diff options
Diffstat (limited to 'lab-windows/dsss_experiments.ipynb')
| -rw-r--r-- | lab-windows/dsss_experiments.ipynb | 448 |
1 files changed, 313 insertions, 135 deletions
diff --git a/lab-windows/dsss_experiments.ipynb b/lab-windows/dsss_experiments.ipynb index dbc06e4..be41b59 100644 --- a/lab-windows/dsss_experiments.ipynb +++ b/lab-windows/dsss_experiments.ipynb @@ -72,7 +72,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "a4f8421f05544016854b22a49dbc3698", + "model_id": "01394154cc52483e9d4483f1178d94c3", "version_major": 2, "version_minor": 0 }, @@ -93,7 +93,7 @@ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f8fd0fdaac0>" + "<matplotlib.image.AxesImage at 0x7fcfd7369250>" ] }, "execution_count": 5, @@ -112,45 +112,152 @@ "metadata": {}, "outputs": [], "source": [ - "def modulate(data, nbits=5, code=29):\n", + "def modulate(data, nbits=5):\n", " # 0, 1 -> -1, 1\n", - " mask = gold(nbits)[code]*2 - 1\n", + " mask = np.array(gold(nbits))*2 - 1\n", " \n", - " # same here\n", - " data_centered = (data*2 - 1)\n", - " return (mask[:, np.newaxis] @ data_centered[np.newaxis, :] + 1).T.flatten() //2" + " sel = mask[data>>1]\n", + " data_lsb_centered = ((data&1)*2 - 1)\n", + "\n", + " return (np.multiply(sel, np.tile(data_lsb_centered, (2**nbits-1, 1)).T).flatten() + 1) // 2" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(31,) (31,)\n" + ] + }, + { + "data": { + "text/plain": [ + "array([-1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1,\n", + " 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1,\n", + " 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1,\n", + " 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1,\n", + " -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1,\n", + " 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1,\n", + " 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1,\n", + " -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1,\n", + " -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = np.array(list(range(16)))\n", + "\n", + "mask = np.array(gold(5))*2 - 1\n", + " \n", + "sel = mask[data>>1]\n", + "data_lsb_centered = ((data&1)*2 - 1)\n", + "mask.shape, data.shape, sel.shape\n", + "\n", + "#fig, ax = plt.subplots()\n", + "#ax.plot(\n", + "np.multiply(sel, np.tile(data_lsb_centered, (2**5-1, 1)).T).flatten()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, "outputs": [], "source": [ - "def correlate(sequence, nbits=5, code=29, decimation=1, mask_filter=lambda x: x):\n", - " # 0, 1 -> -1, 1\n", - " mask = mask_filter(np.repeat(gold(nbits)[code]*2 -1, decimation))\n", - " # center\n", + "def correlate(sequence, nbits=5, decimation=1, mask_filter=lambda x: x):\n", + " mask = np.tile(np.array(gold(nbits))[:,:,np.newaxis]*2 - 1, (1, 1, decimation)).reshape((2**nbits + 1, (2**nbits-1) * decimation))\n", + "\n", " sequence -= np.mean(sequence)\n", - " return np.correlate(sequence, mask, mode='full')" + " \n", + " return np.array([np.correlate(sequence, row, mode='full') for row in mask])" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ + "(31,) (31,)\n", + "(31,) (31,)\n", + "shapes (1240,) (1240,)\n", + "(31,) (31,)\n", + "mask (33, 310)\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "182fd5ac86e74ad299a67e5f1d0b2b2b", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ "(31,) (31,)\n" ] }, { "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7fcfd6c90070>" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nbits = 5\n", + "decimation = 10\n", + "\n", + "foo = np.repeat(modulate(np.array(list(range(4))), nbits).astype(float), decimation)\n", + "bar = np.repeat(modulate(np.array(list(range(4))), nbits) * 2.0 - 1, decimation) * 1e-3\n", + "print('shapes', foo.shape, bar.shape)\n", + "\n", + "mask = np.tile(np.array(gold(nbits))[:,:,np.newaxis]*2 - 1, (1, 1, decimation)).reshape((2**nbits + 1, (2**nbits-1) * decimation))\n", + "print('mask', mask.shape)\n", + "\n", + "fig, (ax1, ax2) = plt.subplots(2, figsize=(16, 5))\n", + "fig.tight_layout()\n", + "corr_m = np.array([np.correlate(foo, row, mode='full') for row in