pico-tracker/sim/si_fir_filter/si_fir_filter.ipynb

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389 KiB
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"name": ""
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"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Let's plot some filters "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Reflects an array of coefficients about the last element \n",
"def sym_fir_coeff(coeff):\n",
" for i in range(len(coeff)-2, -1, -1):\n",
" coeff.append(coeff[i])\n",
"\n",
" return coeff\n",
"\n",
"# Normalises the si's 8-bit coefficients to 0 - 1 \n",
"def si_normalise_coeff(coeff):\n",
" return [x/0x300 for x in coeff] # 0x300 seems to be the value required to get 0 gain at dc.. Not sure about this: Test!"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 34
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"These are the default si coefficients"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Default si coefficients \n",
"si_default_fir_coeff = [0x1, 0x3, 0x8, 0x11, 0x21, 0x36, 0x4d, 0x60, 0x67]\n",
"si_fir_coeff = si_normalise_coeff(sym_fir_coeff(si_default_fir_coeff))\n",
"print si_fir_coeff"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[0.0013020833333333333, 0.00390625, 0.010416666666666666, 0.022135416666666668, 0.04296875, 0.0703125, 0.10026041666666667, 0.125, 0.13411458333333334, 0.125, 0.10026041666666667, 0.0703125, 0.04296875, 0.022135416666666668, 0.010416666666666666, 0.00390625, 0.0013020833333333333]\n"
]
}
],
"prompt_number": 35
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Setup graph"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy import signal\n",
"from pylab import *\n",
"from __future__ import division\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 37
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"w,h=signal.freqz(si_fir_coeff,1) # Compute impulse response \n",
"\n",
"plt.plot(w/pi,20*log10(abs(h)))\n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ufCUwZ84c9OnTB9OmTUNlZSV27NgBADh58iR69epV/Tyj0QhTzalzRORQnp5y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\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1d9a7d0>"
]
}
],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So this a Gausian Filter with B\\*T=0.5. Nice\n",
"\n",
"Let's generate some more filter coefficients. I got these from [\"Free online FIR filter design\"](http://t-filter.appspot.com/fir/index.html). Happy days"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t_fir_coeff = [0.01665389596732681,\n",
" 0.07353658710395161,\n",
" 0.10040345335534452,\n",
" 0.04751332314075821,\n",
" -0.06317967799551721,\n",
" -0.09143711477971043,\n",
" 0.06319322564548596,\n",
" 0.31257963657965065,\n",
" 0.43524399610103215,\n",
" 0.31257963657965065,\n",
" 0.06319322564548596,\n",
" -0.09143711477971043,\n",
" -0.06317967799551721,\n",
" 0.04751332314075821,\n",
" 0.10040345335534452,\n",
" 0.07353658710395161,\n",
" 0.01665389596732681]\n",
"t2_fir_coeff = [\n",
" 0.005896897045205714,\n",
"0.010704119037845003,\n",
"-0.00007850080590466364,\n",
"-0.03065101327252804,\n",
"-0.04934969829168403,\n",
"-0.0032240578718828747,\n",
"0.12395841691052671,\n",
"0.27093078431580997,\n",
"0.33655204899827573,\n",
"0.27093078431580997,\n",
"0.12395841691052671,\n",
"-0.0032240578718828747,\n",
"-0.04934969829168403,\n",
"-0.03065101327252804,\n",
"-0.00007850080590466364,\n",
"0.010704119037845003,\n",
"0.005896897045205714\n",
"]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"w,h=signal.freqz(t_fir_coeff,1) # Compute impulse response \n",
"\n",
"plt.plot(w/pi,20*log10(abs(h)))\n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Ezp2Tk+mlpVazQmpRnz7n7xXYudO7y39bwiJA5AZ7O0ivImA/M6nNpu/SU1d0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\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1db7990>"
]
}
],
"prompt_number": 40
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"This has a different response. Much sharper. Interesting. Lot more passband ripple too though"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"w,h=signal.freqz(t2_fir_coeff,1) # Compute impulse response \n",
"\n",
"plt.plot(w/pi,20*log10(abs(h)))\n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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9Xbu/qjp3lvuq6YYAGRly3uCuu/SNwWbQoNpHAtu3y0c0uvMkxbpGSdu2yXjc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\nIvJiLAJERF7s/wHM5T5WRtVSZgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1d4d9d0>"
]
}
],
"prompt_number": 41
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Much less passband ripple"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Generate some test aprs data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"samp_rate = 60*1000"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 42
