├── README.md ├── SS_PA4_FourierTransform ├── tone.wav ├── sample.wav └── SS_PA4_FourierTransform.ipynb └── SS_PA3_FourierSeriesCoefficients └── sound.wav /README.md: -------------------------------------------------------------------------------- 1 | # Signals-Systems 2 | Signals and Systems course programming exercises at AUT 3 | -------------------------------------------------------------------------------- /SS_PA4_FourierTransform/tone.wav: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/aliasad059/Signals-Systems/HEAD/SS_PA4_FourierTransform/tone.wav -------------------------------------------------------------------------------- /SS_PA4_FourierTransform/sample.wav: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/aliasad059/Signals-Systems/HEAD/SS_PA4_FourierTransform/sample.wav -------------------------------------------------------------------------------- /SS_PA3_FourierSeriesCoefficients/sound.wav: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/aliasad059/Signals-Systems/HEAD/SS_PA3_FourierSeriesCoefficients/sound.wav -------------------------------------------------------------------------------- /SS_PA4_FourierTransform/SS_PA4_FourierTransform.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "markdown", 5 | "id": "8e7cd8da", 6 | "metadata": {}, 7 | "source": [ 8 | "# Which keys are pressed?\n", 9 | "- How to find what keys are pressed when we enter a phone-number on a telephone, based on the audio of the pressed keys\n", 10 | "- the answer will be provided throw this jupyter notebook\n", 11 | "- Ali Asad 9831004 @AUT" 12 | ] 13 | }, 14 | { 15 | "cell_type": "markdown", 16 | "id": "4f41eccd", 17 | "metadata": {}, 18 | "source": [ 19 | "# Importing usefull libraries" 20 | ] 21 | }, 22 | { 23 | "cell_type": "code", 24 | "execution_count": 1, 25 | "id": "0f062c26", 26 | "metadata": {}, 27 | "outputs": [], 28 | "source": [ 29 | "import numpy as np\n", 30 | "import matplotlib.pyplot as plt\n", 31 | "from scipy.io import wavfile" 32 | ] 33 | }, 34 | { 35 | "cell_type": "markdown", 36 | "id": "38b6dec5", 37 | "metadata": {}, 38 | "source": [ 39 | "# Plotting Signals" 40 | ] 41 | }, 42 | { 43 | "cell_type": "code", 44 | "execution_count": 2, 45 | "id": "de327c03", 46 | "metadata": {}, 47 | "outputs": [], 48 | "source": [ 49 | "def plot_ct_signal(t, x_t, x_label='Time [s]', y_label='Signal'):\n", 50 | " plt.grid(ls='--')\n", 51 | " plt.axhline(y=0, color='k', linewidth=1)\n", 52 | " plt.axvline(x=0, color='k', linewidth=1)\n", 53 | " plt.plot(t, x_t, c='tab:blue')\n", 54 | " plt.rcParams[\"figure.figsize\"] = (15, 10)\n", 55 | " plt.xlabel(x_label)\n", 56 | " plt.ylabel(y_label)\n", 57 | " \n", 58 | " pass" 59 | ] 60 | }, 61 | { 62 | "cell_type": "code", 63 | "execution_count": 3, 64 | "id": "1842f858", 65 | "metadata": {}, 66 | "outputs": [], 67 | "source": [ 68 | "def plot_dt_signal(n, x_n, x_label='Frequency [hz]', y_label='Fourier Series Coefficients'):\n", 69 | " plt.grid(ls='--')\n", 70 | " plt.axhline(y=0, color='k', linewidth=1)\n", 71 | " plt.axvline(x=0, color='k', linewidth=1)\n", 72 | " plt.rcParams[\"figure.figsize\"] = (15, 10)\n", 73 | " \n", 74 | " input_size = len(n)\n", 75 | " for i in range(input_size):\n", 76 | " plt.plot([n[i], n[i]], [0, x_n[i]], c='tab:blue')\n", 77 | " plt.scatter(n, x_n, c='tab:blue')\n", 78 | " plt.xlabel(x_label)\n", 79 | " plt.ylabel(y_label)\n", 80 | " \n", 81 | " pass" 82 | ] 83 | }, 84 | { 85 | "cell_type": "markdown", 86 | "id": "5a4736cf", 87 | "metadata": {}, 88 | "source": [ 89 | "# Reading audio signal from file" 90 | ] 91 | }, 92 | { 93 | "cell_type": "code", 94 | "execution_count": 4, 95 | "id": "cf84da6b", 96 | "metadata": {}, 97 | "outputs": [], 98 | "source": [ 99 | "sample_rate, data = wavfile.read('tone.wav')\n", 100 | "sample_step = 1. / sample_rate\n", 101 | "length = data.shape[0] / sample_rate" 102 | ] 103 | }, 104 | { 105 | "cell_type": "code", 106 | "execution_count": 5, 107 | "id": "4e65201e", 108 | "metadata": {}, 109 | "outputs": [], 110 | "source": [ 111 | "t = (np.arange(0, length , step=sample_step))\n", 112 | "x_t = data" 113 | ] 114 | }, 115 | { 116 | "cell_type": "code", 117 | "execution_count": 17, 118 | "id": "602cd454", 119 | "metadata": {}, 120 | "outputs": [ 121 | { 122 | "data": { 123 | "image/png": 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\n", 124 | "text/plain": [ 125 | "
" 126 | ] 127 | }, 128 | "metadata": { 129 | "needs_background": "light" 130 | }, 131 | "output_type": "display_data" 132 | } 133 | ], 134 | "source": [ 135 | "plot_ct_signal(t,x_t)" 136 | ] 137 | }, 138 | { 139 | "cell_type": "markdown", 140 | "id": "c3045579", 141 | "metadata": {}, 142 | "source": [ 143 | "## Transfering x_t into X_jw" 144 | ] 145 | }, 146 | { 147 | "cell_type": "code", 148 | "execution_count": 7, 149 | "id": "8f4a94b2", 150 | "metadata": {}, 151 | "outputs": [], 152 | "source": [ 153 | "def freq_domain_transfer(x_t, normalized=False):\n", 154 | " freq = np.fft.fftfreq(x_t.shape[-1], d=sample_step)\n", 155 | " amplitude = np.fft.fft(x_t)\n", 156 | " if normalized:\n", 157 | " amplitude_normalized = 2./len(x_t) * np.abs(amplitude)\n", 158 | " return freq, amplitude_normalized\n", 159 | " return freq, amplitude" 160 | ] 161 | }, 162 | { 163 | "cell_type": "code", 164 | "execution_count": 8, 165 | "id": "8ac7bda7", 166 | "metadata": {}, 167 | "outputs": [], 168 | "source": [ 169 | "freq, amplitude = freq_domain_transfer(x_t, normalized=True)" 170 | ] 171 | }, 172 | { 173 | "cell_type": "markdown", 174 | "id": "a4df040b", 175 | "metadata": {}, 176 | "source": [ 177 | "## Remove all X_jw that their frequencies are above 2000 and below 0" 178 | ] 179 | }, 180 | { 181 | "cell_type": "code", 182 | "execution_count": 9, 183 | "id": "62e57e76", 184 | "metadata": {}, 185 | "outputs": [], 186 | "source": [ 187 | "a = [i for i,v in enumerate(freq) if (v > 0) and (v < 2000)] # we only need frequencies between 0 to 2000\n", 188 | "freq = [freq[i] for i in a]\n", 189 | "amplitude = [amplitude[i] for i in a]" 190 | ] 191 | }, 192 | { 193 | "cell_type": "code", 194 | "execution_count": 10, 195 | "id": "80cd5ed7", 196 | "metadata": {}, 197 | "outputs": [ 198 | { 199 | "data": { 200 | "image/png": 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\n", 201 | "text/plain": [ 202 | "
