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{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "93474f68",
   "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": "8043fa7b",
   "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": "fc530dbc",
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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",
    "from rtdsp.utilities import ceil_div, 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": "fbf4bf7b",
   "metadata": {},
   "source": [
    "# 0 Time, bins and rates"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 3,
   "id": "358b930c",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "wgSub    = 1.0\n",
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      "kLo      = 1\n",
      "\n",
      "Ros      = 4/3\n",
      ". Ndown  = 12\n",
      ". Ndft   = 16\n",
      "\n",
      "Nsim     = 24\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",
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    "wgSub = 1.0  # in range(Nsub)\n",
    "wgPhase = 30.0  # in degrees\n",
    "print('wgSub    =', wgSub)\n",
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    "\n",
    "# Additive Gaussian White Noise (AGWN), use SNR_WG_dB >= 100 to have only WG carrier,\n",
    "# so no noise and SNR = +inf\n",
    "SNR_WG_dB = 100\n",
    "\n",
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    "# Mixer LO bin\n",
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    "kLo = int(np.round(wgSub))\n",
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    "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)\n",
    "\n",
    "# Time in number of subband periods to simulate, use small Nsim for more detail in point plots,\n",
    "# use large Nsim for more accurracy in SNR estimates. Force Nsim as multiple of Ndown to avoid\n",
    "# mismatch in array lengths.\n",
    "Nsim = ceil_div(2 * Ntaps, Ndown) * Ndown\n",
    "#Nsim = ceil_div(20 * Ntaps, Ndown) * Ndown\n",
    "print()\n",
    "print('Nsim     =', Nsim)"
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   "execution_count": 4,
   "id": "e5680c7b",
   "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": "74ca764f",
   "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": "786af296",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Time\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": "8cd835d6",
   "metadata": {},
   "source": [
    "# 1 Prototype FIR low pass filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1bb76ada",
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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": "6ebc94aa",
   "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": "4d9b4324",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3abeee86",
   "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": "ce7e672e",
   "metadata": {},
   "source": [
    "# 2 Generate input data"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 10,
   "id": "e74340e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# x[n] = carrier waveform\n",
    "# . freq = center subband yields constant baseband I, Q signal\n",
    "# . phase = 0 yields Q = 0\n",
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    "wgSubIsInt = is_integer_value(wgSub)\n",
    "wgFreq = wgSub * fsub  # in Hz\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": "bd2add56",
   "outputs": [],
    "# Add AGWN when SNR_WG_dB < 100\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_WG_dB / 20)\n",
    "noise = rng.normal(mu, sigma, Nsamples)\n",
    "if SNR_WG_dB < 100:\n",
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    "    xData += noise\n",
    "    # Check SNR\n",
    "    powCarrier = np.sum(xData**2) / Nsamples\n",
    "    powNoise = np.sum(noise**2) / Nsamples\n",
    "    snrWg_db = 10 * np.log10(powCarrier / powNoise)\n",
    "    print('powCarrier = %f' % powCarrier)\n",
    "    print('powNoise = %f' % powNoise)\n",
    "    print('snrWg_db = %f dB' % snrWg_db)"
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  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7106ad3f",
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6db65c8bb0>]"
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      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "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": "c6f01b91",
   "metadata": {},
   "source": [
    "# 3 Single channel downconverter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ad89dcf",
   "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": "da53b25e",
   "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": "9acf0ec2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f6db635d3d0>"
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "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": "6433c3f4",
   "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,
   "id": "eece2793",
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   "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": "b8036250",
   "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": "0663df66",
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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": "3a039428",
   "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": "589b5e1e",
   "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": "6d43919d",
   "metadata": {},
   "source": [
    "### 3.3.1 Maximally downsampled (= critically sampled)"
   "execution_count": 19,
   "id": "327236c2",
   "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": "c154ebe1",
   "metadata": {},
   "source": [
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    "### 3.3.2 Non-maximally downsampled (= oversampled)"
   "execution_count": 20,
   "id": "aefa8615",
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "> non_maximal_downsample_bpf():\n",
      "  . len(x)   = 384\n",
      "  . Nx       = 373\n",
      "  . Nblocks  = 32\n",
      "  . len(yc)  = 32\n",
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      "  . Ndown    = 12\n",
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      "  . Ndft     = 16\n",
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      "  . k        = 1\n",
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     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6db4a4cbb0>]"
     "execution_count": 20,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "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": "06e66708",
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   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "f814c9b9",
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   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "wgSub = 1.0, SNR_WG_dB = 100.0 dB, Nsim = 24 [Tsub]\n",
      "cwPhase = 29.994, diffPhase = 0.006, phaseMargin = 0.010 [deg], snrPhase_dB = 44.9 dB\n",
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    }
   ],
   "source": [
    "print('wgSub = %.1f, SNR_WG_dB = %.1f dB, Nsim = %d [Tsub]' % (wgSub, SNR_WG_dB, Nsim))\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",
    "    if SNR_WG_dB < 100: \n",
    "        # Determine some appropriate phase margin dependent on SNR.\n",
    "        phaseMargin = 360 / 10**(SNR_WG_dB / 20)\n",
    "    else:\n",
    "        # Use fixed approriate phase margin for carrier only, so with no AWGN.\n",
    "        phaseMargin = 0.01\n",
    "    # Only check phase margin when it can be averaged over at least Ntaps number of subband periods\n",
    "    if Nsim >= 2 * Ntaps:\n",
    "        cwPhase = np.mean(np.angle(yDownBpfLo[Ntaps:], deg=True))\n",
    "        diffPhase = np.abs(wgPhase - cwPhase)\n",
    "        snrPhase_dB = pow_db(1 / diffPhase)\n",
    "        print('cwPhase = %.3f, diffPhase = %.3f, phaseMargin = %.3f [deg], snrPhase_dB = %.1f dB' %\n",
    "              (cwPhase, diffPhase, phaseMargin, snrPhase_dB))\n",
    "        result = np.isclose(wgPhase, cwPhase, atol=phaseMargin)\n",
    "        verify_result(result)\n",
    "    else:\n",
    "        print('No snrPhase_dB estimate feasible.')"
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6039030e",
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   "metadata": {},
   "outputs": [],
   "source": []
  }
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