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@mohamed
Created June 20, 2023 12:39
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IQ Up and Down Conversion
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{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"The system cannot find the path specified.\n"
]
},
{
"ename": "ModuleNotFoundError",
"evalue": "No module named 'commpy'",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[1;32mIn[4], line 13\u001b[0m\n\u001b[0;32m 9\u001b[0m get_ipython()\u001b[39m.\u001b[39mrun_line_magic(\u001b[39m'\u001b[39m\u001b[39mmatplotlib\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39minline\u001b[39m\u001b[39m'\u001b[39m)\n\u001b[0;32m 11\u001b[0m get_ipython()\u001b[39m.\u001b[39msystem(\u001b[39m'\u001b[39m\u001b[39mpip install git+https://github.com/veeresht/CommPy.git > /dev/null\u001b[39m\u001b[39m'\u001b[39m)\n\u001b[1;32m---> 13\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mcommpy\u001b[39;00m\n\u001b[0;32m 14\u001b[0m matplotlib\u001b[39m.\u001b[39mrcParams[\u001b[39m'\u001b[39m\u001b[39maxes.ymargin\u001b[39m\u001b[39m'\u001b[39m] \u001b[39m=\u001b[39m \u001b[39m0.1\u001b[39m\n\u001b[0;32m 15\u001b[0m matplotlib\u001b[39m.\u001b[39mrcParams[\u001b[39m'\u001b[39m\u001b[39maxes.xmargin\u001b[39m\u001b[39m'\u001b[39m] \u001b[39m=\u001b[39m \u001b[39m0.0\u001b[39m\n",
"\u001b[1;31mModuleNotFoundError\u001b[0m: No module named 'commpy'"
]
}
],
"source": [
"import numpy as np\n",
"import scipy\n",
"import scipy.signal\n",
"\n",
"!pip install git+https://github.com/mkrphys/ipython-tikzmagic.git\n",
"\n",
"%load_ext tikzmagic\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"%matplotlib inline\n",
"\n",
"!pip install git+https://github.com/veeresht/CommPy.git > /dev/null\n",
"\n",
"import commpy\n",
"matplotlib.rcParams['axes.ymargin'] = 0.1\n",
"matplotlib.rcParams['axes.xmargin'] = 0.0"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Baseband signal upconversion and IQ Modulation and Demodulation\n",
"\n",
"In this article, we will go through the basic steps of the up- and downconversion of a baseband signal to the passband signal. In most digital signal processing devices, any signal processing is performed in the baseband, i.e. where the signals are centered around the DC frequency. These baseband signals are mainly complex-valued. However, only real-valued signals can be sent with real-world physical devices. The process of upconversion thus has two purposes:\n",
"\n",
"1. Convert the complex-valued baseband signal to a real-valued signal which can be transmitted over an antenna, cable or similar.\n",
"2. Adapt the transmit signal such that it uses a specific frequency band of the physical channel. This way, multiple signals can be transmitted independently on different frequency bands.\n",
"\n",
"At the receiver, the received signal is then downconverted to baseband such that the subsequent processing can be done in complex-valued baseband domain.\n",
"\n",
"A generic digital transceiver system with digital baseband processing, analog to digital conversion and up- and downconversion is presented in the figure below:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%tikz -l positioning --size 800,600\n",
"\n",
"\\tikzset{mul/.style={draw,circle,inner sep=1pt}}\n",
"\\tikzset{>=latex}\n",
"\n",
"\\begin{scope}[xshift=1cm]\n",
"\\draw [double,->] (0,0) node [left] (d) {$d[k]$} -- +(1,0) node [right,mul] (M1) {$\\times$};\n",
"\\draw [double,->] (M1.east) -- +(1,0) node (g1) [draw,right] {$g(t)$} node [midway,above] {$x(t)$};\n",
"\\draw [double,->] (g1.east) -- +(1,0) node (R1) [draw,right,align=center, minimum height=1.5cm] {Re\\\\Im} node [midway,above] {$u(t)$};\n",
