbox.addWidget(self.typeBox)
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hbox.addWidget(causalityLabel)
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hbox.addWidget(self.causality)
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hbox.addSpacing(32)
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hbox.addWidget(qt.QLabel('Use: '))
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hbox.addWidget(self.useBox)
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