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Diffstat (limited to '')
| -rw-r--r-- | notebooks/FIR_mehrere.ipynb | 405 |
1 files changed, 389 insertions, 16 deletions
diff --git a/notebooks/FIR_mehrere.ipynb b/notebooks/FIR_mehrere.ipynb index 710db99..cb4a968 100644 --- a/notebooks/FIR_mehrere.ipynb +++ b/notebooks/FIR_mehrere.ipynb @@ -204,7 +204,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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09XRnqDiZJDcnz0i6/qLH10ma6mQRaTtX0+kaaVS5+3zVhciWtTj3SV5xf1vSTWa2RVJd0h2SPtrJIloX8EcOT2hqZlZ9bTpkp90f1RZivbAmiylEtqzFuW97c1KSzOy3JH1GUpekz7v7/avtn/bmJABUXadvTsrdn5L01GVVBQDoCH5zEgAiQ3ADQGQIbgCIDMENAJFJ9K6S1N/UbFrS9zMefq2kcx0sJyZVnrtU7fkz9+pqzf9n3b03yQG5BPflMLOxpG+JKZsqz12q9vyZezXnLmWbP5dKACAyBDcARKaIwb1/rQtYQ1Weu1Tt+TP36ko9/8Jd4wYArK6Ir7gBAKsguAEgMoUJ7hANiYvMzE6b2biZnTCzUn+0opl93sxeM7PvXLTtJ8zsa2b2380/r1nLGvO0wvzvM7N68/yfaH4iZ+mY2fVm9nUzO2VmL5jZ3c3tpT//q8w99bkvxDXuZkPi/9JFDYkl3dnJhsRFZ2anJQ26e+l/EcHM3i/pTUn/4u63NLf9vaTX3X1f8wf3Ne7+12tZZ15WmP99kt5090+tZW15M7N3S3q3ux83s6slHZM0LOmPVPLzv8rc/0Apz31RXnH/kqTvuvvL7j4n6cuSbm9zDCLl7s9Kev2SzbdL+mLz719UY0GX0grzrwR3P+vux5t/f0PSKTX62pb+/K8y99SKEtzLNSSuWusQl/RVMzvWbLxcNT/t7melxgKX9FNrXM9a+DMzO9m8lFK6SwWXMrPNkgYkHVXFzv8lc5dSnvuiBHeihsQlN+Tu75X0m5L+tPnfaVTHZyX9nKRflHRW0j+saTU5M7OrJD0u6RPu/qO1riekZeae+twXJbhzb0hcdO4+1fzzNUn/qsbloyp5tXkNsHUt8LU1ricod3/V3efdfUHSP6vE59/M1qsRXI+4+6Hm5kqc/+XmnuXcFyW4FxsSm9mVajQkfmKNawrGzDY2b1bIzDZK+nVJ31n9qNJ5QtLHmn//mKSvrGEtwbVCq+l3VdLzb2Ym6SFJp9z90xd9qfTnf6W5Zzn3hXhXiZS+IXGZmNmNarzKlhp9QL9U5vmb2QFJH1Dj4yxflXSvpFFJj0m6QdKkpN9391LewFth/h9Q47/KLum0pJ2ta75lYmbvk/QfksYlLTQ336PGtd5Sn/9V5n6nUp77wgQ3ACCZolwqAQAkRHADQGQIbgCIDMENAJEhuAEgMgQ3AESG4AaAyPw/4PVHgM1EzJAAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -232,7 +232,7 @@ { "data": { "text/plain": [ - "array([4, 1, 7, 5, 2, 8, 1, 0, 5, 9, 6, 1, 0, 9, 5, 5, 1, 2, 6, 5])" + "array([3, 6, 5, 2, 9, 9, 5, 9, 2, 1, 5, 8, 0, 5, 1, 6, 9, 9, 9, 8])" ] }, "execution_count": 11, @@ -274,8 +274,8 @@ { "data": { "text/plain": [ - "array([0., 0., 4., 1., 7., 5., 2., 8., 1., 0., 5., 9., 6., 1., 0., 9., 5.,\n", - " 5., 1., 2., 6., 5., 0., 0., 0.])" + "array([0., 0., 3., 6., 5., 2., 9., 9., 5., 9., 2., 1., 5., 8., 0., 5., 1.,\n", + " 6., 9., 9., 9., 8., 0., 0., 0.])" ] }, "execution_count": 13, @@ -297,7 +297,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 14, "id": "d51e107c", "metadata": {}, "outputs": [ @@ -306,7 +306,7 @@ "output_type": "stream", "text": [ "System frequencies fs=10, T=0.1\n", - "Tap with amplitude=4, delay=0.7230000000000001\n", + "Tap with amplitude=4, delay=0.7250000000000001\n", "Creating filter of order N=15.0\n" ] }, @@ -316,13 +316,13 @@ "<StemContainer object of 3 artists>" ] }, - "execution_count": 107, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -338,25 +338,25 @@ "period = 1 / samp_rate\n", "print(f\"System frequencies fs={samp_rate}, T={period}\")\n", "\n", - "delay = 7.23 * period\n", + "delay = 7.25 * period\n", "ampl = 4\n", "print(f\"Tap with amplitude={ampl}, delay={delay}\")\n", "\n", - "order = 2 * np.floor(delay / period) + 1\n", + "order = 2 * np.floor(delay / period) + 1 #N\n", "print(f\"Creating filter of order N={order}\")\n", "\n", - "skip = np.floor(delay / period) - (order - 1) / 2\n", + "skip = np.floor(delay / period) - (order - 1) / 2 #M\n", "assert skip >= 0\n", "\n", "samples = np.arange(0, order + 1) * period - delay\n", - "h = ampl*(np.sin(samp_rate * samples) / (samp_rate * samples))\n", + "h = ampl*(np.sin(samp_rate * samples) / (samp_rate * samples)) #sinc\n", "\n", "plt.stem(h)" ] }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 15, "id": "c89c83ae", "metadata": {}, "outputs": [ @@ -366,13 +366,13 @@ "<StemContainer object of 3 artists>" ] }, - "execution_count": 110, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -394,9 +394,382 @@ ] }, { + "cell_type": "markdown", + "id": "15f663c6", + "metadata": {}, + "source": [ + "# Test Delay " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "afb9e748", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "System frequencies fs=10, T=0.1\n", + "Tap with amplitude=4, delay_freq=0.7250000000000001, delay_int=7\n", + "Creating filter of order N=15.0\n", + "samples_freq[-0.725 -0.625 -0.525 -0.425 -0.325 -0.225 -0.125 -0.025 0.075 0.175\n", + " 0.275 0.375 0.475 0.575 0.675 0.775]\n", + "samples_int[0 1 2 3 4 5 6]\n", + "h_freq[ 0.45411359 -0.0212347 -0.65442628 -0.84234293 -0.13316324 1.38324124\n", + " 3.03675078 3.95846335 3.63540672 2.24911074 0.55514326 -0.60966541\n", + " -0.84150972 -0.35358545 0.26669278 0.51334131]\n", + "h_ideal[ 3.10262780e-02 2.99830750e-02 2.88692595e-02 2.76870500e-02\n", + " 2.64388245e-02 2.51271158e-02 2.37546068e-02 2.23241246e-02\n", + " 2.08386353e-02 1.93012375e-02 1.77151562e-02 1.60837364e-02\n", + " 1.44104353e-02 1.26988161e-02 1.09525398e-02 9.17535764e-03\n", + " 7.37110346e-03 5.54368515e-03 3.69707648e-03 1.83530854e-03\n", + " -3.75389411e-05 -1.91734645e-03 -3.79996360e-03 -5.68121819e-03\n", + " -7.55692534e-03 -9.42289669e-03 -1.12749496e-02 -1.31089164e-02\n", + " -1.49206538e-02 -1.67060518e-02 -1.84610433e-02 -2.01816127e-02\n", + " -2.18638056e-02 -2.35037373e-02 -2.50976019e-02 -2.66416805e-02\n", + " -2.81323506e-02 -2.95660937e-02 -3.09395037e-02 -3.22492951e-02\n", + " -3.34923102e-02 -3.46655271e-02 -3.57660666e-02 -3.67911991e-02\n", + " -3.77383512e-02 -3.86051122e-02 -3.93892397e-02 -4.00886655e-02\n", + " -4.07015008e-02 -4.12260407e-02 -4.16607694e-02 -4.20043635e-02\n", + " -4.22556964e-02 -4.24138408e-02 -4.24780722e-02 -4.24478711e-02\n", + " -4.23229246e-02 -4.21031285e-02 -4.17885880e-02 -4.13796183e-02\n", + " -4.08767448e-02 -4.02807029e-02 -3.95924372e-02 -3.88131000e-02\n", + " -3.79440498e-02 -3.69868493e-02 -3.59432624e-02 -3.48152516e-02\n", + " -3.36049739e-02 -3.23147774e-02 -3.09471966e-02 -2.95049475e-02\n", + " -2.79909227e-02 -2.64081855e-02 -2.47599639e-02 -2.30496441e-02\n", + " -2.12807638e-02 -1.94570050e-02 -1.75821866e-02 -1.56602563e-02\n", + " -1.36952827e-02 -1.16914466e-02 -9.65303250e-03 -7.58441946e-03\n", + " -5.49007187e-03 -3.37453002e-03 -1.24240037e-03 9.01654268e-04\n", + " 3.05292479e-03 5.20666595e-03 7.35810667e-03 9.50246043e-03\n", + " 1.16349357e-02 1.37507466e-02 1.58451231e-02 1.79133223e-02\n", + " 1.99506380e-02 2.19524121e-02 2.39140447e-02 2.58310043e-02\n", + " 2.76988383e-02 2.95131833e-02 3.12697744e-02 3.29644561e-02\n", + " 3.45931908e-02 3.61520691e-02 3.76373182e-02 3.90453114e-02\n", + " 4.03725766e-02 4.16158043e-02 4.27718560e-02 4.38377715e-02\n", + " 4.48107764e-02 4.56882893e-02 4.64679278e-02 4.71475148e-02\n", + " 4.77250846e-02 4.81988877e-02 4.85673958e-02 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "<StemContainer object of 3 artists>" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "samp_rate = 10\n", + "period = 1 / samp_rate\n", + "print(f\"System frequencies fs={samp_rate}, T={period}\")\n", + "\n", + "delay_freq = 7.25 * period\n", + "delay_int = int(np.floor(delay_freq/period))\n", + "ampl = 4\n", + "print(f\"Tap with amplitude={ampl}, delay_freq={delay_freq}, delay_int={delay_int}\")\n", + "\n", + "order = 2 * np.floor(delay / period) + 1 #N\n", + "print(f\"Creating filter of order N={order}\")\n", + "\n", + "skip = np.floor(delay / period) - (order - 1) / 2 #M\n", + "assert skip >= 0\n", + "\n", + "samples_freq = np.arange(0, order + 1) * period - delay_freq\n", + "print(f\"samples_freq{samples_freq}\")\n", + "\n", + "samples_int = np.arange(0,delay_int,1)\n", + "print(f\"samples_int{samples_int}\")\n", + "\n", + "h_freq = ampl*(np.sin(samp_rate * samples_freq) / (samp_rate * samples_freq)) #sinc\n", + "\n", + "#h_ideal = np.exp(-1j*delay_int*2*np.pi*samp_rate)\n", + "print(f\"h_freq{h_freq}\")\n", + "print(f\"h_ideal{h_ideal}\")\n", + "\n", + "t_freq = np.linspace(0, delay_freq + period, samp_rate)\n", + "t_int = np.linspace(0, delay_int + period, samp_rate)\n", + "\n", + "f_freq = np.sin(2 * np.pi * samp_rate * t_freq)#test Signal\n", + "f_int = np.sin(2 * np.pi * samp_rate * t_int)#test Signal\n", + "\n", + "f_shift_freq = np.convolve(h_freq , f_freq)[:len(f_freq)]#Faltung freq \n", + "f_shift_int = np.convolve(h_int , f_int)[:len(f_int)]#Faltung int \n", + "\n", + "\n", + "\n", + "#h_int = np.concatenate([np.zeros(delay_int-1), [ampl], np.zeros(3)])\n", + "#y1 = np.convolve(test.real, h_int)\n", + "plt.grid(True)\n", + "plt.stem(t_freq, f_shift_freq, linefmt=\"C0-\")\n", + "plt.stem(t_int, f_shift_int, linefmt='C1-')\n", + "plt.show()\n", + "plt.grid(True)\n", + "plt.stem(f_shift_freq, linefmt=\"C2-\", label='freq')\n", + "plt.stem(f_shift_int, linefmt='C3-', label = 'int')\n", + "#plt.legend(loc=\"upper left\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e5f23991", + "metadata": {}, + "outputs": [], + "source": [] + }, + { "cell_type": "code", "execution_count": null, - "id": "68a63dbd", + "id": "f224987a", "metadata": {}, "outputs": [], "source": [] |