"\n",
"\\node (P) [mul,right=3 of R1] {$+$};\n",
"\\draw [->] (R1.55) -- +(1,0) node (MC1) [right,mul] {$\\times$} node [midway,above] {$i(t)$};\n",
"\\draw [->] (R1.-55) -- +(1,0) node (MS1) [right,mul] {$\\times$} node [midway,above] {$q(t)$};\n",
"\\draw [->] (MC1.east) -| (P) node [pos=0.25,above] {$i_{up}(t)$};\n",
"\\draw [->] (MS1.east) -| (P) node [pos=0.25,above] {$q_{up}(t)$};\n",
"\\draw [->] (P.east) -- +(1,0) node [right] {$s(t)$};\n",
"\\draw [->] ([yshift=-0.7cm]M1.south) node [below] {$\\sum_n\\delta(t-nT)$} -- (M1.south);\n",
"\\draw [->] ([yshift=0.4cm]MC1.north) node [above] {$\\cos(2\\pi f_c t)$} -- (MC1.north);\n",
"\\draw [->] ([yshift=-0.2cm]MS1.south) node [below] {$-\\sin(2\\pi f_c t)$} -- (MS1.south);\n",
"\\draw [dashed,red] ([yshift=-0.8cm,xshift=-0.8cm]d.center) -- ++(1.6,0) -- ++(0,1.6) -- ++(-1.6,0) node [pos=0.8,above] {Digital baseband};\n",
"\\draw [dashed,blue] ([yshift=0.8cm,xshift=-0.6cm]M1.center) rectangle ([xshift=0.5cm,yshift=-0.8cm]g1.center) node [midway,above,yshift=0.8cm] {D/A Conversion};\n",
"\n",
"\\node (T1) [below=1.5 of d.center] {T1)};\n",
"\\node at (T1-|M1.center) {T2)};\n",
"\\node at (T1-|g1.center) {T3)};\n",
"\\node at (T1-|R1.center) {T4)};\n",
"\\node at (T1-|MC1.center) {T5)};\n",
"\\node at (T1-|P.center) {T6)};\n",
"\n",
"\\draw [dashed] ([yshift=-0.5cm]T1.center)+(-1,0) -- ++(12,0);\n",
"\\end{scope}\n",
"\n",
"\n",
"\n",
"\\begin{scope}[yshift=-4.5cm]\n",
"\\draw [->] (0,0) node [left] (s) {$s(t)$} -- ++(0.5,0) coordinate (C) |- ++(0.5,0.7) node (MC2) [right,mul] {$\\times$};\n",
"\\draw [->] (C) |- ++(0.5,-0.7) node (MS2) [right,mul] {$\\times$};\n",
"\\draw [->] (MC2.east) -- +(1.5,0) node (LP1) [draw,right] {LP} node [midway,above] {$i_{down}(t)$};\n",
"\\draw [->] (MS2.east) -- +(1.5,0) node (LP2) [draw,right] {LP} node [midway,above] {$q_{down}(t)$};\n",
"\\node (R2) [right=5 of C,draw,minimum height=2cm,align=center] {Re\\\\Im};\n",
"\\draw [->] (LP1.east) -- (LP1.east-|R2.west) node [midway,above] {$i_{down,LP}(t)$};\n",
"\\draw [->] (LP2.east) -- (LP2.east-|R2.west) node [midway,above] {$q_{down,LP}(t)$};\n",
"\\draw [double,->] (R2.east) -- +(1,0) node (g2) [right,draw] {$g(t)$} node [midway,above] {$v(t)$};\n",
"\\draw [double,->] (g2.east) -- +(1,0) node (S) [right,draw] {\\tikz[-,scale=0.2]\\draw (0,0) -- ++(1,0) -- ++(1,1) ++(0,-1) -- ++(1,0);} node [midway,above] {$y(t)$};\n",
"\\draw [double,->] (S.east) -- +(1,0) node (dh) [right] {$\\hat{d}[k]$};\n",
"\\draw [fill] (C) circle (1pt);\n",
"\\draw [->] ([yshift=0.5cm]MC2.north) node [above] {$\\cos(2\\pi f_c t)$} -- (MC2.north);\n",
"\\draw [->] ([yshift=-0.5cm]MS2.south) node [below] {$-\\sin(2\\pi f_c t)$} -- (MS2.south);\n",
"\\draw [->] (S.north)+(0,0.27) node [above,yshift=-0.1cm] {$T$} -- (S);\n",
"\\draw [dashed,blue] ([xshift=-0.5cm,yshift=0.8cm]g2.center) rectangle ([xshift=0.5cm,yshift=-0.8cm]S.center) node [midway,above,yshift=0.8cm] {A/D Conversion};\n",
"\\draw [dashed,red] ([xshift=0.8cm,yshift=-0.8cm]dh.center) -- ++(-1.6,0) -- ++(0,1.6) -- ++(1.6,0) node [pos=0.8,above] {Digital baseband};\n",
"\n",
"\\node (R1) at ([yshift=-1.7cm]MS2.center) {R1)};\n",
"\\node at (R1-|LP1.center) {R2)};\n",
"\\node at (R1-|R2.center) {R3)};\n",
"\\node at (R1-|g2.center) {R4)};\n",
"\\node at (R1-|S.center) {R5)};\n",
"\\end{scope}\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"In the following steps, we will go through the components and numerically illustrate, what happens within these blocks. Let us first define some variables and constants:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"Fs = int(6e4) # the sampling frequency we use for the discrete simulation of analog signals\n",
