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{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c69a2eb8",
   "metadata": {},
   "source": [
    "# Multirate mixer\n",
    "\n",
    "Author: Eric Kooistra, May 2024\n",
    "\n",
    "Purpose:\n",
    "* Practise DSP [1].\n",
    "* Use multirate processing to implement a mixer \n",
    "\n",
    "References:\n",
    "1. dsp_study_erko, summary of DSP books\n",
    "2. chapter 6 downconverter, 7 upconverter, 9 filterbank in [HARRIS]"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 1,
   "id": "02689e50",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import signal\n",
    "from fractions import Fraction"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 2,
   "id": "65235f50",
   "metadata": {},
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   "outputs": [],
   "source": [
    "# Auto reload module when it is changed\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "# Add rtdsp module path to $PYTHONPATH\n",
    "import os\n",
    "import sys\n",
    "module_path = os.path.abspath(os.path.join('../'))\n",
    "if module_path not in sys.path:\n",
    "    sys.path.insert(0, module_path)\n",
    "\n",
    "# Import rtdsp\n",
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    "from rtdsp.utilities import verify_result, is_integer_value, is_symmetrical, pow_db\n",
    "from rtdsp.firfilter import filterbank_frequency_response\n",
    "from rtdsp.fourier import dtft\n",
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    "from rtdsp.multirate import down, up, maximal_downsample_bpf, non_maximal_downsample_bpf\n",
    "from rtdsp.plotting import plot_power_spectrum, plot_magnitude_spectrum"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3202666",
   "metadata": {},
   "source": [
    "# 0 Time, bins and rates"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 3,
   "id": "c49515de",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "wg_sub   = 1.0\n",
      "kLo      = 1\n",
      "\n",
      "Ros      = 4/3\n",
      ". Ndown  = 12\n",
      ". Ndft   = 16\n"
   "source": [
    "# Filterbank\n",
    "Ntaps = 8  # number of taps per poly phase FIR filter\n",
    "Ndft = 16  # DFT size\n",
    "Ncoefs = Ndft * Ntaps\n",
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    "#Ncoefs = Ncoefs - 1   # try odd length\n",
    "\n",
    "# Waveform generator\n",
    "wg_sub = 1.0  # in range(Nsub)\n",
    "print('wg_sub   =', wg_sub)\n",
    "\n",
    "# Mixer LO bin\n",
    "kLo = int(np.round(wg_sub))\n",
    "print('kLo      =', kLo)\n",
    "\n",
    "# Downsample rate\n",
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    "Ndown = Ndft * 3 // 4\n",
    "#Ndown = Ndft\n",
    "Ros = Fraction(Ndft, Ndown)\n",
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    "print()\n",
    "print('Ros      =', Ros)\n",
    "print('. Ndown  =', Ndown)\n",
    "print('. Ndft   =', Ndft)"
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   "execution_count": 4,
   "id": "c5c90a6b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Samples\n",
    "fs = 1.0  # sample rate\n",
    "Ts = 1 / fs  # sample period"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 5,
   "id": "6d3a14bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Subbands\n",
    "Nsub = Ndft // 2  # number of subbands in fs / 2\n",
    "fsub = fs / Ndft  # subband center frequency\n",
    "Tsub = 1 / fsub  # subband period\n",
    "\n",
    "fdown = fs / Ndown  # downsampled data rate\n",
    "Tdown = 1 / fdown  # downsampled data period "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d76e42f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Time\n",
    "# . number of subband periods to simulate \n",
    "Nsim = 15\n",
    "\n",
    "# . number input samples to simulate \n",
    "Nsamples = Nsim * Ndft\n",
    "# . input time index n for up rate\n",
    "n_i = np.arange(Nsamples)  # sample index, time in sample period units [Ts]\n",
    "n_s = n_i * Ts  # time in seconds\n",
    "n_sub = n_s / Ndft  # time in subband period units [Tsub]\n",
    "\n",
    "# . number of downsampled samples\n",
    "Msamples = Nsamples // Ndown\n",
    "# . downsampled time index m for down rate, n = m D, so m = n // D\n",
    "m_i = np.arange(Msamples)  # downsampled sample index\n",
    "m_s = down(n_s, Ndown)  # = m_i * Tdown, time in seconds\n",
    "m_sub = m_s / Ndft  # time in subband period units [Tsub]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15bf6804",
   "metadata": {},
   "source": [
    "# 1 Prototype FIR low pass filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "9aa3a1ae",
   "metadata": {},
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PASSED\n"
     ]
    }
   ],
   "source": [
    "# Use windowed sync (= firwin) prototype FIR filter\n",
    "# . For sinc() the ideal bandwidth is 2pi / Ndft = fs / Ndft = fsub, \n",
    "# . Use half power bandwidth factor hpFactor to tune half power cutoff frequency of LPF.\n",
    "# . Default hpFactor = 1.0 yields flat filterbank aggregate frequency response for\n",
    "#   firwin hanning filter\n",
    "hpFactor = 1.1\n",
    "hpFactor = 1.0\n",
    "BWbin = fs / Ndft  # bandwidth of one bin\n",
    "BWpass = hpFactor * BWbin\n",
    "fpass = BWpass / 2  # bin at DC: -fpass to +fpass\n",
    "fcutoff = fpass\n",
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    "hPrototype = signal.firwin(Ncoefs, fcutoff, window='hann', fs=fs)\n",
    "verify_result(is_symmetrical(hPrototype))"
   "execution_count": 8,
   "id": "0a69b385",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot impulse response\n",
    "plt.figure(1)\n",
    "plt.plot(hPrototype, 'g')\n",
    "plt.title('Impulse response')\n",
    "plt.grid(True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3542672",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0b979a1f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Filterbank aggregate frequency response\n",
    "h, f, HFprototype = dtft(hPrototype)\n",
    "HFbank = filterbank_frequency_response(HFprototype, Ndft)\n",
    "\n",
    "# Filterbank bin 1, 2 frequency responses, HFprototype is for bin 0\n",
    "Lprototype = len(HFprototype)\n",
    "Lbin = Lprototype // Ndft\n",
    "HF1 = np.roll(HFprototype, 1*Lbin)\n",
    "HF2 = np.roll(HFprototype, 2*Lbin)\n",
    "\n",
    "# Plot transfer function (use frequency in fsub units)\n",
    "fLim = None\n",
    "fLim = (0, 2)\n",
    "dbLim = None\n",
    "dbLim = (-100, 5)\n",
    "voltLim = None\n",
    "plt.figure(1)\n",
    "plot_power_spectrum(f, HFprototype, 'r--', fs / fsub, fLim, dbLim)  # bin 0\n",
    "plot_power_spectrum(f, HF1, 'b--', fs / fsub, fLim, dbLim)  # bin 1\n",
    "plot_power_spectrum(f, HF2, 'm--', fs / fsub, fLim, dbLim)  # bin 2\n",
    "plot_power_spectrum(f, HFbank, 'g', fs / fsub, fLim, dbLim)  # all bins\n",
    "plt.figure(2)\n",
    "plot_magnitude_spectrum(f, HFprototype, 'r--', fs / fsub, fLim, voltLim)  # bin 0\n",
    "plot_magnitude_spectrum(f, HF1, 'b--', fs / fsub, fLim, voltLim)  # bin 1\n",
    "plot_magnitude_spectrum(f, HF2, 'm--', fs / fsub, fLim, voltLim)  # bin 2\n",
    "plot_magnitude_spectrum(f, HFbank, 'g', fs / fsub, fLim, voltLim)  # all bins"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e130f714",
   "metadata": {},
   "source": [
    "# 2 Generate input data"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 10,
   "id": "48d4a3b3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# x[n] = carrier waveform\n",
    "# . freq = center subband yields constant baseband I, Q signal\n",
    "# . phase = 0 yields Q = 0\n",
    "wgSubIsInt = is_integer_value(wg_sub)\n",
    "wgFreq = wg_sub * fsub  # in Hz\n",
    "wgPhase = 0.0  # in degrees\n",
    "wgAmpl = 1\n",
    "xData = wgAmpl * np.cos(2 * np.pi * wgFreq * n_s + np.radians(wgPhase))"
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   "execution_count": 11,
   "id": "0ae28649",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "powCarriers = 0.500000\n",
      "powNoise = 0.000000\n",
      "SNR = 100.697035 dB\n"
     ]
    }
   ],
   "source": [
    "# Additive Gaussian White Noise (AGWN)\n",
    "SNR_dB = 100  # signal to noise ratio between one carrier and the noise\n",
    "seed = None\n",
    "seed = 1\n",
    "rng = np.random.default_rng(seed)\n",
    "mu = 0.0\n",
    "sigma = wgAmpl * np.sqrt(0.5) / 10**(SNR_dB / 20)\n",
    "noise = rng.normal(mu, sigma, Nsamples)\n",
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    "if SNR_dB < 100:\n",
    "    xData += noise\n",
    "\n",
    "# Check SNR, each extra carrie adds 3 dB\n",
    "powCarriers = np.sum(xData**2) / Nsamples\n",
    "powNoise = np.sum(noise**2) / Nsamples\n",
    "snr_db = 10 * np.log10(powCarriers / powNoise)\n",
    "print('powCarriers = %f' % powCarriers)\n",
    "print('powNoise = %f' % powNoise)\n",
    "print('SNR = %f dB' % snr_db)"
   ]
  },
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  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9a46816c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7fe272289b20>]"
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      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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Eric Kooistra committed
      "image/png": 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\n",
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      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(n_sub, xData)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06e69ebc",
   "metadata": {},
   "source": [
    "# 3 Single channel downconverter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "127b23a8",
   "metadata": {},
   "source": [
    "# 3.1 Full rate: LO --> LPF --> D\n",
    "\n",
    "Down convert bin kLo to baseband, then LPF still at sample rate and then downsample [HARRIS Fig 6.2]."