" 203 | ] 204 | }, 205 | "metadata": { 206 | "needs_background": "light" 207 | }, 208 | "output_type": "display_data" 209 | } 210 | ], 211 | "source": [ 212 | "plot_ct_signal(freq,amplitude,x_label='Frequency [Hz]', y_label='Normalized Amplitude')" 213 | ] 214 | }, 215 | { 216 | "cell_type": "markdown", 217 | "id": "ef7f9a2a", 218 | "metadata": {}, 219 | "source": [ 220 | "# Ploting spectrongram of the audio signal" 221 | ] 222 | }, 223 | { 224 | "cell_type": "markdown", 225 | "id": "1761490d", 226 | "metadata": {}, 227 | "source": [ 228 | "## 1. Change signal's audio data into a 2D matrix" 229 | ] 230 | }, 231 | { 232 | "cell_type": "code", 233 | "execution_count": 11, 234 | "id": "65132942", 235 | "metadata": {}, 236 | "outputs": [], 237 | "source": [ 238 | "def get_reshaped_signal(data, window_size=2048):\n", 239 | " rows = data.shape[-1]// window_size\n", 240 | " columns = window_size\n", 241 | " data = data[:rows*columns]\n", 242 | " x_t_reshaped = data.reshape((rows,columns)).T\n", 243 | " return np.array(x_t_reshaped)" 244 | ] 245 | }, 246 | { 247 | "cell_type": "markdown", 248 | "id": "613b4211", 249 | "metadata": {}, 250 | "source": [ 251 | "## 2. Transfer 2D matrix x_t into 2D matrix X_jw" 252 | ] 253 | }, 254 | { 255 | "cell_type": "code", 256 | "execution_count": 12, 257 | "id": "7ad6c8a1", 258 | "metadata": {}, 259 | "outputs": [], 260 | "source": [ 261 | "def get_X_jw(x_t, window_size=2048):\n", 262 | " freq = np.fft.fftfreq(x_t.shape[0], d=sample_step)\n", 263 | " a = [i for i,v in enumerate(freq) if (v > 0) and (v < 2000)] # we only need frequencies between 0 to 2000\n", 264 | " X_jw = np.fft.fft(x_t, axis=0)\n", 265 | " X_jw = [X_jw[i] for i in a]\n", 266 | " X_jw = X_jw[::-1]\n", 267 | " X_jw = np.abs(X_jw)\n", 268 | " return np.array(X_jw)" 269 | ] 270 | }, 271 | { 272 | "cell_type": "markdown", 273 | "id": "4abb3c96", 274 | "metadata": {}, 275 | "source": [ 276 | "## 3. Plot the diagram" 277 | ] 278 | }, 279 | { 280 | "cell_type": "code", 281 | "execution_count": 13, 282 | "id": "2f258f29", 283 | "metadata": {}, 284 | "outputs": [], 285 | "source": [ 286 | "def plot_spectrongram(X_jw, window_size=2048):\n", 287 | " plt.xlabel('Time [s]')\n", 288 | " plt.ylabel('Frequency [Hz]')\n", 289 | " plt.rcParams[\"figure.figsize\"] = (15, 10)\n", 290 | " plt.imshow(X_jw, interpolation='nearest', aspect='auto',\n", 291 | " extent=[0, X_jw.shape[1]/sample_rate*window_size, 0, 2000]\n", 292 | " )\n", 293 | " plt.subplots_adjust(bottom=0.1, right=0.8, top=0.9)\n", 294 | " cax = plt.axes([0.85, 0.1, 0.075, 0.8])\n", 295 | " plt.colorbar(cax=cax)\n", 296 | " plt.show()" 297 | ] 298 | }, 299 | { 300 | "cell_type": "markdown", 301 | "id": "7527342b", 302 | "metadata": {}, 303 | "source": [ 304 | "### 4.1. Window's size = 1024" 305 | ] 306 | }, 307 | { 308 | "cell_type": "code", 309 | "execution_count": 14, 310 | "id": "5eaac613", 311 | "metadata": {}, 312 | "outputs": [ 313 | { 314 | "data": { 315 | "image/png": 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\n", 316 | "text/plain": [ 317 | "
