Skip to content

Instantly share code, notes, and snippets.

@Tschucker
Created February 16, 2021 18:56
Show Gist options
  • Save Tschucker/0e9a7150e356a7afb57b601a963f7cf8 to your computer and use it in GitHub Desktop.
Save Tschucker/0e9a7150e356a7afb57b601a963f7cf8 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Intensity Graded FFT Plot with QPSK"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import math"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"#Test QPSK Signal\n",
"num_symbols = 256*10240\n",
"sps = 2\n",
"\n",
"x_int = np.random.randint(0, 4, num_symbols) # 0 to 3\n",
"\n",
"x_int = np.repeat(x_int, sps, axis=0)\n",
"\n",
"x_degrees = x_int*360/4.0 + 45 # 45, 135, 225, 315 degrees\n",
"x_radians = x_degrees*np.pi/180.0 # sin() and cos() takes in radians\n",
"x_symbols = np.cos(x_radians) + 1j*np.sin(x_radians) # this produces our QPSK complex symbols\n",
"\n",
"# Create our raised-cosine filter\n",
"num_taps = 101\n",
"beta = 0.35\n",
"Ts = sps # Assume sample rate is 1 Hz, so sample period is 1, so *symbol* period is 8\n",
"t = np.arange(-51, 52) # remember it's not inclusive of final number\n",
"h = np.sinc(t/Ts) * np.cos(np.pi*beta*t/Ts) / (1 - (2*beta*t/Ts)**2)\n",
"\n",
"# Filter our signal, in order to apply the pulse shaping\n",
"x_shaped = np.convolve(x_symbols, h)\n",
"\n",
"n = (np.random.randn(len(x_shaped)) + 1j*np.random.randn(len(x_shaped)))/np.sqrt(2) # AWGN with unity power\n",
"noise_power = 0.001\n",
"r = x_shaped + n * np.sqrt(noise_power)\n",
"\n",
"samples = r"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"#Function\n",
"def fft_intensity_plot(samples: np.ndarray, fft_len: int = 256, fft_div: int = 2, mag_steps: int = 100, cmap: str = 'plasma'):\n",
" \n",
" num_ffts = math.floor(len(samples)/fft_len)\n",
" \n",
" fft_array = []\n",
" for i in range(num_ffts):\n",
" temp = np.fft.fftshift(np.fft.fft(samples[i*fft_len:(i+1)*fft_len]))\n",
" temp_mag = 20.0 * np.log10(np.abs(temp))\n",
" fft_array.append(temp_mag)\n",
" \n",
" max_mag = np.amax(fft_array)\n",
" min_mag = np.abs(np.amin(fft_array))\n",
" \n",
" norm_fft_array = fft_array\n",
" for i in range(num_ffts):\n",
" norm_fft_array[i] = (fft_array[i]+(min_mag))/(max_mag+(min_mag)) \n",
" \n",
" mag_step = 1/mag_steps\n",
"\n",
" hitmap_array = np.random.random((mag_steps+1,int(fft_len/fft_div)))*np.exp(-10)\n",
"\n",
" for i in range(num_ffts):\n",
" for m in range(fft_len):\n",
" hit_mag = int(norm_fft_array[i][m]/mag_step)\n",
" hitmap_array[hit_mag][int(m/fft_div)] = hitmap_array[hit_mag][int(m/fft_div)] + 1\n",
"\n",
" hitmap_array_db = 20.0 * np.log10(hitmap_array+1)\n",
" \n",
" figure, axes = plt.subplots()\n",
" axes.imshow(hitmap_array_db, origin='lower', cmap=cmap, interpolation='bilinear')\n",
" \n",
" return(figure)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plots"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig1 = fft_intensity_plot(samples, 1024, 2, 300, 'plasma')\n",
"fig1.savefig('fig1_qpsk_intensity.png', dpi=300, format='png')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig4 = fft_intensity_plot(samples, 1024, 2, 300, 'gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Optional Waterfall Plot"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"#figure, axes = plt.subplots()\n",
"#axes.specgram(samples, NFFT=1024, Fs=2.048e6, noverlap=900, mode='magnitude', cmap='plasma')\n",
"#figure.savefig('fig_fall.png', dpi=300, format='png')"
]
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment