{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import signal\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class Process:\n", " \"\"\"Signal processing\"\"\"\n", " rate = 1\n", "\n", " \n", "class Gain(Process):\n", " \"\"\"Apply a flat gain.\"\"\"\n", " def __init__(self, g):\n", " self.gain = g\n", "\n", " def __call__(self, x):\n", " return x*self.gain\n", "\n", "\n", "class US(Process):\n", " \"\"\"Upsampler, zero stuffer.\"\"\"\n", " def __init__(self, r):\n", " self.rate = r\n", "\n", " def __call__(self, x):\n", " return np.vstack((x*self.rate, np.zeros((self.rate - 1, len(x))))).T.ravel()\n", "\n", "\n", "class DS(Process):\n", " \"\"\"Downsampler\"\"\"\n", " def __init__(self, r, prefer_mid=True):\n", " self.r = r\n", " self.rate = 1./r\n", " self.prefer_mid = prefer_mid\n", " \n", " def __call__(self, x):\n", " if self.prefer_mid:\n", " start = (len(x) - 1) // 2 % self.r\n", " else:\n", " start = 0\n", " return x[start::self.r]\n", "\n", " \n", "class FIR(Process):\n", " \"\"\"Finite impulse response filter.\"\"\"\n", " def __init__(self, b, a=1):\n", " b = np.atleast_1d(b)\n", " # b[np.fabs(b) < 3e-7] = 0\n", " self.b, self.a = b, a\n", "\n", " def __call__(self, x):\n", " return np.convolve(x, self.b)/self.a\n", "\n", " def quantize(self, m):\n", " self.b = np.round(self.b*m).astype(np.int32)\n", " self.a = np.round(self.a*m).astype(np.int32)\n", " return self\n", " \n", " def freqz(self, worN=1024):\n", " return signal.freqz(self.b, self.a, worN)\n", "\n", " def plot_freq(self, ax, color=None, r=1, f=1, inset=True, worN=1024):\n", " s, h = self.freqz(worN)\n", " s /= np.pi*f\n", " hh = np.absolute(h/r)\n", " ax.plot(s, hh, color=color)\n", " if inset:\n", " ax.plot(s, np.fabs(1 - hh), color=color)\n", "\n", " def plot_time(self, ax, color=None, r=1):\n", " ax.step(np.arange(len(self.b))/r, self.b/self.a, color=color)\n", "\n", "\n", "class LPF(FIR):\n", " \"\"\"Lowpass FIR filter with Remez/Parks-McClellan\"\"\"\n", " def __init__(self, n, wa, wb, k=(1., 1), g=(1., 0)):\n", " b = signal.remez(\n", " numtaps=n,\n", " bands=(0, wa, wb, 1.),\n", " desired=g,\n", " weight=k,\n", " fs=2,\n", " grid_density=256)\n", " FIR.__init__(self, b)\n", "\n", "\n", "class HBF(LPF):\n", " \"\"\"Half-band filter\"\"\"\n", " def __init__(self, n, w):\n", " LPF.