{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"FMP\"\n", "\"AudioLabs\"\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"C8\"\n", "

Instantaneous Frequency Estimation

\n", "
\n", "\n", "
\n", "\n", "

\n", "Following Section 8.2.1 of [Müller, FMP, Springer 2015], we introduce in this notebook the notation of instantaneous frequency and show how it can be estimated. \n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "In many music processing tasks, the first step is to convert the audio signal into a [time–frequency representation using an STFT](../C2/C2_STFT-Basic.html), which introduces a linear frequency grid. In the following we introduce a technique referred to as **instantaneous frequency estimation**. The estimates, which are derived by looking at the STFT's phase information, allows for improving the frequency quantization introduced by the STFT. We have seen alternative approaches in the [FMP notebook on frequency grid density](../C2/C2_STFT-FreqGridDensity.html) and in the [FMP notebook on frequency interpolation](../C2/C2_STFT-FreqGridInterpol.html).\n", "\n", "We now summarize some properties of the [discrete STFT](../C2/C2_STFT-Basic.html), while fixing some notation. Let $x$ denote the given music signal sampled at a rate of $F_\\mathrm{s}$ Hertz. Furthermore, let $\\mathcal{X}$ be its STFT using a suitable window function of length $N\\in\\mathbb{N}$ and hop size $H\\in\\mathbb{N}$. Recall that, for the Fourier coefficient $\\mathcal{X}(n,k)$, the frame index $n\\in\\mathbb{Z}$ is associated to the physical time \n", "\n", "\\begin{equation}\n", " T_\\mathrm{coef}(n) := \\frac{n\\cdot H}{F_\\mathrm{s}}\n", "\\end{equation}\n", "\n", "(given in seconds) and the frequency index $k\\in[0:N/2]$ corresponds to the frequency\n", "\n", "\\begin{equation}\n", " F_\\mathrm{coef}(k) := \\frac{k\\cdot F_\\mathrm{s}}{N} \n", "\\end{equation}\n", "\n", "(given in Hertz). In particular, the discrete STFT introduces a linear sampling of the frequency axis with a resolution of $F_\\mathrm{s}/N$ Hz. This resolution may not suffice to accurately capture certain time–frequency patterns (e.\\,g., continuously changing patterns due to vibrato or glissando). Furthermore, because of the logarithmic perception of frequency, the linear sampling of the frequency axis becomes particularly problematic for the low-frequency part of the spectrum. Increasing the frequency resolution by simply increasing the window length $N$ is not a viable solution, since this process decreases the temporal resolution. In the following, we discuss a technique for obtaining an enhanced frequency estimation by exploiting the phase information encoded in the complex-valued STFT." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Instantaneous Frequency\n", "\n", "In order to explain this technique, let us start by recalling the main ideas of expressing and measuring frequency. As our prototypical oscillations, we consider complex-valued [**exponential functions**](../C2/C2_ExponentialFunction.html) of the form\n", "\n", "\\begin{equation}\n", "\\mathbf{exp}_{\\omega,\\varphi}:\\mathbb{R}\\to\\mathbb{C}, \\quad \\mathbf{exp}_\\omega(t):= \\mathrm{exp}\\big(2\\pi i(\\omega t - \\varphi)\\big)\n", "\\end{equation}\n", "\n", "for a frequency parameter $\\omega\\in\\mathbb{R}$ (measured in $\\mathrm{Hz}$) and a phase parameter $\\varphi$ (measured in normalized radians with $1$ corresponding to an angle of $360^\\circ$). In the case $\\varphi=0$, we set\n", "\n", "$$\n", "\\mathbf{exp}_{\\omega} := \\mathbf{exp}_{\\omega,0}.