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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, non_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": [
]
}
],
"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",
"\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": "code",
"execution_count": 12,
"id": "9a46816c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
]
},
"execution_count": 12,
"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": [
"plt.plot(n_sub, xData)"
]
},
{
"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",
"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": [
"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",
"id": "bd3cf3b3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0, 1, 2],\n",
" [ 3, 4, 5],\n",
" [ 6, 7, 8],\n",
" [ 9, 10, 11]])"
]
},
"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",
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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",
"metadata": {},
"source": [
"### 3.3.1 Maximally downsampled (= critically sampled)"
]
},
{
"cell_type": "code",
"id": "7a8f3e37",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"> Log maximal_downsample_bpf():\n",
" . len(x) = 160\n",
" . Nx = 145\n",
" . Nxp = 10\n",
" . len(yc) = 10\n",
" . Ndown = 16\n",
" . k = 1\n",
"\n",
"PASSED\n"
]
}
],
"source": [
"print('Ndft =', Ndft)\n",
"if Ndown == Ndft:\n",
" yMaxDownBpf = maximal_downsample_bpf(xData, Ndown, kLo, hPrototype)\n",
" yMaxDownBpfLo = yMaxDownBpf # = yMaxDownBpf * LOdown, because LOdown = 1 when Ndown == Ndft\n",
" if np.all(np.isclose(yDown, yMaxDownBpfLo)):\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, yMaxDownBpfLo.real, 'r-')\n",
" plt.plot(m_sub, yMaxDownBpfLo.imag, 'r--')"
]
},
{
"cell_type": "markdown",
"id": "73a63d82",
"metadata": {},
"source": [
"### 3.3.2 Non-maximally downsampled (= oversampled)"
]
},
{
"cell_type": "code",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"> non_maximal_downsample_bpf():\n",
" . len(x) = 160\n",
" . Nx = 145\n",
" . Nblocks = 10\n",
" . len(yc) = 10\n",
" . Ndown = 16\n",
" . Ndft = 16\n",
" . k = 1\n",
"\n"
]
},
{
"data": {
"text/plain": [
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
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"text/plain": [
"<Figure size 700x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Ros = 1\n",
"yDownBpf = non_maximal_downsample_bpf(xData, Ndown//Ros, kLo, Ndft, hPrototype)\n",
"yDownBpfLo = yDownBpf * LOdown\n",
"\n",
"#if np.all(np.isclose(yDown, yDownBpfLo)):\n",
"# print('PASSED')\n",
"#else:\n",
"# print('FAILED')\n",
"m_s_os = down(n_s, Ndown//Ros) # = m_i * Tdown, time in seconds\n",
"m_sub_os = m_s_os / Ndft\n",
"\n",
"plt.plot(m_sub, yDown.real, 'g.-')\n",
"plt.plot(m_sub, yDown.imag, 'g.--')\n",
"plt.plot(m_sub_os, yDownBpfLo.real, 'r-')\n",
"plt.plot(m_sub_os, yDownBpfLo.imag, 'r--')"
]
},
{
"cell_type": "markdown",
"id": "9db1a318",
"metadata": {},
"source": []
},
{
"cell_type": "code",
"execution_count": 22,
"id": "5d4d0d6d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"360 / np.angle(yDownBpfLo[8], deg=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "abd757f8",
"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
}