__init__(self, 4*n - 1, w, 1 - w)\n", "\n", "\n", "class FIR2(FIR):\n", " \"\"\"Use firwin2 to construct a FIR\"\"\"\n", " def __init__(self, n, w, g):\n", " b = signal.firwin2(n, w, g)\n", " FIR.__init__(self, b)\n", "\n", "\n", "class FIRLS(FIR):\n", " \"\"\"Use firls to construct a FIR\"\"\"\n", " def __init__(self, n, w, g, weight=None):\n", " b = signal.firls(n, w, g, weight)\n", " FIR.__init__(self, b)\n", "\n", "\n", "class CIC(FIR):\n", " \"\"\"Cascaded integrator comb interpolator\"\"\"\n", " # CIC: http://www.tsdconseil.fr/log/scriptscilab/cic/cic-en.pdf\n", " # resampling: http://www.ee.ic.ac.uk/hp/staff/dmb/courses/DSPDF/01300_Resampling.pdf\n", " def __init__(self, r, m, n):\n", " # self.rate = r if r > 0 else -1/r\n", " self.rate = 1 # use a US/DS before to implement the rate change\n", " self.r = r # rate change\n", " self.m = m # delay\n", " self.n = n # filter order\n", " b = 1\n", " a = 1\n", " for i in range(n):\n", " b = np.convolve(np.ones(abs(r)*m, np.int32), b)\n", " a *= abs(r)*m\n", " FIR.__init__(self, b, a)\n", " #b = 1 #[max(r, 1)] + [0]*(max(r, 1) - 1)\n", " #b = b[::max(1, -r)]/max(1, -r)\n", "\n", " def disabled__call__(self, x): # not yet working, instead defer to FIR\n", " k = (1 << 30)/np.fabs(x).max()\n", " x = (x*k).astype(np.int64)\n", " if self.r > 0:\n", " for i in range(self.n):\n", " x = np.diff(np.r_[0, x], self.m)\n", " x = US(self.r)(x)\n", " for i in range(self.n):\n", " x = np.cumsum(x)\n", " else:\n", " for i in range(self.n):\n", " x = np.cumsum(x)\n", " x = DS(-self.r)(x)\n", " for i in range(self.n):\n", " x = np.diff(np.r_[0, x], self.m)\n", " return x/k" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 24, -85, 281, -1314, 55856, -1314, 281, -85, 24],\n", " dtype=int32),\n", " 65536)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5i+iW/GecbzV27VTo8BOvo0kE0fZKkSiWmbOHgL+IvyY+RV9bxb86PKjr18gP6IxeJIplpNTjzOSJXGJZPBoYw8A+N3sdSSKQil4kWpX4SVvxG7BP+bD9PQy84BfaIy/lUtGLRKNACbxxK6ydCxc/St8+d3qdSCKY1uhFok2gBN4cD6v/DgMeBpW8VEJFLxJNAgF4605YNQsuehD63u11IokCWroRiXBH98lntGtI2hePwOcz4MLfwIW/9jqaRAkVvUgEO7pP3u/380TSC6T5PoC+90C/+72OJlFESzciESwzZw8l/mL+nPgs1/g+YHnbn0P/CbpxiJwQndGLRLDz2tblzOS/cql9yp8CI7io//0qeTlhKnqRSFV8hJ6Zd/5nn/xF2icvJ0lFLxKJig7BayNh8xK44kn6/mis14kkiqnoRSLNd/th1gjYugwGPwPn3uB1IolyKnqRSHJwD8z8KeR/Ade8AN2Gep1IYoCKXsRjR/fJ9z39CN2WjIG922D4K9DpMq+jSYyodHulmU01s51mtqaCcTOzp80s28y+MLOex4wnmNnnZvaPUIUWiRVH98m/sWgJTV+/Cv/+HXDjPJW8hFRV9tFPA473t+5yoEPpxzjguWPGfwmsP5lwIrEuM2cPnUu+5LWkR0ikhNnnTNadoSTkKi1659xSoOA4hwwGprugTKCBmbUAMLNWwBXAlFCEFYk1F9dcz8yk/+UAtbg+8Agdup3ndSSJQaFYo28JbCvzOK/0uXzgL8C9QN3KvoiZjSP4GwFt2rQJQSyRCLd2Hh0Xj+NQo1Te6/QXHj+rs/bJS1iEoujLe5ueM7MrgZ3OuSwz61fZF3HOTQYmA6Snp7sQ5BKJTM7BJ8/Auw9C617Uvv41bqqlgpfwCUXR5wGtyzxuBXwNXAsMMrOBQE2gnpnNcM5pU7DEr0AJLHwAlk+CswbBNZMhqZbXqSTGheKiZvOBUaW7bzKAvc65fOfc/c65Vs65FGA4sEQlL3Gt6BC8PipY8hnjYejLKnmpFpWe0ZvZLKAf0MTM8oCHgSQA59wkYAEwEMgGDgE3hSusSDTKyi1k5YZsrsv+NXV2rYTL/gAZt3odS+JIpUXvnBtRybgDxldyzPvA+ycSTCQWZOUW8sCUeTzve5xECtg84DnaZxz3fymRkNP16EXCKPfzxczyTaAuhxhZ/CDvlPzI60gSh1T0IuHy+Qyu/uI29lKXoUWPsDahExmpjb1OJXFI17oRCbVACSx6CD6ZiC/1IvZm/IWfbveTkdpY++TFEyp6kVA6shdmj4XsRdDr53DpY/RISKRHR6+DSTxT0YuESkEOvDIcCjbDlf8H6Td7nUgEUNGLnJKjlxj+Sa1NdPrg9uC7Xm+cB+0u8DqayH+o6EVOUvASw58wPPAOqYkzONwghVqj/g6N23sdTeR7VPQiJ2nFl3n8nmcYkrSMxSU92dL1SW5RyUsEUtGLnIyCLdy47hZq+jbwpH8oL9gQZnRM8TqVSLlU9CIn6svFMGcstXF8eclUahR1Y4a2TkoEU9GLVFUgAB/+Gf71O2jWBa77Gx0apdLB61wilVDRixzH0V01fVom0iPrAdj4TzhnGFz1FCTX9jqeSJWo6EUqcPTG3Z1LvmRQ0l9xvgLs8ieg1ziw8u63IxKZdK0bkQpkbt7N9e6fvJ70W3wEmNNjCvT+uUpeoo7O6EXKc7iQ67c+QMPEd1lUksaD3MazPfp5nUrkpKjoRY6VlwWzx9Bw39ds6/Ugm2pezbPtm2hXjUQtFb3IUc5B5nPBK0/WbQE3L6R1q/Tj31VHJAqo6CWuHd1V8+MzoHvWg7Dpbeh0BVz9DNTSGbzEBhW9xK2ju2p6l3zO0KTnCSQcwnfZ49D7Vr3gKjFFu24kbn2W/TX3upd5OfkPfOvq8Pq50yHjNpW8xByd0Ut8+mYdo9bcTO3EDUzzX8r/2UimdsvwOpVIWKjoJb44B8ufh0UPUbtmfb68+CUOFnVjqq5VIzFMRS/xY18+zL8DshdDx8tg0EQ61Gmqa9VIzFPRS8w6uqMmo10j0vYthgW/Bv93MPBP8KOfaS1e4oaKXmLS0R019fyFdEieCvYZtOoFQybpDlASd1T0EpMyc/YwIPAx/5P8EnU4wsepv+T8Gx4GX4LX0USqnbZXSuw5VMCIrx7mmaSn2e6ack3g99S48C6VvMQtndFLbNmwAN76JY0OF7L93HtYVncY/9O+mXbUSFxT0UtsOLAT3r4X1s6DZl3hxrm0bH4Ot3udSyQCVFr0ZjYVuBLY6ZzrWs64AU8BA4FDwBjn3L/NrDUwHWgOBIDJzrmnQhle4ltWbiGZm3dzReBfpKz4HRQfgv4Pwvm/hMRkr+OJRIyqnNFPAyYSLO3yXA50KP3oDTxX+k8/cE9p6dcFssxskXNu3SmnlriXlVvIb6a8ySM2mRTfWvY3+xF1r30Wmnb0OppIxKm06J1zS80s5TiHDAamO+cckGlmDcyshXMuH8gv/Rr7zWw90BJQ0cupKfFz5IO/8JbvWfwk8GDxzbTodBvjVfIi5QrFGn1LYFuZx3mlz+UffaL0B8W5wPKKvoiZjQPGAbRp0yYEsSQm5a+C+XfSJ38l75HGQ0Vj2JPYlJntm3qdTCRihaLoy3t7ofvPoFkdYA7wK+fcvoq+iHNuMjAZID093VV0nMSpI3thye/gsxegdmMYOo0Gp13I9VsKyNB1akSOKxRFnwe0LvO4FfA1gJklESz5mc65uSH4XhJHjr7YOpBltMt6DA7uCl66oP+DUKsBaUBaSiOvY4pEvFAU/XzgDjN7leCLsHudc/mlu3FeBNY7554MwfeROJKVW8iEKXOYYC/SzreOg026c9rI1+GMc72OJhJ1qrK9chbQD2hiZnnAw0ASgHNuErCA4NbKbILbK28q/dQ+wI3AajNbWfrcA865BSHML7Go6CAsfpg3fTM4RA0eLL6ZM86+ldvP6OR1MpGoVJVdNyMqGXfww/snO+eWUf76vUj5nIN1b8C7E0jbu4257kIeLx7OvsSGzGx/utfpRKKW3hkrkSF/Fbx9H3z1cfCdrddMpi1nMTpnj15sFTlFKnrxTFZuIas2bGLQ7hdp8uXrULsRXPl/0HM0+BKCL7aq4EVOmYpePPHvnB0smfYIt9o8alLEN13H0uzKCVCrgdfRRGKOLlMs1cs5WDef9q8P4Ne+V1ge6MxlxU8wu8ltKnmRMNEZvVSf3I9h0UOQ9xnJDTow9uD9vO8/h6REHxmpjb1OJxKzVPQSFv+5X2tqY9Jq7YDFj8Cmt6FuC7jqaWr1GMntefvpqRdbRcJORS8hd/R+rY39u2ieNIeeCUux5Dow4CHofRsk1waCL7Sq4EXCT0UvIbdyYzZ3uRmMTl6I4Vh1xgh6jPzf4K4aEal2KnoJnUMF8PFfGfPpJCzhMG8G+jCRYTxxySCorTN3Ea+o6OWkfG8N/nTgk2cgcxIUHSChyxDWdryNrwsa8YTW30U8p6KXE3Z0Db6Gfz8u6R161HiXhOL9cPbV0O8+OP0sugBdvA4qIoCKXk7CFxs28is3k+uTF1PPDrO5fn/aX/soNP/BLYVFJAKo6KXqCnLgo6cZvXImLqGYtwO9mcLVTLhqODTX8oxIpFLRS7m+twafvA0++gusnQe+RHw9RrImZTS5u+syQWvwIhFPRS8/kJVbyA1TPqZP4N/0SFwIthqS68L5d0LGbVC3OV0BLdSIRAcVvXzfkX0cWjqRt+1vpCR9Q75rxCftxnPesHt1LRqRKKWij0PfW5Y5uuyyZzN8Ohk+n0nfov18bh14sngYS3y9ebnfj1XyIlFMRR9njm6NLPIHOC0xwJsDviX1q9mQ8z74kqDLEMi4lYA/lU45exitNXiRqKeijzOZOXtoWbKdYQlLuNb3IY3f3wf1W0O/ByBtNNRtDqCbfojEEBV9DCp3aebIPlj/FqM2vsz45OX4nY8lpNHu4vF0OG8Q+BK8DS0iYaOijzFll2ZqJwZ449LvODP/n7BxAfiPULdhO7an/Zp3kwbQ7azOdNBZu0jMU9HHmOWbd9KtZB1XJHzClb5MGi/eD7Uawbk3QrfroFU6Lc24yeugIlJtVPRR6AdLMyXFsHUZrJ/PLWvf4vbkXRxxSSxxaXS8+BbOzBgEiclexxYRj6joo8zRpZlE/yHWJK6jbaetNNn+HhwuhKTaJHW4mJym/Vns70Fax7acqaUZkbinoo9A5b6Y6hzs2siRD2bxoi0iPXkjNczPd1vqQJcr4KxB0L4/JNcmFRjn6QxEJJKo6CNM2RdTz0jcx/T+xaQeyILs92DvNvoAm6wV00suZZmdyy9HjaJnajOvY4tIBFPRV7Nyz9aP2r+D3ZlzeIj36JW0njN9X8MHBK8z0+4C6Hs3nHkx+/fWoShnD3emNqanlmZEpBIq+hA7XpGXPVuvl1jMq1edRmf/Rti+ArZnwbdfcSlwwFeLTwOdmRu4iKsGDeOsc38MCf//jyqtgd7MJCJVp6IPobJFnpzoY+bPMoKFfKgAvlnLoWXv8wgr6JK0lc72FYkLAsFPrN8aWqZBr3HQtg8bi1qzfuteBqQ25iwVuoicokqL3symAlcCO51zP7gyrZkZ8BQwEDgEjHHO/bt07LLSsQRginPu8RBm90SFZ+zOsXr9es4tWUNb3w7au3yavPE0+LfA/nwA+gIFvrqsd22Y4gbxk59cwZk9LoS6319jTwPS2jWtvkmJSEyryhn9NGAiML2C8cuBDqUfvYHngN5mlgA8A1wM5AGfmdl859y6Uw1dkeOuf5/qeCDAqo1f8vtXFtE0sItvEwpp2a0GzUt2BO+8VJDDmOJDjCndrl7kEvFbR0jtB6efDc26QLOubNmTxMotBWSkNtbWRxGpFpUWvXNuqZmlHOeQwcB055wDMs2sgZm1AFKAbOdcDoCZvVp6bFiKvsJlk2PGA/4ipiUW8+KIs+nWNBGKDkDRQbK3bWfe4izqBfax6l/7aduxJk1sPxzaAwd2wf6v6R7wMzuB4O8ngH9tMjRqA43aB18sbZTKJn8zMvc2oEvns0lr1+QHOdPqQlpKo3D8JxARKVco1uhbAtvKPM4rfa6853tX9EXMbByl27/btGlzwiEyc/bwd7uP2knfkWgBGr7ig2SDgB8CfroWFbHKd4QaNfzBT3j9+59/JvC/PsAHh1wNSrY1hEbNoHbjYJHXb8lX/ob8/qN95JU0YndCEyaOvfgHpd2x9ENEJFKEouitnOfccZ4vl3NuMjAZID09vcLjKpKR2pgt/2qFz/kJkMj5rZtB3dqQkAS+RL49UMybawrYX1KDI76ajOx7NinNm0JyHUg+jXUFcPsbW9nlP42SxFrMvD7jB8s3bYCfnXX85R8RkUgTiqLPA1qXedwK+BpIruD5sEhr2xDGzvhPCTc5poSbAWm9gyXdL7UxKceMn90O/tyka6Ulnta2oQpeRKJKKIp+PnBH6Rp8b2Cvcy7fzHYBHcysHbAdGA5cH4LvV6HKSvhUx0VEolFVtlfOAvoBTcwsD3gYSAJwzk0CFhDcWplNcHvlTaVjfjO7A1hI8OXLqc65tWGYg4iIHEdVdt2MqGTcAeMrGFtA8AeBiIh4xOd1ABERCS8VvYhIjFPRi4jEOBW9iEiMU9GLiMQ4C26aiSyle/BzT/LTmwC7QxgnGmjO8UFzjn2nMt+2zrlyL3sbkUV/KsxshXMu3esc1Ulzjg+ac+wL13y1dCMiEuNU9CIiMS4Wi36y1wE8oDnHB8059oVlvjG3Ri8iIt8Xi2f0IiJShopeRCTGRWXRm9llZrbRzLLN7L5yxs3Mni4d/8LMenqRM5SqMOeRpXP9wsw+NrPuXuQMpcrmXOa4H5lZiZldW535wqEqczazfma20szWmtkH1Z0x1Krwd7u+mb1lZqtK53yTFzlDycymmtlOM1tTwXhoO8w5F1UfBK9tvxlIJXgXq1XA2cccMxB4m+DtDDOA5V7nroY5nw80LP33y+NhzmWOW0LwctjXep27Gv6cGwDrgDalj0/3Onc1zPkB4A+l/94UKACSvc5+ivO+AOgJrKlgPKQdFo1n9L2AbOdcjnOuCHgVGHzMMYOB6S4oE2hgZi2qO2gIVTpn59zHzrnC0oeZBG/dGM2q8ucM8AtgDrCzOsOFSVXmfD0w1zn3FYBzLtrnXZU5O6CumRlQh2DR+6s3Zmg555YSnEdFQtph0Vj0LYFtZR7nlT53osdEkxOdz1iCZwPRrNI5m1lLYAgwqRpzhVNV/pw7Ag3N7H0zyzKzUdWWLjyqMueJwFkE7zm9Gvilcy5QPfE8E9IOC8U9Y6ublfPcsXtEq3JMNKnyfMzsIoJF/+OwJgq/qsz5L8BvnHMlwZO9qFeVOScCacAAoBbwiZllOuc2hTtcmFRlzpcCK4H+QHtgkZl96JzbF+ZsXgpph0Vj0ecBrcs8bkXwJ/2JHhNNqjQfM+sGTAEud87tqaZs4VKVOacDr5aWfBNgoJn5nXNvVEvC0Kvq3+3dzrmDwEEzWwp0B6K16Ksy55uAx11w8TrbzLYAnYFPqyeiJ0LaYdG4dPMZ0MHM2plZMjAcmH/MMfOBUaWvXGcAe51z+dUdNIQqnbOZtQHmAjdG8dldWZXO2TnXzjmX4pxLAWYDt0dxyUPV/m6/CfQ1s0Qzqw30BtZXc85QqsqcvyL4Gwxm1gzoBORUa8rqF9IOi7ozeuec38zuABYSfMV+qnNurZndWjo+ieAOjIFANnCI4BlB1KrinB8CGgPPlp7h+l0UX/WvinOOKVWZs3NuvZm9A3wBBIApzrlyt+hFgyr+OT8KTDOz1QSXNH7jnIvqSxeb2SygH9DEzPKAh4EkCE+H6RIIIiIxLhqXbkRE5ASo6EVEYpyKXkQkxqnoRURinIpeRCTGqehFRGKcil5EJMb9PyDpD2/HHE6WAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# CIC droop compensation filter\n", "\n", "# frequency nodes\n", "s = np.linspace(1e-9, .4*2*1.02, 31)\n", "\n", "rm, n, k = 5, 5, 20/1.*2\n", "# cic response\n", "h = (np.sin(np.pi*rm*s/k)/(rm*np.sin(np.pi*s/k)))**n\n", "\n", "plt.plot(s, 1/np.absolute(h), \".\")\n", "\n", "ciccomp = FIR(signal.firls(\n", " 9,\n", " np.repeat(s, 2)[1:-1],\n", " 1/np.absolute(np.repeat(h, 2)[1:-1])\n", "))\n", "# ciccomp.b /= ciccomp.b.sum()\n", "# include the final CIC gain and post-scaling here\n", "ciccomp.b *= .9995*(2.**9/5**4)\n", "ciccomp.quantize(1 << 16)\n", "FIR(Gain(5**4/2.**9)(ciccomp([1.]))).plot_freq(plt.gca(), inset=False)\n", "# ciccomp coefficients:\n", "ciccomp.b, ciccomp.a" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'time (1/f_DAC)')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Phaser interpolation filter, 20x\n", "\n", "steps = [\n", " # 1/10 samples per cycles\n", " Gain(5**4/2.