\n", "$$\n", "\n", "Uniformly increasing the time parameter $t$, the exponential function describes a **circular motion** around the unit circle. When projected onto the real and imaginary axes, this yields two **sinusoidal motions** (described by a cosine and a sine function). Thinking of the circular motion as a uniformly rotating wheel, the frequency parameter $\\omega$ corresponds to the number of revolutions per unit time (in our case, the duration of one second). In other words, the frequency can be interpreted as the rate of rotation. Based on this interpretation, one can associate a frequency value with a rotating wheel for arbitrary time intervals $[t_1,t_2]$ with $t_1\n", "\n", "The frequency is then defined as the change $\\varphi_2-\\varphi_1$ in angular position\n", "divided by the length $t_2-t_1$ of the time interval. In the limit case, when the time interval becomes arbitrarily small, one obtains the **instantaneous frequency** $\\omega_{t_1}$ given by\n", "\n", "\\begin{equation}\n", " \\omega_{t_1}:=\\lim_{t_2\\to t_1}\\frac{\\varphi_2-\\varphi_1}{t_2-t_1}.\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Phase Prediction Error\n", "\n", "For the moment, let us assume a time-continuous perspective, fixing a frequency value $\\omega\\in\\mathbb{R}$ and two time instances, say $t_1\\in\\mathbb{R}$ and $t_2\\in\\mathbb{R}$. Later, we will choose specific values that are related to the STFT parameters. Correlating the signal $x$ with a windowed version of the analysis function $\\mathbf{exp}_\\omega$, one positioned at $t_1$ and one at $t_2$, we obtain two complex Fourier coefficients. Let $\\varphi_1$ and $\\varphi_2$ be the phases of these two coefficients, respectively. In the case that the signal $x$ contains a strong frequency component of frequency $\\omega$, the two phases $\\varphi_1$ and $\\varphi_2$ should be consistent in the following way: A rotation of frequency $\\omega$ that assumes the angular position $\\varphi_1$ at time position $t_1$ should have the phase\n", "\n", "\\begin{equation}\n", " \\varphi^\\mathrm{Pred}:=\\varphi_1 + \\omega\\cdot \\Delta t\n", "\\end{equation}\n", "\n", "at time $t_2$, where $\\Delta t:=t_2-t_1$. Therefore, in the case that the signal $x$ behaves similarly to the function $\\mathbf{exp}_\\omega$, one should have $\\varphi_2\\approx\\varphi^\\mathrm{Pred}$. In the case that the signal $x$ oscillates slightly slower than $\\mathbf{exp}_\\omega$, the phase increment from time instance $t_1$ to instance $t_2$ for the signal $x$ is less than the one for the prototype oscillation $\\mathbf{exp}_\\omega$. As a result, the phase $\\varphi_2$ measured at $t_2$ is less than the predicted phase $\\varphi^\\mathrm{Pred}$. In the third case that $x$ oscillates slightly faster than $\\mathbf{exp}_\\omega$, the phase $\\varphi_2$ is larger than the predicted phase $\\varphi^\\mathrm{Pred}$. The three cases are illustrated by the following figure:\n", "\n", "\"FMP_C8_F13\"\n", "\n", "To measure the difference between $\\varphi_2$ and $\\varphi^\\mathrm{Pred}$, we introduce the **prediction error** defined by\n", "\n", "\\begin{equation}\n", " \\varphi^\\mathrm{Err}:=\\Psi(\\varphi_2-\\varphi^\\mathrm{Pred}). \n", "\\end{equation}\n", "\n", "In this definition, $\\Psi:\\mathbb{R}\\to\\left[-0.5,0.5\\right]$ is the [**principal argument function**](../C6/C6S1_NoveltyPhase.html), which maps phase differences into the range $[-0.5,0.5]$ by adding or subtracting a suitable integer value, thus avoiding discontinuities when computing phase differences. The prediction error can be used to correct the frequency value $\\omega$ to obtain a refined frequency estimate $\\mathrm{IF}(\\omega)$ for the signal $x$:\n", "\n", "\\begin{equation}\n", "\\label{eq:AudioDeco:Mel:IFE:freqEstCor}\n", " \\mathrm{IF}(\\omega) := \\omega + \\frac{\\varphi^\\mathrm{Err}}{\\Delta t}.\n", "\\end{equation}\n", "\n", "This value (being a bit sloppy in word use) is also called the **instantaneous frequency** (IF), which can be thought of an adjustment of the initial frequency $\\omega$. Strictly speaking, rather than referring to a single time instance, the instantaneous frequency refers—in this case—to an entire time interval $[t_1,t_2]$. In practice, however, this interval is typically chosen to be very small (on the order of a couple of milliseconds)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Improving the STFT Frequency Resolution\n", "\n", "We now apply the concept of instantaneous frequency for improving the frequency resolution of a discrete STFT. Using the [polar coordinate representation](../C2/C2_ComplexNumbers.html), a Fourier coefficient $\\mathcal{X}(n,k)\\in\\mathbb{C}$ can be written as\n", "\n", "\\begin{equation}\n", " \\mathcal{X}(n,k)= |\\mathcal{X}(n,k)|\\mathrm{exp}(2\\pi i\\varphi(n,k))\n", "\\end{equation}\n", "\n", "with the phase $\\varphi(n,k)\\in[0,1)$. For the prototype oscillation, we use the frequency determined by the frequency parameter $k\\in[0:N/2]$: \n", "\n", "\\begin{equation}\n", " \\omega = F_\\mathrm{coef}(k) = \\frac{k\\cdot F_\\mathrm{s}}{N}.