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def create_sine(frequency, amplitude=1.0, bits=1, bitrate=1200, sr=samp_rate):\n",
" global phase\n",
" \n",
" w = 2.0 * pi * frequency\n",
" t = arange(0, (bits / bitrate), bits / sr)\n",
" \n",
" wave = sin(w * t + phase)\n",
" phase += (w * bits / bitrate)\n",
" \n",
" return wave\n",
" \n",
"def random_data(length=200):\n",
" return [0 if x < 0.5 else 1 for x in rand(length)]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 43
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def get_afsk(len_afsk=25, sq=False, sr=samp_rate, dl=1, dh=1):\n",
" global phase\n",
" phase = pi/2\n",
" \n",
" if sq: # Square Wave\n",
" afsk = concatenate([[-dl if x < 0 else dl for x in create_sine(1200, sr=sr)] if x \n",
" else [-dh if x < 0 else dh for x in create_sine(2200, sr=sr)]\n",
" for x in random_data(len_afsk)])\n",
" \n",
" else: \n",
" afsk = concatenate([create_sine(1200, sr=sr) * dl if x \n",
" else create_sine(2200, sr=sr) * dh for x in random_data(len_afsk)])\n",
" \n",
" \n",
" \n",
" return afsk"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 44
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Let's see what it looks like in the time domain"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(get_afsk(len_afsk=12))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 45,
"text": [
"[<matplotlib.lines.Line2D at 0x7fbcc1c8cad0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ZDjqusCo7MaapAJLSOBMTjNSC7z0A1BXAyAjbdTPsO8NADSpk0k1ACaWAALsK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\nR44SRU4AOXLkyFGi+P/UtR0qt1ItHwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1c0c4d0>"
]
}
],
"prompt_number": 45
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Yay, it's phase continous. Sorry about the global\n",
"\n",
"And as a square wave"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(get_afsk(len_afsk=10, sq=True, dh=3/1.6)) # test out the different deviations for high/low tone"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 46,
"text": [
"[<matplotlib.lines.Line2D at 0x7fbcc1e22f90>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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FPv9cXbSweTNw4ED8x9x6K7B2rX4B+NWvgOPHIx8zMKAmqmtvB5qazD/PyQEa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\nXMr/A/3rBU7vV9HNAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1c03f90>"
]
}
],
"prompt_number": 46
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Plots a set of afsk spectrums\n",
"\n",
"def plot_afsk_spectrum(afsks, num=\"\", sr=samp_rate, p_avg=True, p_max=True):\n",
" S = sr/(1200*15)\n",
" len_afsk = 25\n",
"\n",
" n_afsk = (len_afsk/1200)*samp_rate # Total number of samples\n",
" \n",
" win = blackman(len(afsks[0]))\n",
" \n",
" ffts = [fft(afsk*win) for afsk in afsks]\n",
"\n",
" yf_average = average(ffts, axis=0)\n",
" yf_maximum = amax(ffts, axis=0)\n",
"\n",
" xf = np.linspace(0.0, 0.5*sr/S, n_afsk/(2*S))\n",
" \n",
" if p_avg:\n",
" avg, = plt.semilogy(xf, 2* 2.0 * np.abs(yf_average[0:n_afsk/(2*S)]), label='Avg'+num)\n",
" if p_max:\n",
" maxi, = plt.semilogy(xf, 2.0 * np.abs(yf_maximum[0:n_afsk/(2*S)]), label='Max'+num)\n",
" \n",
" if p_avg and p_max:\n",
" plt.legend(handles=[avg,maxi])\n",
" \n",
" plt.grid()\n",
" \n",
"def plot_afsk_spectrum2(afsks1, afsks2, p_avg=True, p_max=True):\n",
" plot_afsk_spectrum(afsks1, \"1\", p_avg=p_avg, p_max=p_max)\n",
" plot_afsk_spectrum(afsks2, \"2\", p_avg=p_avg, p_max=p_max)\n",
" plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 47
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that while on average the energy is at 1.2kHz and 2.2kHz there's actually things going to up to 3kHz or so"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"afsks = [get_afsk() for x in range(100)]\n",
"\n",
"plot_afsk_spectrum(afsks)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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vx7hx4zBr1iytJ6NjxBA0dqb8k08+EY0mzMzM0KlTJ9GPQThM1PRxmV0ZWpu31lr7DT0+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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1d709d0>"
]
}
],
"prompt_number": 48
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Let's compare that with the squarewave"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"afsks = [get_afsk(sq = False) for x in range(100)]\n",
"afsks_sq = [get_afsk(sq = True) for x in range(100)]\n",
"\n",
"plot_afsk_spectrum2(afsks, afsks_sq)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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+cVlAAHu0Wqe26UpojEZeKy7m9T4UUOwMlw0W95eB6BEIIYj7cQOzjmQxKziY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\nQrPbPXfOr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h9dvnw5ORwO6Zpmz55NRqORzGYzHTlyhIiCM07St6pkGIZh5MKb1zMMw4xw\n2AgYhmFGOGwEDMMwIxw2AoZhmBEOGwHDMMwIh42AYRhmhMNGwDAMM8JhI2AYhhnh/A+shOJgYEp+\nHAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1d541d0>"
]
}
],