**9), # compensate ciccomp+cic+shift gain\n", " # 1/10\n", " ciccomp,\n", " # 1/10\n", " US(2), HBF(10, .4).quantize(1 << 18),\n", " # 1/5\n", " US(2), HBF(5, 1/4.).quantize(1 << 18),\n", " # 2/5\n", " US(5), CIC(5, 1, 5),\n", " # 2/1\n", "]\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(25, 5))\n", "x = np.ones(1)\n", "ax[2].step(np.arange(len(x)), x)\n", "r = 1.\n", "\n", "colors = list(\"kbgrcm\")\n", "for step in steps:\n", " r *= step.rate\n", " x = step(x)\n", " # print(step, x)\n", " if hasattr(step, \"plot_freq\"):\n", " color = colors.pop(0)\n", " step.plot_freq(ax[0], r=1, color=color)\n", " q = FIR(b=x)\n", " q.plot_freq(ax[1], r=r, f=1/r, color=color, inset=True, worN=2048)\n", " q.plot_time(ax[2], r=r, color=color)\n", "\n", "ax[0].grid()\n", "ax[0].grid(which=\"minor\", alpha=.2)\n", "ax[0].set_ylim(1e-5, 2)\n", "ax[0].set_xlim(0, 1)\n", "ax[0].set_yscale(\"log\")\n", "ax[0].set_xlabel(\"frequency (filter step output nyquist)\")\n", "ax[0].set_title(\"filter step response and ripple\")\n", "ax[1].grid()\n", "ax[1].grid(which=\"minor\", alpha=.2)\n", "ax[1].set_ylim(1e-5, 2)\n", "#ax[1].set_ylim(.9, 1.1)\n", "ax[1].set_xlim(1e-2*r, r)\n", "ax[1].set_xscale(\"log\")\n", "ax[1].set_title(\"cumulative filter step response and ripple\")\n", "ax[1].set_xlabel(\"frequency (overall input nyquist)\")\n", "ax[1].set_yscale(\"log\")\n", "ax[1].plot(np.array([1e-3, .4, np.nan, .6, 1e2])*2, [1e-2, 1e-2, np.nan, 1e-7**.5, 1e-7**.5])\n", "ax[2].set_title(\"cumulative impulse response\")\n", "ax[2].set_xlabel(\"time (input samples)\")\n", "\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(25, 5))\n", "\n", "# build a shaped pulse\n", "a0 = np.ones(32)\n", "a = CIC(6, 1, 5)(a0)\n", "af = np.array([(.5, .4), (.5, -.15)])\n", "t = np.arange(len(a))\n", "y0 = sum(a*ai*np.exp(2j*np.pi*fi*t) for ai, fi in af)\n", "\n", "# pass it through the filter\n", "y = y0\n", "for step in steps:\n", " y = step(y)\n", "\n", "t0 = 10*4\n", "ax[2].plot(t*t0, a, t*t0, y0.real, np.arange(len(y))/r*t0, y.real)\n", "\n", "m = 1 << 16\n", "h = np.absolute(np.fft.fft(y, m)/r/len(a0))\n", "s = np.fft.fftfreq(m)*r/t0\n", "for i in range(2):\n", " ax[i].plot(af[:, 1]/t0, np.absolute(af[:, 0]), \"o\", s, h)\n", "\n", "ax[0].set_ylim(1e-7, 1)\n", "ax[0].set_yscale(\"log\")\n", "ax[0].set_title(\"wide band amplitude response to shaped