"\n",
"fc = int(3e3) # 3kHz carrier frequency\n",
"Ts = 1e-3 # 1 ms symbol spacing, i.e. the baseband samples are Ts seconds apart.\n",
"BN = 1/(2*Ts ) # the Nyquist bandwidth of the baseband signal.\n",
"\n",
"\n",
"ups = int(Ts*Fs) # number of samples per symbol in the \"analog\" domain\n",
"N = 10 # number of transmitted baseband samples"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us further define our transmit filter $g(t)$. In our case, we use a root-raised cosine (RRC) filter with rolloff 1. *Feel free to change the filter or rolloff for your own experiments.* Since the normal RRC filter is infinitely long in time domain, we need to truncate it to a length of $2t_0$ and make it causal by shifting it by $t_0$ to the right:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc1cbfdb208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# the RRC filter should span 3 baseband samples to the left and to the right. \n",
"# Hence, it introduces a delay of 3Ts seconds.\n",
"t0 = 3*Ts \n",
"\n",
"\n",
"# Calculate the filter coefficients (N=number of samples in filter)\n",
"_, rrc = commpy.filters.rrcosfilter(N=int(2*t0*Fs), alpha=1,Ts=Ts, Fs=Fs)\n",
"t_rrc = np.arange(len(rrc)) / Fs # the time points that correspond to the filter values\n",
"plt.plot(t_rrc/Ts, rrc)\n",
"plt.grid(True); plt.ylabel('$g(t)$'); plt.xlabel('$t/T_s$'); plt.title('The transmitter RRC filter $g(t)$');"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Transmitter (Steps T1-T6)\n",
"\n",
"In step T1) we generate some random baseband data. The baseband of the digital transmission system can be complex-valued, so we create complex baseband samples $d[n]$. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc200afe400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Step T1)\n",
"constellation = np.array([1+1j, 1-1j, -1+1j, -1-1j]) # the possible values in the baseband\n",
"dk = np.random.choice(constellation, size=(N)) # randomly choose some samples\n",
"t_symbols = Ts * np.arange(N) # time instants of the baseband samples\n",
"\n",
"# Plot the samples\n",
"plt.figure(figsize=(8,3))\n",
"plt.subplot(121)\n",
"plt.stem(t_symbols/Ts, dk.real);\n",
"plt.grid(True); plt.ylabel('$d[k]$'); plt.xlabel('$t/T_s$'); plt.title('Real part');\n",
"plt.subplot(122)\n",
"plt.stem(t_symbols/Ts, dk.imag);\n",
"plt.grid(True); plt.ylabel('$d[k]$'); plt.xlabel('$t/T_s$'); plt.title('Imaginary part');\n",
"plt.tight_layout();"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"The next step T2) in the signal processing chain is the weighting of a Dirac comb function with the baseband samples, yielding the signal $x(t)$, given by\n",
"$$x(t)=\\sum_{k=-\\infty}^{\\infty}d[k]\\delta(t-kT_s).$$ We emulate this by creating a sequence of zeros $x$, where at each time for a new baseband sample, this sample is written into the sequence:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc2009fda20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Step T2)\n",
"x = np.zeros(ups*N, dtype='complex')\n",
"x[::ups] = dk # every ups samples, the value of dn is inserted into the sequence\n",
"t_x = np.arange(len(x))/Fs\n",
"\n",
"plt.figure(figsize=(8,3))\n",
"plt.subplot(121)\n",
"plt.plot(t_x/Ts, x.real);\n",
"plt.grid(); plt.ylabel(r'$\\Re\\{x(t)\\}$'); plt.xlabel('$t/T_s$');\n",
"plt.subplot(122)\n",
"plt.plot(t_x/Ts, x.imag);\n",
"plt.grid(); plt.ylabel(r'$\\Im\\{x(t)\\}$'); plt.xlabel('$t/T_s$');\n",
"plt.tight_layout();"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"In step T3), the weighted Dirac comb function is filtered with the pulse shaping filter $g(t)$. The outcome is the baseband signal $u(t)$, given by $$u(t)=g(t)*x(t)=\\sum_{k=-\\infty}^{\\infty}d[k]g(t-kT_s).$$\n",
