{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "25f6aa9b-471c-4f60-adf6-6327fe44d64a", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "SAMPLE_RATE = 44100 # Hertz\n", "DURATION = 5 # Seconds\n", "\n", "def generate_sine_wave(freq, sample_rate, duration):\n", " x = np.linspace(0, duration, sample_rate * duration, endpoint=False)\n", " frequencies = x * freq\n", " # 2pi because np.sin takes radians\n", " y = np.sin((2 * np.pi) * frequencies)\n", " return x, y\n", "\n", "# Generate a 2 hertz sine wave that lasts for 5 seconds\n", "x, y = generate_sine_wave(2, SAMPLE_RATE, DURATION)\n", "plt.plot(x, y)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 2, "id": "7626af60-dabe-4e54-a1d5-1dc571b516bd", "metadata": {}, "outputs": [], "source": [ "_, nice_tone = generate_sine_wave(400, SAMPLE_RATE, DURATION)\n", "_, noise_tone = generate_sine_wave(4000, SAMPLE_RATE, DURATION)\n", "noise_tone = noise_tone * 0.3\n", "\n", "mixed_tone = nice_tone + noise_tone" ] }, { "cell_type": "code", "execution_count": 3, "id": "80bc3921-69a4-4c92-b335-21b0c5635d95", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "normalized_tone = np.int16((mixed_tone / mixed_tone.max()) * 32767)\n", "\n", "plt.plot(normalized_tone[:1000])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "910fc1de-ebca-4726-8904-d299e466f588", "metadata": {}, "outputs": [], "source": [ "from scipy.io.wavfile import write\n", "\n", "# Remember SAMPLE_RATE = 44100 Hz is our playback rate\n", "write(\"mysinewave.wav\", SAMPLE_RATE, normalized_tone)" ] }, { "cell_type": "code", "execution_count": 5, "id": "ab08ef6d-5709-4d81-86a8-324b1db07deb", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.fft import fft, fftfreq\n", "\n", "# Number of samples in normalized_tone\n", "N = SAMPLE_RATE * DURATION\n", "\n", "yf = fft(normalized_tone)\n", "xf = fftfreq(N, 1 / SAMPLE_RATE)\n", "\n", "plt.plot(xf, np.abs(yf))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "df58a1b7-994b-44cd-b036-b4232b262a9f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0. , 0.2, 0.4, ..., -0.6, -0.4, -0.2])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xf" ] }, { "cell_type": "code", "execution_count": 8, "id": "efcd401a-719f-4876-8ba2-2dbd9dbbffde", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.fft import rfft, rfftfreq\n", "\n", "# Note the extra 'r' at the front\n", "yf = rfft(normalized_tone)\n", "xf = rfftfreq(N, 1 / SAMPLE_RATE)\n", "\n", "plt.plot(xf, np.abs(yf))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "cedb188c-804a-4e65-bbd5-fa837a5ce3c0", "metadata": {}, "outputs": [], "source": [ "# The maximum frequency is half the sample rate\n", "points_per_freq = len(xf) / (SAMPLE_RATE / 2)\n", "\n", "# Our target frequency is 4000 Hz\n", "target_idx = int(points_per_freq * 4000)" ] }, { "cell_type": "code", "execution_count": 10, "id": "1479c856-86ce-4896-8ce4-76322ee6981f", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "yf[target_idx - 1 : target_idx + 2] = 0\n", "\n", "plt.plot(xf, np.abs(yf))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "e97bfc92-9e06-4fb4-bd33-7cc76362e853", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.fft import irfft\n", "\n", "new_sig = irfft(yf)\n", "\n", "plt.plot(new_sig[:1000])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "id": "a0ba52d9-d594-402d-97bf-b0532a85752b", "metadata": {}, "outputs": [], "source": [ " norm_new_sig = np.int16(new_sig * (32767 / new_sig.max()))\n", "\n", "write(\"clean.wav\", SAMPLE_RATE, norm_new_sig)" ] }, { "cell_type": "code", "execution_count": null, "id": "74dc8f8a-64f4-4a0d-9503-ff6555350ce1", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 5 }