pulse\")\n", "ax[0].set_xlabel(\"frequency (f_DAC)\")\n", "ax[0].grid()\n", "ax[0].grid(which=\"minor\", alpha=.2)\n", "\n", "ax[1].set_ylim(1e-4, 1)\n", "ax[1].set_yscale(\"log\")\n", "ax[1].set_xlim(-1/t0, 1/t0)\n", "ax[1].grid()\n", "ax[1].grid(which=\"minor\", alpha=.2);\n", "ax[1].set_title(\"amplitude response to shaped pulse\")\n", "ax[1].set_xlabel(\"frequency (f_DAC)\")\n", "\n", "ax[2].set_title(\"shaped pulse (envelope blue, data orange, response green)\")\n", "ax[2].set_xlabel(\"time (1/f_DAC)\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n", "([24, -85, 281, -1314, 55856, -1314, 281, -85, 24], 65536, 9)\n", "2\n", "([-167, 0, 428, 0, -931, 0, 1776, 0, -3115, 0, 5185, 0, -8442, 0, 14028, 0, -26142, 0, 82873, 131072, 82873, 0, -26142, 0, 14028, 0, -8442, 0, 5185, 0, -3115, 0, 1776, 0, -931, 0, 428, 0, -167], 262144, 39)\n", "2\n", "([294, 0, -1865, 0, 6869, 0, -20436, 0, 80679, 131072, 80679, 0, -20436, 0, 6869, 0, -1865, 0, 294], 262144, 19)\n", "5\n", "([1, 5, 15, 35, 70, 121, 185, 255, 320, 365, 381, 365, 320, 255, 185, 121, 70, 35, 15, 5, 1], 3125, 21)\n" ] } ], "source": [ "# individual filter step taps\n", "for step in steps:\n", " if hasattr(step, \"b\"):\n", " print((list(step.b), step.a, len(step.b))) # print taps (a/b), and number of taps\n", " else:\n", " print(step.rate) # print rate change" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "85.95" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 14 bit quantization snr\n", "1.67+6.02*14" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9993545722817482" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# overall scale\n", "FIR(x)([1.]).sum()/20." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.008681549586371858" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# passband ripple\n", "plt.ylim(-.012, .005)\n", "plt.xlim(0, (1<<16)/(2*r))\n", "plt.plot(20*np.log10(np.absolute(np.fft.rfft(x/r, 1<<16))))\n", "plt.plot(np.array([0, .4, np.nan, 0, .4])/r*(1<<16), 20*np.log10([1-1e-3, 1-1e-3, np.nan, 1, 1]))\n", "\n", "# passband flatness\n", "20*np.log10(1.001)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.25" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# group delay\n", "np.argmax(np.fabs(x))/r" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.xscale(\"log\")\n", "plt.xlabel(\"f (f_DAC)\")\n", "plt.xlim(1e-3, .5)\n", "plt.yscale(\"log\")\n", "plt.ylim(1e-5, 