"\n",
"In the code below, we calculate the filtering by using `np.convolve`. For the plotting of the signal, we also plot the corresponding weighted Dirac comb in the figures. However, since the filtering introduces a delay of $t_0$ seconds, we also delay $x(t)$ by $t_0$ to match it to the transmitted signal:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc2009c7780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Step T3)\n",
"u = np.convolve(x, rrc)\n",
"\n",
"t_u = np.arange(len(u))/Fs\n",
"\n",
"plt.figure(figsize=(8,3))\n",
"plt.subplot(121) \n",
"plt.plot((t_x+t0)/Ts, x.real, label='$x(t)$') # artificial extra delay for the baseband samples\n",
"plt.plot(t_u/Ts, u.real, label='$u(t)$')\n",
"plt.grid(True); plt.ylabel(r'$\\Re\\{u(t),x(t)\\}$'); plt.xlabel('$t/T_s$'); plt.title('Real part'); plt.legend(fontsize=10);\n",
"plt.subplot(122)\n",
"plt.plot((t_x+t0)/Ts, x.imag)\n",
"plt.plot(t_u/Ts, u.imag)\n",
"plt.grid(True); plt.ylabel(r'$\\Im\\{u(t),x(t)\\}$'); plt.xlabel('$t/T_s$'); plt.title('Imaginary part');\n",
"plt.tight_layout();"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"As we see, the baseband signal roughly matches the transmitted baseband samples. Since we use an RRC filter, the signal is not ISI-free and hence the baseband signal does not exactly go through the values of the baseband samples. We will use a matched filter at the receiver to get the correct samples out of this signal.\n",
"\n",
"In the next step T4), the complex baseband signal $u(t)$ is split into real and imaginary part. The real and imaginary part are also named in-phase (I) and quadratur (Q) components."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Step T4)\n",
"i = u.real\n",
"q = u.imag"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"The interesting part of up-conversion happens in step T5). Here, the real and imaginary part of the signal are multiplied by cosine and sine, respectively:\n",
"\n",
"$$\\begin{align}\n",
"i_{up}(t)&=i(t)\\cos(2\\pi f_c t)\\\\\n",
"q_{up}(t)&=-q(t)\\sin(2\\pi f_c t)\n",
"\\end{align}.$$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Step T5)\n",
"iup = i * np.cos(2*np.pi*t_u*fc) \n",
"qup = q * -np.sin(2*np.pi*t_u*fc)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us see how these signal look like, and also what we can learn from their spectrum, i.e. Fourier transform:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc200a8a198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# define a function to calculate the spectrum of a signal\n",
"fftLen = 4*len(u) # perform 4-times zeropadding to get smoother spectrum\n",
"spectrum = lambda x: np.fft.fftshift(np.fft.fft(x, fftLen)) / Fs * (len(u))\n",
"\n",
"# Calculate the spectrum of the signals\n",
"f_u = np.linspace(-Fs/2, Fs/2, fftLen)\n",
"I = spectrum(i); Iup = spectrum(iup)\n",
"Q = spectrum(q); Qup = spectrum(qup)\n",
"\n",
"# Plot the time-domain signals\n",
"plt.figure(figsize=(8,6))\n",
"plt.subplot(221)\n",
"plt.plot(t_u/Ts, iup, label='$i_{up}(t)$')\n",
"plt.plot(t_u/Ts, i, 'r', label='$i(t)$')\n",
"plt.xlabel('$t/T_s$'); plt.ylabel('$i(t), i_{up}(t)$'); plt.legend(fontsize=10);\n",
"plt.grid(True);\n",
"\n",
"plt.subplot(222)\n",
"plt.plot(t_u/Ts, qup, label='$q_{up}(t)$')\n",
"plt.plot(t_u/Ts, q, 'r', label='$q(t)$')\n",
"plt.xlabel('$t/T_s$'); plt.ylabel('$u(t), u_{up}(t)$'); plt.legend(fontsize=10);\n",
"plt.grid(True);\n",
"\n",
"plt.subplot(223)\n",
"plt.plot(f_u, abs(I), 'r')\n",
"plt.plot(f_u, abs(Iup), 'b')\n",
"plt.xlim((-fc-3*BN, fc+3*BN))\n",
"plt.axvline(fc); plt.axvline(-fc)\n",
"plt.axvline(-BN); plt.axvline(BN)\n",
"plt.xticks([-fc, -BN, BN, fc])\n",