   "execution_count": 13,
   "id": "9d3fb1c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Mixer local oscillator (LO) for channel k\n",
    "w_k = 2 * np.pi * kLo / Ndft\n",
    "LO = np.exp(-1j * w_k * n_s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "50334d52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "<matplotlib.legend.Legend at 0x7fe27084fdf0>"
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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Eric Kooistra committed
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# x[n] --> LO --> LPF --> D --> y[mD, k] [HARRIS Fig 6.2] \n",
    "xLoData = xData * LO\n",
    "yData = signal.lfilter(hPrototype, [1.0], xLoData)  # = y[n, k], Eq. 6.1\n",
    "yDown = down(yData, Ndown)  # = y[mD, k]\n",
    "\n",
    "plt.plot(n_sub, yData.real, 'g-')\n",
    "plt.plot(n_sub, yData.imag, 'g--')\n",
    "plt.plot(m_sub, yDown.real, 'b.')\n",
    "plt.plot(m_sub, yDown.imag, 'b.')\n",
    "plt.title('Baseand signal for channel %d' % kLo)\n",
    "plt.xlabel('Time [Tsub]')\n",
    "plt.ylabel('yData')\n",
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    "#plt.ylim([-0.6, 0.6])\n",
    "plt.legend(['y real', 'y imag'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06436339",
   "metadata": {},
   "source": [
    "## 3.2 LO at downsampled rate: BPF --> D --> LOdown\n",
    "\n",
    "Use BPF centered at kLo (is LPF shifted by +kLo) still at sample rate, then downsample and do down conversion by from kLo to baseband at downsampled rate [HARRIS Fig 6.7].\n",
    "\n",
    "If Ndown = Ndft, then D * w_k = D * 2pi * k / Ndft is multiple of 2pi, so then LOdown = 1."
   "execution_count": 15,
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   "id": "bd3cf3b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0,  1,  2],\n",
       "       [ 3,  4,  5],\n",
       "       [ 6,  7,  8],\n",
       "       [ 9, 10, 11]])"
      ]
     },
     "execution_count": 15,
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     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.array([0,1,2,3,4,5,6,7,8,9,10,11])\n",
    "x.reshape((4,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "25317d4e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ndft = 16\n",
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      "Ndown = 12\n",
      "w_k = 0.39269908169872414\n",
      "D_w_k = 4.71238898038469\n",
      "\n",
      "PASSED\n"
     ]
    }
   ],
   "source": [
    "# LO --> D --> LOdown == loD\n",
    "#\n",
    "#  LOdown = exp(-j * D w_k * m) = loD\n",
    "#         = exp(-j * 2 pi D / Ndft * k * m)\n",
    "LOdown = down(LO, Ndown)\n",
    "\n",
    "D_w_k = Ndown * w_k\n",
    "loD = np.exp(-1j * D_w_k * m_i)\n",
    "\n",
    "print('Ndft =', Ndft)\n",
    "print('Ndown =', Ndown)\n",
    "print('w_k =', w_k)\n",
    "print('D_w_k =', D_w_k)\n",
    "print('')\n",
    "\n",
    "# Verify that LO data rotates with w_k and LO down with D * w_k rad/s\n",
    "result = np.all(np.isclose(LOdown, loD))\n",
    "if not result:\n",
    "    plt.plot(m_sub, LOdown.real, 'r-')\n",
    "    plt.plot(m_sub, LOdown.imag, 'r--')\n",
    "    plt.plot(m_sub, loD.real, 'g-')\n",
    "    plt.plot(m_sub, loD.imag, 'g--')\n",
    "verify_result(result)"
   "execution_count": 17,
   "id": "6f50284f",
   "metadata": {},
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   "outputs": [],
    "# Verify that LOdown == 1 when Ndown == Ndft\n",
    "if Ndown == Ndft:\n",
    "    result = np.all(np.isclose(LOdown, 1.0))\n",
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    "    if not result:\n",
    "        plt.plot(m_sub, LOdown.real, 'r-')\n",
    "        plt.plot(m_sub, LOdown.imag, 'r--')\n",
    "    verify_result(result)\n"
   "execution_count": 18,
   "id": "3ae19d32",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PASSED\n"
     ]
    }
   ],
   "source": [
    "# x[n] --> BPF --> D --> LOdown --> y[m D, k] [HARRIS Fig 6.7]\n",
    "hBpf = hPrototype * np.exp(1j * w_k * np.arange(Ncoefs))\n",
    "yBpfData = signal.lfilter(hBpf, [1.0], xData)\n",
    "yBpfDown = down(yBpfData, Ndown)\n",
    "yBpfDownLo = yBpfDown * LOdown  # = y[m D, k]\n",
    "\n",
    "# result is True for any Ndft, Ndown, because LOdown is in equation of yBpfDownLo\n",
    "result = np.all(np.isclose(yDown, yBpfDownLo))\n",
    "verify_result(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0642906",
   "metadata": {},
   "source": [
    "## 3.3 BPF and LO at downsampled rate: D --> poly BPF --> LOdown\n",