1.1)\n", "plt.ylabel(\"amplitude response\")\n", "plt.grid(which=\"both\")\n", "plt.title(\"Phaser interpolation filter amplitude response (blue) and ripple (orange)\")\n", "FIR(x).plot_freq(plt.gca(), r=r, f=4)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-2.04411488e-12, -1.02205744e-11, -3.06617232e-11, -7.15440207e-11,\n", " -1.43088041e-10, -2.47337900e-10, -3.78161252e-10, -5.21249294e-10,\n", " -6.54116761e-10, -7.46101930e-10, -7.65840849e-10, -6.81267334e-10,\n", " -4.59612973e-10, -6.74071216e-11, 5.29523092e-10, 1.32165932e-09,\n", " 2.25579201e-09, 3.23502038e-09, 4.11875242e-09, 4.72270494e-09,\n", " 4.90307190e-09, 4.55652448e-09, 3.62021106e-09, 2.07175719e-09,\n", " -7.07343559e-11, 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2.31674023e-06, 1.98545647e-06,\n", " 1.64649736e-06, 1.31211651e-06, 9.92114318e-07, 6.93837952e-07,\n", " 4.22181377e-07, 1.80865156e-07, -2.75635412e-08, -2.01730942e-07,\n", " -3.41436669e-07, -4.47653740e-07, -5.22009438e-07, -5.66785309e-07,\n", " -5.84917165e-07, -5.79995082e-07, -5.56263399e-07, -5.17795175e-07,\n", " -4.68492191e-07, -4.12084945e-07, -3.52132658e-07, -2.92023267e-07,\n", " -2.34462726e-07, -1.81474998e-07, -1.34402061e-07, -9.39039051e-08,\n", " -5.99585331e-08, -3.24138554e-08, -1.09876892e-08, 4.73224031e-09,\n", " 1.52883010e-08, 2.13529533e-08, 2.36176745e-08, 2.27929590e-08,\n", " 1.96083180e-08, 1.48122799e-08, 9.17238997e-09, 3.34559526e-09,\n", " -2.12175534e-09, -6.79391112e-09, -1.03457196e-08, -1.25626264e-08,\n", " -1.33658618e-08, -1.28124405e-08, -1.10951621e-08, -8.54261032e-09,\n", " -5.61915374e-09, -2.69990768e-09, -7.07343559e-11, 2.07175719e-09,\n", " 3.62021106e-09, 4.55652448e-09, 4.90307190e-09, 4.72270494e-09,\n", " 4.11875242e-09, 3.23502038e-09, 2.25579201e-09, 1.32165932e-09,\n", " 5.29523092e-10, -6.74071216e-11, -4.59612973e-10, -6.81267334e-10,\n", " -7.65840849e-10, -7.46101930e-10, -6.54116761e-10, -5.21249294e-10,\n", " -3.78161252e-10, -2.47337900e-10, -1.43088041e-10, -7.15440207e-11,\n", " -3.06617232e-11, -1.02205744e-11, -2.04411488e-12, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n", " 0.00000000e+00, 0.00000000e+00])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# overall impulse response of 20x interpolation chain (aply 20x zero stuffing to your data!)\n", "x" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 4 }