"plt.gca().set_xticklabels(['$-f_c$', '$-B_N$', '$B_N$', '$f_c$']);\n",
"plt.grid(True); plt.ylabel('$I(f)$'); plt.xlabel('$f$');\n",
"\n",
"plt.subplot(224)\n",
"plt.plot(f_u, abs(Q), 'r')\n",
"plt.plot(f_u, abs(Qup), 'b')\n",
"plt.xlim((-fc-3*BN, fc+3*BN))\n",
"plt.xlim((-fc-2*BN, fc+2*BN))\n",
"plt.axvline(fc); plt.axvline(-fc)\n",
"plt.axvline(-BN); plt.axvline(BN)\n",
"plt.xticks([-fc, -BN, BN, fc])\n",
"plt.gca().set_xticklabels(['$-f_c$', '$-B_N$', '$B_N$', '$f_c$']);\n",
"plt.grid(True); plt.ylabel('$I(f)$'); plt.xlabel('$f$');\n",
"plt.tight_layout();"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We can make several observations from these graphs: The blue curves are the upconverted version of the red curves. As shown, their envelope in time domain is given by the red curve. In the spectrum, we see that the blue curves are copies of the red curve, but shifted to the carrier frequency. In particular, note that all spectrums are symmetric. This is clear, since both $i(t)$ and $q(t)$ are purely real functions, which have a symmetric spectrum."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Eventually, in step T6) the I- and Q-path of the signal are summed together to get $s(t)=i_{up}(t)+q_{up}(t)$. Then, $s(t)$ is sent to the antenna."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Step T6)\n",
"s = iup + qup"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us have a look at the time domain signal $s(t)$ and its spectrum $S(f)$. In addition, let us compare $S(f)$ against the baseband spectrum $U(f)$:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc20092e128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"S = spectrum(s)\n",
"U = spectrum(u)\n",
"\n",
"plt.figure(figsize=(8,3))\n",
"plt.subplot(121)\n",
"plt.plot(t_u/Ts, s)\n",
"plt.grid(True); plt.ylabel('$s(t)$'); plt.xlabel('$t/T_s$');\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(f_u, abs(U), 'r', label='$|U(f)|$')\n",
"plt.plot(f_u, abs(S), 'b', label='$|S(f)|$')\n",
"plt.xlim((-fc-2.5*BN, fc+2.5*BN))\n",
"plt.xticks([-fc, -BN, 0, BN, fc])\n",
"plt.legend(fontsize=10);\n",
"plt.gca().set_xticklabels(['$-f_c$', '$-B_N$', '$0$', '$B_N$', '$f_c$']); plt.ylabel('$|S(f)|,|U(f)|$')\n",
"plt.axvline(-fc); plt.axvline(0); plt.axvline(fc)\n",
"ax = plt.gca()\n",
"ax.annotate('', xy=(fc, 4), xytext=(0.2*BN, 4), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=-.2\"))\n",
"plt.text(fc/2, 4.8, 'shift', ha='center', va='bottom')\n",
"ax.annotate('', xy=(-fc, 4), xytext=(-0.2*BN, 4), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
"plt.text(-fc/2, 4.8, 'shift+mirror', ha='center', va='bottom')\n",
"plt.grid(True)\n",
"plt.tight_layout();"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"From the time-domain signal we cannot really see anything. But, looking at the spectrum we can see the following:\n",
"- The blue spectrum $S(f)$ is symmetric (to $f=0$). Hence, it corresponds to a real signal. This is clear, since the signal which is sent to the antenna must be real-valued.\n",
"- The red spectrum $U(f)$ is not symmetric, since it corresponds to a complex-valued baseband signal. However, note that the right half of $S(f)$ equals $U(f)$ (up to a scaling factor). The left half of $S(f)$ equals $U(-f)$, i.e. the mirrored baseband spectrum. By this trick, the complex-valued baseband signal $u(t)$ is converted to a real-valued bandpass signal $s(t)$ which carries the same information."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Receiver (Steps R1-R5)\n",
"\n",
"At the receiver, in step R1) the signal $s(t)$ is first multiplied by a sine and a cosine to get a down-converted I and Q component, given by\n",
"$$\\begin{align}\n",
