fix: fs/D in lowpass, add missing fs attr

rhythm.py

@@ -15,6 +15,7 @@ import numpy as np
 from numpy.fft import fft
 
 from hsh_signal.signal import lowpass_fft
+import time
 
 def viterbi_highest_frequency_path_vectorized(Scp2, jump_penalty=2.0, use_log_amplitude=True):
     Scp2 = np.asarray(Scp2, dtype=float)
@@ -127,21 +128,33 @@ class BassAnalyzer:
         self.M = (self.L-self.W) // self.D + 1  #: number of time steps
         self.fs = fs
 
-    def viterbi_wavelet_scalogram_amplitudes(self):
+    def viterbi_wavelet_scalogram_amplitudes(self, dbg_time=False):
         """
         Compute scalogram amplitudes from Viterbi path of highest-power frequencies.
         NOTE: downsampled from the original 'fs'.
         :returns: (fsd, sig): sampling rate, amplitude signal
         """
+        t1 = time.time()
         Spf = self._spectrogram()
+        t2 = time.time()
         pto = self._pulse_train(Spf)
+        t3 = time.time()
         Spf2 = self._spectrogram_2()
+        t4 = time.time()
         pms = self._scalogram_params(pto)
+        t5 = time.time()
         Spsi_ss = self._scalogram_wavelets(pms)
+        t6 = time.time()
         Scp2 = self._scalogram(Spf2, Spsi_ss)
+        t7 = time.time()
         path = self._viterbi_path(Scp2)
+        t8 = time.time()
         ampl = self._viterbi_ampl(Scp2, path)
-        return ampl
+        t9 = time.time()
+        if not dbg_time:
+            return ampl
+        else:
+            return ampl, np.diff([t1, t2, t3, t4, t5, t6, t7, t8, t9])
 
     def _spectrogram(self):
         """W-FFT (STFTs) to determine scalogram parameters"""
@@ -171,7 +184,7 @@ class BassAnalyzer:
         # TODO: check if 'A' needs to be a smooth signal slowly varying over time, not a const.
         #A = np.mean(g_bar)  # amplitude cutoff for pulse train
         ip = int(fs)
-        g_bar_l = lowpass_fft(np.pad(g_bar, (ip, ip), mode='edge'), fps=fs, cf=0.5, tw=0.05)[ip:-ip]
+        g_bar_l = lowpass_fft(np.pad(g_bar, (ip, ip), mode='edge'), fps=fs/self.D, cf=0.5, tw=0.05)[ip:-ip]
         A = g_bar_l
 
         # compute transitions (pulse train)
@@ -202,6 +215,8 @@ class BassAnalyzer:
         f2 = self.f2
         Wp, Mp, Dp = self.Wp, self.Mp, self.Dp
 
+        # TODO(perf): 5.0 sec runtime
+
         #
         # compute spectrogram: 'Spf2' (M x Wp)  <-  from 'f'
         #
@@ -266,12 +281,18 @@ class BassAnalyzer:
         # T, Lp, Wp
         T, Lp, Wp = self.T, self.Lp, self.Wp
 
+        # TODO(perf): reduce num of wavelets, and/or parallelize into freq slices
+        # TODO(perf): 3.5 sec runtime
+
         # compute convolution with wavelets, by multiplication in freq-domain
         # 'Scp2' (M x I*J)
         Scp2 = np.matmul(Spf2, Spsi_ss.T) * (T/(Lp-Wp))
         return Scp2
 
     def _viterbi_path(self, Scp2):
+        # TODO(perf): parallelize into time slices
+        # TODO(perf): 4.5 sec runtime
+
         # TODO: check if we should re-weight freq-jumps, because of log-scale frequencies
         path, dp, backptr = viterbi_highest_frequency_path_vectorized(
             (np.abs(Scp2)**2).T,
@@ -313,6 +334,7 @@ class GuitarAnalyzer:
         self.D = int(self.shift_sec * fs)  #: spectrogram step
         self.L = self.f.shape[0]
         self.M = (self.L-self.W) // self.D + 1  #: number of time steps
+        self.fs = fs
 
     def spectrogram_power_amplitudes(self):
         """