\n", "\\end{equation}\n", "\n", "Furthermore, the two time instances are determined by the positions of the previous frame and the current frame:\n", "\n", "\\begin{equation}\n", " t_1=T_\\mathrm{coef}(n-1)=\\frac{(n-1)\\cdot H}{F_\\mathrm{s}} \\quad\\mbox{and}\\quad\n", " t_2=T_\\mathrm{coef}(n)=\\frac{n\\cdot H}{F_\\mathrm{s}}.\n", "\\end{equation} \n", "\n", "Finally, the measured phases at these time instances are the ones obtained by the STFT:\n", "\n", "\\begin{equation}\n", " \\varphi_1=\\varphi(n-1,k) \\quad\\mbox{and}\\quad\n", " \\varphi_2=\\varphi(n,k).\n", "\\end{equation} \n", "\n", "From this, using the above equations and doing some rearrangements, we obtain the instantaneous frequency \n", "\n", "\\begin{equation}\n", " F_\\mathrm{coef}^\\mathrm{IF}(k,n):=\\mathrm{IF}(\\omega) = \\left( k + \\kappa(k,n) \\right)\\cdot\\frac{F_\\mathrm{s}}{N}\n", "\\end{equation}\n", "\n", "where the **bin offset** $\\kappa(k,n)$ is calculated as\n", "\n", "\\begin{equation}\n", " \\kappa(k,n) = \\frac{N}{H}\\cdot\\Psi\\left(\\varphi(n,k)-\\varphi(n-1,k) - \\frac{k\\cdot H}{N}\\right).\n", "\\end{equation} " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation\n", "\n", "In the next code cell, we provide an implementation for the above procedure that estimate the instantaneous frequency (IF) for all time-frequency bins of a given STFT.\n", "\n", "* The input of the procedure consists of the sampling rate `Fs`, the window length `N`, the hops size `H`, and a complex-valued STFT matrix `X` of dimension `K` (number of frequency bins) and `L` (number of frames).\n", "\n", "* The output is a real-valued matrix `F_coef_IF` that contains the estimates of the IFs for each time-frequency bin. We apply padding so that `F_coef_IF` is also a (`K` $\\times$ `L`)-matrix\n", "\n", "* In the implementation, the IF is computed simultaneously for all time-frequency bins using matrix operations." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:43:22.110130Z", "iopub.status.busy": "2024-02-15T08:43:22.109839Z", "iopub.status.idle": "2024-02-15T08:43:24.426620Z", "shell.execute_reply": "2024-02-15T08:43:24.425946Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import os, sys, librosa\n", "from scipy import signal\n", "from matplotlib import pyplot as plt\n", "import IPython.display as ipd\n", "from numba import jit\n", "\n", "sys.path.append('..')\n", "import libfmp.b\n", "\n", "%matplotlib inline\n", "\n", "@jit(nopython=True)\n", "def principal_argument(v):\n", " \"\"\"Principal argument function\n", "\n", " | Notebook: C6/C6S1_NoveltyPhase.ipynb, see also\n", " | Notebook: C8/C8S2_InstantFreqEstimation.ipynb\n", "\n", " Args:\n", " v (float or np.ndarray): Value (or vector of values)\n", "\n", " Returns:\n", " w (float or np.ndarray): Principle value of v\n", " \"\"\"\n", " w = np.mod(v + 0.5, 1) - 0.5\n", " return w\n", "\n", "@jit(nopython=True)\n", "def compute_if(X, Fs, N, H):\n", " \"\"\"Instantenous frequency (IF) estamation\n", "\n", " | Notebook: C8/C8S2_InstantFreqEstimation.ipynb, see also\n", " | Notebook: C6/C6S1_NoveltyPhase.ipynb\n", "\n", " Args:\n", " X (np.ndarray): STFT\n", " Fs (scalar): Sampling rate\n", " N (int): Window size in samples\n", " H (int): Hop size in samples\n", "\n", " Returns:\n", " F_coef_IF (np.ndarray): Matrix of IF values\n", " \"\"\"\n", " phi_1 = np.angle(X[:, 0:-1]) / (2 * np.pi)\n", " phi_2 = np.angle(X[:, 1:]) / (2 * np.pi)\n", "\n", " K = X.shape[0]\n", " index_k = np.arange(0, K).reshape(-1, 1)\n", " # Bin offset (FMP, Eq. (8.45))\n", " kappa = (N / H) * principal_argument(phi_2 - phi_1 - index_k * H / N)\n", " # Instantaneous frequencies (FMP, Eq. (8.44))\n", " F_coef_IF = (index_k + kappa) * Fs / N\n", "\n", " # Extend F_coef_IF by copying first column to match dimensions of X\n", " F_coef_IF = np.hstack((np.copy(F_coef_IF[:, 0]).reshape(-1, 1), F_coef_IF))\n", "\n", " return F_coef_IF" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualization of IF Values\n", "\n", "We now introduce a visualization that provides some deeper insights into the IF estimation procedure. As example, we consider a recording or a single note $\\mathrm{C4}$ played on a piano. This note corresponds to MIDI pitch $p=60$ having a [center frequency](../C1/C1S3_FrequencyPitch.html) of $261.6~\\mathrm{Hz}$. The following figure shows the waveform and a spectrogram representation of the audio signal. \n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:43:24.429784Z", "iopub.status.busy": "2024-02-15T08:43:24.429508Z", "iopub.status.idle": "2024-02-15T08:43:25.213646Z", "shell.execute_reply": "2024-02-15T08:43:25.213056Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fn_wav = os.path.join('..', 'data', 'C8', 'FMP_C8_NoteC4_Piano.wav')\n", "x, Fs = librosa.load(fn_wav)\n", "\n", "N = 2048\n", "H = 64\n", "X = librosa.stft(x, n_fft=N, hop_length=H, win_length=N, window='hann')\n", "Y = np.log(1+ 10*np.abs(X))\n", "K = X.shape[0]\n", "L = X.shape[1]\n", "ylim = [0,1500]\n", "\n", "fig, ax = plt.subplots(2, 2, gridspec_kw={'width_ratios': [1, 0.05], \n", " 'height_ratios': [1, 2]}, figsize=(5, 4)) \n", "\n", "libfmp.b.plot_signal(x, Fs, ax=ax[0,0])\n", "ax[0,1].set_axis_off()\n", "libfmp.b.plot_matrix(Y, Fs=Fs/H, Fs_F=N/Fs, ax=[ax[1,0],ax[1,1]], colorbar=True)\n", "ax[1,0].set_ylim(ylim)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output of the IF estimation is a frequency value $F_\\mathrm{coef}^\\mathrm{IF}(k,n)\\in\\mathbb{R}$ (given in Hertz) for $k\\in[0:K-1]$ and $n\\in[0:L-1]$. This value is a refinement of the (frame-independent) frequency value $F_\\mathrm{coef}(k)$ that is associated to the $k^\\mathrm{th}$ Fourier coefficient of the STFT. In the following figure, we show the $(K\\times N)$-matrices given by $F_\\mathrm{coef}$ and by $F_\\mathrm{coef}^\\mathrm{IF}$ in a color-coded form. Furthermore, we also visualize the difference\n", "\n", "$$F_\\mathrm{coef}^\\mathrm{IF}-F_\\mathrm{coef} = \\kappa \\cdot\\frac{N}{F_\\mathrm{s}},$$\n", "\n", "which is the bin offset specified in Hertz. Note that opposed to visualizing a spectrogram (were the magnitudes are color-coded), this time we **visualize frequency values** (given in Hertz)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:43:25.247869Z", "iopub.status.busy": "2024-02-15T08:43:25.247627Z", "iopub.status.idle": "2024-02-15T08:43:27.743023Z", "shell.execute_reply": "2024-02-15T08:43:27.742480Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_IF(F_coef_X, F_coef_IF, ylim, figsize=(10,3)):\n", " plt.figure(figsize=figsize)\n", " ax = plt.subplot(1,3,1)\n", " libfmp.b.plot_matrix(F_coef_X, Fs=Fs/H, Fs_F=N/Fs, cmap='PuOr', clim=ylim, ax=[ax],\n", " title=r'$F_\\mathrm{coef}$')\n", " plt.ylim(ylim)\n", " ax = plt.subplot(1,3,2)\n", " libfmp.b.plot_matrix(F_coef_IF, Fs=Fs/H, Fs_F=N/Fs, cmap='PuOr', clim=ylim, ax=[ax],\n", " title=r'$F_\\mathrm{coef}^\\mathrm{IF}$')\n", " plt.ylim(ylim)\n", " ax = plt.subplot(1,3,3)\n", " libfmp.b.plot_matrix(F_coef_IF-F_coef_X, Fs=Fs/H, Fs_F=N/Fs, cmap='seismic', ax=[ax],\n", " title=r'$F_\\mathrm{coef}^\\mathrm{IF}-F_\\mathrm{coef}$')\n", " plt.ylim(ylim)\n", " plt.tight_layout()\n", " \n", "F_coef_IF = compute_if(X, Fs, N, H)\n", "F_coef = np.arange(K) * Fs / N\n", "F_coef_X = np.ones((K,L)) * F_coef.reshape(-1,1)\n", "plot_IF(F_coef_X, F_coef_IF, ylim) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this visualization, the matrices $F_\\mathrm{coef}$ and $F_\\mathrm{coef}^\\mathrm{IF}$ look quite similar. However, in the visualization of the difference one can clearly see the adjustment of frequency values in regions along the fundamental frequency of the note $\\mathrm{C4}$ ($261.6~\\mathrm{Hz}$) and its harmonics. Frequency values just below a harmonic are adjusted upwards (red color) and frequency values just above a harmonic are corrected downwards (blue color). In the next figure, we zoom into a neighborhood of the fundamental frequency $261.6~\\mathrm{Hz}$, while adjusting the color coding for frequency values. This visualization indicates that the IF estimation procedure assigns all frequency coefficients in a neighborhood of $261.6~\\mathrm{Hz}$ to exactly that frequency. We will show in the [FMP notebook on salience representations](../C8/C8S2_SalienceRepresentation.html) how this reassignment procedure can be used to overcome the limitations of the linear frequencies grid introduced by the discrete STFT." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:43:27.746228Z", "iopub.status.busy": "2024-02-15T08:43:27.746053Z", "iopub.status.idle": "2024-02-15T08:43:28.390394Z", "shell.execute_reply": "2024-02-15T08:43:28.389716Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Compute a neighborhood around center frequency of C4 (p=60)\n", "pitch = 60\n", "freq_fund = 2 ** ((pitch - 69) / 12) * 440\n", "freq_0 = freq_fund-150\n", "freq_1 = freq_fund+150\n", "ylim = [freq_0, freq_1]\n", "\n", "plot_IF(F_coef_X, F_coef_IF, ylim) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dependency on Hop Size\n", "\n", "Note that the quality of the estimated instantaneous frequency depends, among other parameters, on the length \n", "\n", "$$\n", "\\Delta t=t_2-t_1 = T_\\mathrm{coef}(n) - T_\\mathrm{coef}(n-1) = H/F_\\mathrm{s}\n", "$$ \n", "\n", "between two subsequent frames. Therefore, when applied to the discrete STFT, it is beneficial to use a **small hop size** $H$. This is illustrated by the next figures. On the downside, using a small hop size increases the computational cost for calculating the discrete STFT. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:43:28.393275Z", "iopub.status.busy": "2024-02-15T08:43:28.393063Z", "iopub.status.idle": "2024-02-15T08:43:30.007606Z", "shell.execute_reply": "2024-02-15T08:43:30.006867Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Instanteneous frequency estimation using N=2048 and H=64\n", "Runtime (STFT): 0.02593803 seconds\n", "Runtime (IF): 0.08570385 seconds\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Instanteneous frequency estimation using N=2048 and H=256\n", "Runtime (STFT): 0.01310396 seconds\n", "Runtime (IF): 0.02418208 seconds\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Instanteneous frequency estimation using N=2048 and H=1024\n", "Runtime (STFT): 0.00340986 seconds\n", "Runtime (IF): 0.00579691 seconds\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import time\n", "\n", "def compute_plot_IF(x, N, H):\n", " \n", " # Compute STFT\n", " start = time.time()\n", " X = librosa.stft(x, n_fft=N, hop_length=H, win_length=N, window='hann')\n", " Y = np.log(1+ 10*np.abs(X))\n", " end = time.time()\n", " print('Runtime (STFT): %.8f seconds' % (end - start)) \n", " K = X.shape[0]\n", " L = X.shape[1]\n", " \n", " # Compute IF\n", " start = time.time()\n", " F_coef_IF = compute_if(X, Fs, N, H)\n", " end = time.time()\n", " print('Runtime (IF): %.8f seconds' % (end - start)) \n", " \n", " # Plot\n", " F_coef = np.arange(K) * Fs / N\n", " F_coef_X = np.ones((K,L)) * F_coef.reshape(-1,1)\n", " plot_IF(F_coef_X, F_coef_IF, ylim) \n", " plt.show()\n", " \n", "N, H = 2048, 64\n", "print('Instanteneous frequency estimation using N=%d and H=%d'%(N,H))\n", "compute_plot_IF(x, N, H)\n", "\n", "N, H = 2048, 256\n", "print('Instanteneous frequency estimation using N=%d and H=%d'%(N,H))\n", "compute_plot_IF(x, N, H)\n", "\n", "N, H = 2048, 1024\n", "print('Instanteneous frequency estimation using N=%d and H=%d'%(N,H))\n", "compute_plot_IF(x, N, H)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller and Sebastian Rosenzweig.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "
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" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 1 }