{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "e43cf2b2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[(0.6363961030678928+0.6363961030678928j), (0.6363961030678928-0.6363961030678928j)] \n",
" [1, 1j, (-0-1j)]\n",
"[ 1. -1. 1. -1.] \n",
" [ 1. -1.27279221 0.81 ]\n"
]
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import cm\n",
"\n",
"import soundfile as sf\n",
"from scipy.signal import spectrogram, lfilter, freqz, tf2zpk\n",
"\n",
"from IPython.display import Audio\n",
"from IPython.display import display\n",
"\n",
"from ipywidgets import interactive, fixed\n",
"from myfilter import myFilter # thanks Petr Palka ! \n",
"\n",
"# for the moment, this will be obscure (desinging a filter in a way I need), see later for analysis and explanation ;) \n",
"# filter that I want ... poles in +-0.9 exp(j pi/4), zeros in 1, j and -j ... \n",
"wantedpoles = [0.9*np.exp(1j * np.pi/4), 0.9*np.exp(-1j * np.pi/4)]\n",
"wantedzeros = [1, 1j, -1j]\n",
"B = np.poly(wantedzeros)\n",
"A = np.poly(wantedpoles)\n",
"print(wantedpoles,\"\\n\",wantedzeros)\n",
"print(B,\"\\n\",A)\n",
"\n",
"def plot_spectrogram(f, t, sgr, name='', vmin=-160, ax=None):\n",
" # Transfer to PSD \n",
" sgr_log = 10 * np.log10(sgr + 1e-20) # log(0) is undefined -> +1e-20 (add small value)\n",
"\n",
" if ax == None:\n",
" fig = plt.figure(figsize=(20, 6))\n",
" ax = fig.add_subplot(111)\n",
" \n",
" name = f'[{name}]' if name else '' \n",
" ax.set_title(\"Spectogram \" + name, pad=10)\n",
" ax.set_xlabel('$t\\ [s]$')\n",
" ax.set_ylabel('$f\\ [Hz]$', rotation=0, labelpad=42)\n",
" ax.set_xlim(min(t), max(t))\n",
"\n",
" # pcolormesh of spectogram:\n",
" cmesh = ax.pcolormesh(t, f, sgr_log, shading=\"gouraud\", cmap=cm.inferno, vmin=vmin)\n",
" cbar = plt.colorbar(cmesh, ax=ax, fraction=0.046, pad=0.04)\n",
" cbar.set_label('PSD\\n$[dB]$', rotation=0, labelpad=30)\n",
" plt.tight_layout()\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "ebe059fc",
"metadata": {},
"outputs": [
{
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\n",
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