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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 in [HARRIS]"
]
},
{
"cell_type": "code",
"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",
"id": "65235f50",
"metadata": {},
"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.firfilter import filterbank_frequency_response\n",
"from rtdsp.fourier import dtft\n",
"from rtdsp.multirate import down, up, maximal_downsample_bpf\n",
"from rtdsp.plotting import plot_power_spectrum, plot_magnitude_spectrum"
]
},
{
"cell_type": "code",
"id": "c49515de",
"metadata": {},
"outputs": [],
"source": [
"# Filterbank\n",
"Ntaps = 8 # number of taps per poly phase FIR filter\n",
"Ndft = 16 # DFT size\n",
"Ncoefs = Ndft * Ntaps"
]
},
{
"cell_type": "code",
"id": "c5c90a6b",
"metadata": {},
"outputs": [],
"source": [
"# Samples\n",
"fs = 1.0 # sample rate\n",
"Ts = 1 / fs # sample period"
]
},
{
"cell_type": "code",
"id": "6d3a14bc",
"metadata": {},
"outputs": [],
"source": [
"# Subbands\n",
"Nsub = Ndft // 2 # number of subbands in fs / 2\n",
"fsub = fs / Ndft # subband frequency\n",
"Tsub = 1 / fsub # subband period"
]
},
{
"cell_type": "markdown",
"id": "15bf6804",
"metadata": {},
"source": [
"# 1 Prototype FIR low pass filter"
]
},
{
"cell_type": "code",
"id": "9aa3a1ae",
"metadata": {},
"outputs": [],
"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",
"hPrototype = signal.firwin(Ncoefs, fcutoff, window='hann', fs=fs)"
]
},
{
"cell_type": "code",
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"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",
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"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",
"id": "d76e42f5",
"metadata": {},
"outputs": [],
"source": [
"# Time\n",
"Nsim = 10 # number of subband periods to simulate\n",
"Nsamples = Nsim * Ndft\n",
"# . 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]"
]
},
{
"cell_type": "code",
"id": "48d4a3b3",
"metadata": {},
"outputs": [],
"source": [
"# Carriers\n",
"# . freq = center subband yields constant baseband I, Q signal\n",
"# . phase = 0 yields Q = 0\n",
"subbands = np.array([1.0]) # in range(Nsub)\n",
"freqs = subbands * fsub # in Hz\n",
"phases = [0.0] # in degrees\n",
"ampl = 1\n",
"xData = np.zeros(Nsamples) # = x[n]\n",
"for freq, phase in zip(freqs, phases):\n",
" xData += ampl * np.cos(2 * np.pi * freq * n_s + np.radians(phase))"
]
},
{
"cell_type": "code",
"id": "0ae28649",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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]
}
],
"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 = ampl * np.sqrt(0.5) / 10**(SNR_dB / 20)\n",
"noise = rng.normal(mu, sigma, Nsamples)\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)"
]
},
{
"cell_type": "markdown",
"id": "06e69ebc",
"metadata": {},
"source": [
"# 3 Single channel downconverter"
]
},
{
"cell_type": "code",
"id": "adc33e70",
"metadata": {},
"outputs": [],
"source": [
"# Downsample rate\n",
"Ndown = Ndft\n",
"#Ndown = Ndft // 2\n",
"\n",
"fdown = fs / Ndown # downsampled data rate\n",
"Tdown = 1 / fdown # downsampled data period \n",
"\n",
"# Time\n",
"Msamples = Nsamples // Ndown\n",
"# . 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": "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]."
]
},
{
"cell_type": "code",
"id": "9d3fb1c8",
"metadata": {},
"outputs": [],
"source": [
"# Mixer local oscillator (LO) for channel k\n",
"kLo = np.fix(np.round(subbands[0])) \n",
"w_k = 2 * np.pi * kLo / Ndft\n",
"LO = np.exp(-1j * w_k * n_s)"
]
},
{
"cell_type": "code",
"id": "50334d52",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f202f761760>"
"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": [
"# 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",
"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."
]
},
{
"cell_type": "code",
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"id": "25317d4e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ndft = 16\n",
"Ndown = 16\n",
"w_k = 0.39269908169872414\n",
"D_w_k = 6.283185307179586\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",
"if np.all(np.isclose(LOdown, loD)):\n",
" print('PASSED')\n",
"else:\n",
" print('FAILED')\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--')"
]
},
{
"cell_type": "code",
"id": "6f50284f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PASSED\n"
]
}
],
"source": [
"# Verify that LOdown == 1 when Ndown == Ndft\n",
"if Ndown == Ndft:\n",
" if np.all(np.isclose(LOdown, 1.0)):\n",
" print('PASSED')\n",
" else:\n",
" print('FAILED')\n",
"else:\n",
" plt.plot(m_sub, LOdown.real, 'r-')\n",
" plt.plot(m_sub, LOdown.imag, 'r--')"
]
},
{
"cell_type": "code",
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"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",
"if np.all(np.isclose(yDown, yBpfDownLo)):\n",
" # True for any Ndft, Ndown, because LOdown is in equation of yBpfDownLo\n",
" print('PASSED')\n",
"else:\n",
" print('FAILED')"
]
},
{
"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",
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"source": [
"### 3.3.1 Maximally downsampled (= critically sampled)"
]
},
{
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"> downsample_bpf():\n",
". len(x) = 160\n",
". Ndown = 16\n",
". Nx = 145\n",
". Nxp = 10\n",
". len(y) = 10\n",
". k = 1.0\n",
"\n",
"PASSED\n"
]
}
],
"source": [
"print('Ndft =', Ndft)\n",
"if Ndown == Ndft:\n",
" yDownBpf = maximal_downsample_bpf(xData, Ndown, kLo, hPrototype)\n",
" yDownBpfLo = yDownBpf # = yDownBpf * LOdown, because LOdown = 1 when Ndown == Ndft\n",
" if np.all(np.isclose(yDown, yDownBpfLo)):\n",
" print('PASSED')\n",
" else:\n",
" print('FAILED')\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--')"
]
},
{
"cell_type": "markdown",
"id": "73a63d82",
"metadata": {},
"source": [
"### 3.3.2 Fractionally downsampled (= oversampled)"
]
},
{
"cell_type": "code",
"execution_count": null,
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