    "Partition the BPF FIR filter H(z) in Ndown polyphases to have Hp(z^Ndown) per polyphase branch p, so that the down sampling can be done before the BPF by using the Noble identity."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe3e5fb8",
   "metadata": {},
   "source": [
    "### 3.3.1 Maximally downsampled (= critically sampled)"
   "execution_count": 19,
   "id": "7a8f3e37",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
    "print('Ndft =', Ndft)\n",
    "if Ndown == Ndft:\n",
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    "    yMaxDownBpf = maximal_downsample_bpf(xData, Ndown, kLo, hPrototype)\n",
    "    yMaxDownBpfLo = yMaxDownBpf  # = yMaxDownBpf * LOdown, because LOdown = 1 when Ndown == Ndft\n",
    "    result = np.all(np.isclose(yDown, yMaxDownBpfLo))\n",
    "    if not result:\n",
    "        plt.plot(m_sub, yDown.real, 'g.-')\n",
    "        plt.plot(m_sub, yDown.imag, 'g.--')\n",
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    "        plt.plot(m_sub, yMaxDownBpfLo.real, 'r-')\n",
    "        plt.plot(m_sub, yMaxDownBpfLo.imag, 'r--')\n",
    "    verify_result(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73a63d82",
   "metadata": {},
   "source": [
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    "### 3.3.2 Non-maximally downsampled (= oversampled)"
   "execution_count": 20,
   "id": "6dfb2975",
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "> non_maximal_downsample_bpf():\n",
      "  . len(x)   = 240\n",
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      "  . Nx       = 229\n",
      "  . Nblocks  = 20\n",
      "  . len(yc)  = 20\n",
      "  . Ndown    = 12\n",
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      "  . Ndft     = 16\n",
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      "  . k        = 1\n",
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     ]
    },
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7fe270791580>]"
     "execution_count": 20,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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Eric Kooistra committed
      "image/png": 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\n",
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      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "yDownBpf = non_maximal_downsample_bpf(xData, Ndown, kLo, Ndft, hPrototype)\n",
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    "yDownBpfLo = yDownBpf  # = yDownBpf * LOdown * LOshift, because LOdown = 1 when Ndown == Ndft\n",
    "                       # and LOshift phase shifts compensate for time shift due to Ndown < Ndft\n",
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    "\n",
    "result = np.all(np.isclose(yDown, yDownBpfLo))\n",
    "verify_result(result)\n",
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    "\n",
    "plt.plot(m_sub, yDown.real, 'g.-')\n",
    "plt.plot(m_sub, yDown.imag, 'g.--')\n",
    "plt.plot(m_sub, yDownBpfLo.real, 'r-')\n",
    "plt.plot(m_sub, yDownBpfLo.imag, 'r--')"
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   ]
  },
  {
   "cell_type": "markdown",
   "id": "9db1a318",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
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   "execution_count": 21,
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   "id": "5d4d0d6d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "wg_sub = 1.0\n",
      "cwPhase = -0.000491 (^= -66.179518 dB)\n",
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    }
   ],
   "source": [
    "print('wg_sub =', wg_sub)\n",
    "if wgSubIsInt: \n",
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    "    # The phaseMargin >> c_atol, because it depends on the stop band attenuation of the\n",
    "    # hPrototype LPF. This is because the LO downconverts the positive frequency band\n",
    "    # of the WG cos() wave, so the negative frequency band will appear in the stop band.\n",
    "    phaseMargin = 0.005\n",
    "    cwPhase = np.angle(yDownBpfLo[-1], deg=True)\n",
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    "    print('cwPhase = %f (^= %f dB)' % (cwPhase, pow_db(cwPhase)))\n",
    "    result = np.isclose(wgPhase, cwPhase, atol=phaseMargin)\n",
    "    verify_result(result)"
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "id": "3aae0e45",
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   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}