"i_{down}(t) &= s(t)\\cos(2\\pi f_c t)\\\\\n",
"q_{down}(t) &= -s(t)\\sin(2\\pi f_c t)\n",
"\\end{align}.$$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Step R1)\n",
"idown = s * np.cos(2*np.pi*-fc*t_u) \n",
"qdown = s * -np.sin(2*np.pi*fc*t_u)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us again look at the spectrum of both downconverted signals:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc2007a7cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Idown = spectrum(idown)\n",
"Qdown = spectrum(qdown)\n",
"\n",
"plt.figure(figsize=(8,3))\n",
"plt.subplot(121)\n",
"plt.plot(f_u, Idown.real, label=r'$\\Re\\{I_{{down}}(f)\\}$', color='r')\n",
"plt.plot(f_u, S.real, label='$\\Re\\{S(f)\\}$', color='b')\n",
"plt.xlim((-2*fc-3*BN, 2*fc+3*BN))\n",
"plt.xticks([-2*fc, -fc, 0, fc, 2*fc]);\n",
"plt.gca().set_xticklabels(['$-2f_c$', '$-f_c$', '$0$', '$f_c$', '$2f_c$'])\n",
"plt.legend(fontsize=10)\n",
"plt.gca().annotate('', xy=(-BN, -0.75), xytext=(-fc, -0.75), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
"plt.gca().annotate('', xy=(BN, -0.75), xytext=(fc, -0.75), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=-.2\"))\n",
"plt.text(0, -0.75, '+', ha='center', va='center', bbox=dict(facecolor='white', boxstyle='circle,pad=0.1'))\n",
"plt.gca().annotate('', xy=(-2*fc, -0.75), xytext=(-fc, -0.75), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=-.2\"))\n",
"plt.gca().annotate('', xy=(2*fc, -0.75), xytext=(fc, -0.75), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
"plt.text(-1.5*fc, -1, 'shift', va='top', ha='center')\n",
"plt.text(1.5*fc, -1, 'shift', va='top', ha='center')\n",
"plt.grid(True);\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(f_u, Qdown.real, label=r'$\\Re\\{Q_{{down}}(f)\\}$', color='r')\n",
"plt.plot(f_u, S.imag, label=r'$\\Im\\{S(f)\\}$', color='b')\n",
"plt.gca().annotate('', xy=(-BN, -0.75), xytext=(-fc, -0.75), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
"plt.gca().annotate('', xy=(BN, -0.75), xytext=(fc, -0.75), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=-.2\"))\n",
"plt.text(0, -0.75, '+', ha='center', va='center', bbox=dict(facecolor='white', boxstyle='circle,pad=0.1'))\n",
"plt.gca().annotate('', xy=(-2*fc, -0.75), xytext=(-fc, -0.75), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=-.2\"))\n",
"plt.gca().annotate('', xy=(2*fc, -0.75), xytext=(fc, -0.75), arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
"plt.text(-1.5*fc, -1, 'shift', va='top', ha='center')\n",
"plt.text(1.5*fc, -1, 'shift+inverse', va='top', ha='center')\n",
"plt.xlim((-2*fc-3*BN, 2*fc+3*BN))\n",
"plt.xticks([-2*fc, -fc, 0, fc, 2*fc]);\n",
"plt.gca().set_xticklabels(['$-2f_c$', '$-f_c$', '$0$', '$f_c$', '$2f_c$'])\n",
"plt.legend(fontsize=10)\n",
"plt.grid(True);"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"First of all, we see that the downconverted signal has componenents around $f=0$ and some images around $f=2f_c$. Without going deeply into the maths, we can intuitively explain this: The blue signal $s(t)$ is multiplied by a cosine in time domain. This operation equals a convolution in the frequency domain, and the frequency domain expression of a cosine is given by\n",
"\n",
"$$\\mathcal{F}\\{\\cos(2\\pi f_c t)\\}=\\frac{1}{2}(\\delta(f-f_c)+\\delta(f+f_c)).$$\n",
"\n",
"Hence, we can find the following relation:\n",
"$$\\begin{align}\n",
"i_{down}(t)&=s(t)\\cos(2\\pi f_c t)\\\\\n",
"I_{down}(f)&=S(f)*\\frac{1}{2}(\\delta(f-f_c)+\\delta(f+f_c))=\\frac{1}{2}(S(f-f_c)+S(f+f_c)).\n",
"\\end{align}\n",
"$$\n",
"\n",
"This means, the red spectrum is the sum of shifting the blue spectrum by $f_c$ to the right to the left. Since $S(f)$ is concentrated around $f=\\pm f_c$, we first get a component around $f=0$, but also images at $f=2f_c$.\n",