"prompt_number": 49
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hmm the square wave is less that 10dB down at ~4kHz. Not great"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# What happens when we add a filter?\n",
"Let's tune the deviation ratios too"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Start by defining the tx data rate `DATA_RATE` and oversampling ratio `TXOSR` "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tx_data_rate = 3000\n",
"tx_osr = 10\n",
"\n",
"# Our filter samples at the product of these two values\n",
"filter_samp_rate = tx_data_rate * tx_osr"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 100
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Deviation for high tone\n",
"devl = 1800 # Adjust to give 1600hz deviation on the squarewave input\n",
"devh = 4800 # Adjust to give 3000hz deviation on the squareware input"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 101
},
{
"cell_type": "code",
"collapsed": true,
"input": [
"# Which fir filter to use\n",
"fir = si_fir_coeff"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 102
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"afsks = [get_afsk(sq = False, sr=filter_samp_rate, dl=devl, dh=devh) for x in range(100)]\n",
"afsks_filtered = [convolve(afsk, fir, mode='valid') for afsk in afsks] \n",
"\n",
"afsk_time = get_afsk(len_afsk=12, sq = False, sr=filter_samp_rate, dl=devl, dh=devh)\n",
"plt.plot(convolve(afsk_time, fir, mode='valid'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 103,
"text": [
"[<matplotlib.lines.Line2D at 0x7fbcc198c590>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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GXpKXS2Rlktn6jayXNjoZbBUtenrYbMK6KxC9JsYcBQ24C6EymZ2aysrKRZ7VRMUoFGPG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\nS7gCTCjcqNQYO5Ylj8MfNE0Ti4WrFIp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GFixYgNLSUhQVFeGpp54CoPjaSWU4okRfX582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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1527c10>"
]
}
],
"prompt_number": 103
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_afsk_spectrum2(afsks, afsks_filtered, p_max=False) # Average"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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+urUaLr30jSHgEbuI+2QIgtyDUN1aje5eEmM4V3lOZzT0UK+haOhoQMuNFuW6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\nX4aRv/TzAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc13f4fd0>"
]
}
],
"prompt_number": 104
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_afsk_spectrum2(afsks, afsks_filtered, p_avg=False) # Maximum"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Pn6r4+DBfzLFjzB/42WdEenrMf3j+PFGrVtpWWDJCNtvlqgN4/JgtmMnOJhr1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\nAQghRJSSCUAIIaLUvwHcYSaXLcbeSwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc23ab110>"
]
}
],
"prompt_number": 105
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### And for a squarewave input"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"afsks = [get_afsk(sq = True, sr=filter_samp_rate, dl=devl, dh=devh) for x in range(100)]\n",
"afsks_filtered = [convolve(afsk, fir, mode='valid') for afsk in afsks] \n",
"\n",
"afsk_time = get_afsk(len_afsk=12, sq = True, sr=filter_samp_rate, dl=devl, dh=devh)\n",
"plt.plot(convolve(afsk_time, fir, mode='valid'))\n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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UDP5u/vz5ZNeuXaSlpYUUFhYOnn/xxRfJN77xjRg98sf9l38h5NlnY5/lm98k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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1970790>"
]
}
],
"prompt_number": 106
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_afsk_spectrum2(afsks, afsks_filtered, p_max=False) # Average"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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7Y6R45x3u9nfvBuLjFdseHsCECVLcey8Fdk+eVJyfkyPDF18ADg60XVAgQ3k5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\n0YbX0l7DRwkfcVNgeI32grpNzXvitrzaPEzwnoDX7n0NG7I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tS8U0P8OL45gTswaC3bt3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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc140cf10>"
]
}
],
"prompt_number": 107
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_afsk_spectrum2(afsks, afsks_filtered, p_avg=False) # Maximum"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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bN0+0A2zYIG7TS5UiOndODJzXsCHR2rWGO/eKFaLBt3t3sdyhQ95V/xCJRvJP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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fbcc1966ad0>"
]
}
],
"prompt_number": 108
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 108
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 108
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}