" 318 | ] 319 | }, 320 | "metadata": { 321 | "needs_background": "light" 322 | }, 323 | "output_type": "display_data" 324 | } 325 | ], 326 | "source": [ 327 | "window_size = 1024\n", 328 | "x_t_reshaped = get_reshaped_signal(data, window_size=window_size)\n", 329 | "X_jw = get_X_jw(x_t_reshaped, window_size=window_size)\n", 330 | "plot_spectrongram(X_jw, window_size=window_size)" 331 | ] 332 | }, 333 | { 334 | "cell_type": "markdown", 335 | "id": "d08c81ef", 336 | "metadata": {}, 337 | "source": [ 338 | "### 4.2. Window's size = 2048" 339 | ] 340 | }, 341 | { 342 | "cell_type": "code", 343 | "execution_count": 15, 344 | "id": "4b2139ff", 345 | "metadata": {}, 346 | "outputs": [ 347 | { 348 | "data": { 349 | "image/png": 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\n", 350 | "text/plain": [ 351 | "
" 352 | ] 353 | }, 354 | "metadata": { 355 | "needs_background": "light" 356 | }, 357 | "output_type": "display_data" 358 | } 359 | ], 360 | "source": [ 361 | "window_size = 2048\n", 362 | "x_t_reshaped = get_reshaped_signal(data, window_size=window_size)\n", 363 | "X_jw = get_X_jw(x_t_reshaped, window_size=window_size)\n", 364 | "plot_spectrongram(X_jw, window_size=window_size)" 365 | ] 366 | }, 367 | { 368 | "cell_type": "markdown", 369 | "id": "27a07c8c", 370 | "metadata": {}, 371 | "source": [ 372 | "### 4.3. Window's size = 4096" 373 | ] 374 | }, 375 | { 376 | "cell_type": "code", 377 | "execution_count": 16, 378 | "id": "a2ba88b4", 379 | "metadata": {}, 380 | "outputs": [ 381 | { 382 | "data": { 383 | "image/png": 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\n", 384 | "text/plain": [ 385 | "
" 386 | ] 387 | }, 388 | "metadata": { 389 | "needs_background": "light" 390 | }, 391 | "output_type": "display_data" 392 | } 393 | ], 394 | "source": [ 395 | "window_size = 4096\n", 396 | "x_t_reshaped = get_reshaped_signal(data, window_size=window_size)\n", 397 | "X_jw = get_X_jw(x_t_reshaped, window_size=window_size)\n", 398 | "plot_spectrongram(X_jw, window_size=window_size)" 399 | ] 400 | }, 401 | { 402 | "cell_type": "markdown", 403 | "id": "70e5cf30", 404 | "metadata": {}, 405 | "source": [ 406 | "## Conclusion" 407 | ] 408 | }, 409 | { 410 | "cell_type": "markdown", 411 | "id": "4f53131f", 412 | "metadata": {}, 413 | "source": [ 414 | "### 1. Pressed keys in order from the first window to the last based on the above diagrams\n", 415 | "0, 2, 1, 6, 4, 5, 4, 2, 7, 0, 1 " 416 | ] 417 | }, 418 | { 419 | "cell_type": "markdown", 420 | "id": "09642a4e", 421 | "metadata": {}, 422 | "source": [ 423 | "### 2. What happens when we increase the size of the windows? " 424 | ] 425 | }, 426 | { 427 | "cell_type": "markdown", 428 | "id": "40e14b94", 429 | "metadata": {}, 430 | "source": [ 431 | "When we increase the size of the windows, the number of samples of the audio signal will decrease\n", 432 | "and then as the number of samples decreases, the precision of the frequencies calculated in each sample will also decrease." 433 | ] 434 | } 435 | ], 436 | "metadata": { 437 | "kernelspec": { 438 | "display_name": "Python 3 (ipykernel)", 439 | "language": "python", 440 | "name": "python3" 441 | }, 442 | "language_info": { 443 | "codemirror_mode": { 444 | "name": "ipython", 445 | "version": 3 446 | }, 447 | "file_extension": ".py", 448 | "mimetype": "text/x-python", 449 | "name": "python", 450 | "nbconvert_exporter": "python", 451 | "pygments_lexer": "ipython3", 452 | "version": "3.9.6" 453 | } 454 | }, 455 | "nbformat": 4, 456 | "nbformat_minor": 5 457 | } 458 | --------------------------------------------------------------------------------