"\n",
"Since we are only interested in the central part of the signal, the images at $2f_c$ need to be eliminated. To this end, we apply a low-pass filter, which is called the *image rejection filter* by obvious reasons. \n",
"\n",
"Let us design such a filter. Normally, the cutoff should be closely chosen to the bandwidth of the following AD converter in order to eliminate as much noise as possible. However, here we take a more pragmatic approach and design a filter that just rejects the images at $2f_c$. Also note that the filter, to be causal, necessarily introduces some extra delay $\\tau_{LP}$ to the signal."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc200a13c88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cutoff = 5*BN # arbitrary design parameters\n",
"lowpass_order = 51 \n",
"lowpass_delay = (lowpass_order // 2)/Fs # a lowpass of order N delays the signal by N/2 samples (see plot)\n",
"# design the filter\n",
"lowpass = scipy.signal.firwin(lowpass_order, cutoff/(Fs/2))\n",
"\n",
"# calculate frequency response of filter\n",
"t_lp = np.arange(len(lowpass))/Fs\n",
"f_lp = np.linspace(-Fs/2, Fs/2, 2048, endpoint=False)\n",
"H = np.fft.fftshift(np.fft.fft(lowpass, 2048))\n",
"\n",
"plt.figure(figsize=(8,3));\n",
"plt.subplot(121)\n",
"plt.plot(t_lp/Ts, lowpass)\n",
"plt.grid(True); plt.ylabel('$LP(t)$'); plt.xlabel('$t/T_s$'); plt.title('Image Rejection impulse response');\n",
"plt.axvline(lowpass_delay/Ts);\n",
"plt.gca().annotate(r'$\\tau_{LP}$', xy=(lowpass_delay/Ts,0.08), xytext=(lowpass_delay/Ts+0.3, 0.08), arrowprops=dict(arrowstyle='->'))\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(f_lp, 20*np.log10(abs(H)))\n",
"plt.xlim((0, 3*fc))\n",
"plt.xticks([0, cutoff, fc, 2*fc])\n",
"plt.gca().set_xticklabels(['0', '$f_{cut}$', '$f_c$', '$2f_c$'])\n",
"plt.ylabel('$|H(f)|$ [dB]'); plt.xlabel('$f$'); plt.title('Image Rejection Filter')\n",
"plt.ylim((-70, 10));\n",
"plt.grid(True);\n",
"plt.tight_layout();"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"As we see, the filter will introduce a delay of $\\tau_{LP}$ due to its maximum at this time. Furthermore, according to the frequency response, it should reliably remove the images at $2f_c$.\n",
"\n",
"So, in step R2) the images that stem from the downconversion are filtered out by means of the lowpass image rejection filter:\n",
"$$\\begin{align}\n",
"i_{down,lp}(t)&=i_{down}(t)*LP(t)\\\\\n",
"q_{down,lp}(t)&=q_{down}(t)*LP(t)\\\\\n",
"\\end{align}.$$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Step R2) \n",
"idown_lp = scipy.signal.lfilter(lowpass, 1, idown)\n",
"qdown_lp = scipy.signal.lfilter(lowpass, 1, qdown)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us again have a look at the spectrum of these filtered signals:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc200968780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Idown_lp = spectrum(idown_lp)\n",
"Qdown_lp = spectrum(qdown_lp)\n",
"\n",
"plt.figure(figsize=(8,3))\n",
"plt.subplot(121)\n",
"plt.plot(f_u, abs(Idown), 'r', lw=2, label=r'$|I_{down}(f)|$')\n",
"plt.plot(f_u, abs(Idown_lp), 'g-', label=r'$|I_{down,lp}(f)|$')\n",
"plt.xlim((-2*fc-2*BN, 2*fc+2*BN))\n",
"plt.legend(fontsize=10); plt.grid(True);\n",
"plt.xticks([-2*fc, 0, 2*fc]);\n",
"plt.gca().set_xticklabels(['$-2f_c$', '0', '$2f_c$']);\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(f_u, abs(Qdown), 'r', lw=2, label=r'$|Q_{down}(f)|$')\n",
"plt.plot(f_u, abs(Qdown_lp), 'g', label=r'$|Q_{down,lp}(f)|$')\n",
"plt.xlim((-2*fc-2*BN, 2*fc+2*BN))\n",
"plt.legend(fontsize=10); plt.grid(True);\n",
"plt.xticks([-2*fc, 0, 2*fc]);\n",
"plt.gca().set_xticklabels(['$-2f_c$', '0', '$2f_c$']);"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"As we can see, the image rejection filter has successfully removed the images at $2f_c$ from the signal, since the green curves only have components around $f=0$. Now, we can go ahead and combine I- and Q components to a complex baseband signal in step R3):\n",
"$$v(t)=i_{down,lp}(t)+jq_{down,lp}(t).$$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Step R3)\n",
"v = idown_lp + 1j*qdown_lp"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"In step R4), we perform matched filtering to the transmitter filter $g(t)$. This way the RRC at the transmitter and receiver combine to a RC filter, fulfills the [1st Nyquist criterion](http://dspillustrations.com/pages/posts/misc/the-first-nyquist-criterion.html) and hence yields ISI-free baseband samples, when sampled at the correct sampling position.\n",
"$$y(t)=v(t)*g(t)$$\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Step R4)\n",
"y = np.convolve(v, rrc) / (sum(rrc**2)) * 2"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we introduce some energy normalization to get the correct amplitude of the signal at the receiver. Eventually, in step R5), we sample the analog baseband signal to get the actual baseband samples that were transmitted over the channel. Here, we need to take care of the overall transmission delay of the chain, which consists of\n",
"\n",
"- $t_0$ delay at the transmitter due to filtering with $g(t)$ in the DA conversion,\n",
"- $\\tau_{LP}$ delay at the receiver due to the image rejection filter,\n",
"- $t_0$ delay at the receiver due to matched filtering with $g(t)$ in the AD conversion.\n",
"\n",
"Hence, the overall delay is given by $2t_0+\\tau_{LP}$. So, to get the baseband samples, we sample the received baseband signal at the following positions:\n",
"\n",
"$$\\hat{d}[n] = v(nT_s+2t_0+\\tau_{LP}).$$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Step R5)\n",
"delay = int((2*t0 + lowpass_delay)*Fs)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us finally have a look at the resulting baseband signal and the sampled version of it. We can also compare the received values with the transmitted to make sure, our transmission did not introduce any errors."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc2009f4898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t_y = np.arange(len(y))/Fs\n",
"t_samples = t_y[delay::ups]\n",
"y_samples = y[delay::ups]\n",
"\n",
"plt.figure(figsize=(8,6))\n",
"plt.subplot(221)\n",
"plt.plot(t_y/Ts, y.real)\n",
"plt.stem(t_samples/Ts, y_samples.real)\n",
"plt.xlabel('$t/T_s$'); plt.ylabel(r'$\\Re\\{y(t)\\}$'); plt.grid(True); plt.title('Real part Received');\n",
"\n",
"plt.subplot(222)\n",
"plt.plot(t_y/Ts, y.imag)\n",
"plt.stem(t_samples/Ts, y_samples.imag)\n",
"plt.xlabel('$t/T_s$'); plt.ylabel(r'$\\Im\\{y(t)\\}$'); plt.grid(True); plt.title('Imaginary part Received');\n",
"\n",
"plt.subplot(223)\n",
"plt.stem(t_symbols/Ts, dk.real);\n",
"plt.xlabel('$t/T_s$'); plt.ylabel(r'$\\Re\\{d[k]\\}$'); plt.grid(True); plt.title('Real part Transmitted');\n",
"plt.subplot(224)\n",
"plt.stem(t_symbols/Ts, dk.imag);\n",
"plt.xlabel('$t/T_s$'); plt.ylabel(r'$\\Im\\{d[k]\\}$'); plt.grid(True); plt.title('Imaginary part Transmitted');\n",
"plt.tight_layout();"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"As shown, the received samples match the transmitted samples, however a significant delay due to the intermediate filters was introduced."
]
}
],
"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": "3.11.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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