mask])\n", + "#corr_m = np.array([row for row in mask])\n", + "ax1.matshow(corr_m, aspect='auto')\n", + "#ax.matshow(foo.reshape(32, 31)[::2,:])\n", + "ax2.matshow(correlate(bar, decimation=decimation), aspect='auto')" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "c99513c0fb7f4b138367186127e379cf", + "model_id": "4cb2661eebb84478b06d285166ec13bc", "version_major": 2, "version_minor": 0 }, @@ -165,29 +272,43 @@ "name": "stdout", "output_type": "stream", "text": [ + "(31,) (31,)\n", "(31,) (31,)\n" ] }, { "data": { "text/plain": [ - "[<matplotlib.lines.Line2D at 0x7f8fce86df40>]" + "<matplotlib.image.AxesImage at 0x7fcfd6c6cfa0>" ] }, - "execution_count": 8, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "foo = modulate(np.array([0, 1, 0, 0, 1, 1, 1, 0])).astype(float)\n", - "fig, ax = plt.subplots()\n", - "ax.plot(correlate(foo))" + "decimation = 10\n", + "\n", + "fig, (ax1, ax2) = plt.subplots(2, figsize=(12, 5))\n", + "fig.tight_layout()\n", + "\n", + "#mask = np.tile(np.array(gold(nbits))[:,:,np.newaxis]*2 - 1, (1, 1, decimation)).reshape((2**nbits + 1, (2**nbits-1) * decimation))\n", + "#mask_stretched = np.tile(np.array(gold(nbits))[:,:,np.newaxis]*2 - 1, (1, 1, 1)).reshape((2**nbits + 1, (2**nbits-1) * 1))\n", + "\n", + "#ax1.matshow(mask)\n", + "#ax2.matshow(mask_stretched, aspect='auto')\n", + "\n", + "foo = np.repeat(modulate(np.array(list(range(4)))).astype(float), 1).reshape((4, 31))\n", + "foo_stretched = np.repeat(modulate(np.array(list(range(4)))).astype(float), 10).reshape(4, 310)\n", + "\n", + "ax1.matshow(foo)\n", + "ax2.matshow(foo_stretched, aspect='auto')" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -200,7 +321,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "93658d824ced42e5b1107501398234b4", + "model_id": "a2e2f747193b478bbfa792a0995ad4ed", "version_major": 2, "version_minor": 0 }, @@ -222,10 +343,10 @@ { "data": { "text/plain": [ - "(2.0, 0.944245383185962)" + "(2.0, 1.0234353995297893)" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -269,7 +390,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -289,7 +410,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 96, "metadata": {}, "outputs": [ { @@ -297,8 +418,6 @@ "output_type": "stream", "text": [ "(31,) (31,)\n", - "(31,) (31,)\n", - "(31,) (31,)\n", "(31,) (31,)\n" ] }, @@ -306,14 +425,14 @@ "name": "stderr", "output_type": "stream", "text": [ - "<ipython-input-76-c15a6a1f5988>:27: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", - " fig, ((ax1, ax3, ax5), (ax2, ax4, ax6)) = plt.subplots(2, 3, figsize=(16, 9))\n" + "<ipython-input-96-b3aae757ccad>:33: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", + " fig, ((ax1, ax3), (ax2, ax4)) = plt.subplots(2, 2, figsize=(16, 9))\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "c24adc84c7294295a47a58aa7d5914f9", + "model_id": "246c19a3c1424e7eb0b675ff060ea5b3", "version_major": 2, "version_minor": 0 }, @@ -327,24 +446,30 @@ { "data": { "text/plain": [ - "(0.001, 0.010294564)" + "(0.002, 0.013899708)" ] }, - "execution_count": 76, + "execution_count": 96, "metadata": {}, "output_type": "execute_result" } ], "source": [ "decimation = 10\n", - "signal_amplitude = 1.0e-3\n", + "signal_amplitude = 2.0e-3\n", "nbits = 5\n", "\n", "#test_data = np.random.randint(0, 2, 100)\n", - "test_data = np.array([0, 1, 0, 0, 1, 1, 1, 0])\n", + "#test_data = np.array([0, 1, 0, 0, 1, 1, 1, 0])\n", + "#test_data = np.random.RandomState(seed=0).randint(0, 2 * (2**nbits), 64)\n", + "#test_data = np.random.RandomState(seed=0).randint(0, 8, 64)\n", + "#test_data = np.array(list(range(8)) * 8)\n", + "#test_data = np.array([0, 1] * 32)\n", + "test_data = np.array(list(range(64)))\n", "\n", "foo = np.repeat(modulate(test_data, nbits) * 2.0 - 1, decimation) * signal_amplitude\n", "noise = np.resize(mains_noise, len(foo))\n", + "#noise = 0\n", "\n", "sosh = sig.butter(3, 0.01, btype='highpass', output='sos', fs=decimation)\n", "sosl = sig.butter(3, 0.8, btype='lowpass', output='sos', fs=decimation)\n", @@ -352,9 +477,9 @@ "filtered = sig.sosfilt(sosh, foo + noise)\n", "\n", "cor1 = correlate(foo + noise, nbits=nbits, decimation=decimation)\n", - "cor2 = correlate(filtered, nbits=nbits, decimation=decimation)\n", + "#cor2 = correlate(filtered, nbits=nbits, decimation=decimation)\n", "\n", - "cor2_pe = correlate(filtered, nbits=nbits, decimation=decimation, mask_filter=lambda mask: sig.sosfilt(sosh, sig.sosfiltfilt(sosl, mask)))\n", + "#cor2_pe = correlate(filtered, nbits=nbits, decimation=decimation, mask_filter=lambda mask: sig.sosfilt(sosh, sig.sosfiltfilt(sosl, mask)))\n", "\n", "sosn = sig.butter(12, 4, btype='highpass', output='sos', fs=decimation)\n", "#cor1_flt = sig.sosfilt(sosn, cor1)\n", @@ -362,7 +487,7 @@ "#cor1_flt = cor1[1:] - cor1[:-1]\n", "#cor2_flt = cor2[1:] - cor2[:-1]\n", "\n", - "fig, ((ax1, ax3, ax5), (ax2, ax4, ax6)) = plt.subplots(2, 3, figsize=(16, 9))\n", + "fig, ((ax1, ax3), (ax2, ax4)) = plt.subplots(2, 2, figsize=(16, 9))\n", "fig.tight_layout()\n", "\n", "ax1.plot(foo + noise)\n", @@ -373,13 +498,14 @@ "ax2.plot(foo)\n", "ax2.set_title('filtered')\n", "\n", - "ax3.plot(cor1)\n", + "ax3.plot(cor1.T)\n", "ax3.set_title('corr raw')\n", "ax3.grid()\n", "\n", - "ax4.plot(cor2)\n", - "ax4.set_title('corr filtered')\n", - "ax4.grid()\n", + "#ax4.plot(cor2[:4].T)\n", + "#ax4.set_title('corr filtered')\n", + "#ax4.grid()\n", + "ax4.matshow(cor1, aspect='auto')\n", "\n", "#ax5.plot(cor1_flt)\n", "#ax5.set_title('corr raw (highpass)')\n", @@ -389,9 +515,9 @@ "#ax6.set_title('corr filtered (highpass)')\n", "#ax6.grid()\n", "\n", - "ax6.plot(cor2_pe)\n", - "ax6.set_title('corr filtered w/ mask preemphasis')\n", - "ax6.grid()\n", + "#ax6.plot(cor2_pe[:4].T)\n", + "#ax6.set_title('corr filtered w/ mask preemphasis')\n", + "#ax6.grid()\n", "\n", "rms = lambda x: np.sqrt(np.mean(np.square(x)))\n", "rms(foo), rms(noise)" @@ -399,13 +525,13 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "1c8e27744cd0482782fa0d65ed550ba6", + "model_id": "c08b2a1dbdef429eb22b598bd3dc0146", "version_major": 2, "version_minor": 0 }, @@ -426,10 +552,10 @@ { "data": { "text/plain": [ - "[<matplotlib.lines.Line2D at 0x7f8fc2cab1f0>]" + "[<matplotlib.lines.Line2D at 0x7fcfd1635700>]" ] }, - "execution_count": 21, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -449,13 +575,13 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "483d7acbb9604c9c93533d342d6068ad", + "model_id": "20117316e02548a99386c39e45e71ef1", "version_major": 2, "version_minor": 0 }, @@ -474,14 +600,15 @@ ] }, { - "data": { - "text/plain": [ - "[<matplotlib.lines.Line2D at 0x7f8fc2679310>]" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" + "ename": "NameError", + "evalue": "name 'cor2_pe' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m<ipython-input-15-f158dfc14cca>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0msosh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbutter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0.1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'highpass'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moutput\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'sos'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdecimation\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0msosl\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbutter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0.8\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'lowpass'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moutput\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'sos'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdecimation\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m \u001b[0mcor2_pe_flt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msosfilt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msosh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcor2_pe\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 11\u001b[0m \u001b[0mcor2_pe_flt2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msosfilt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msosh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msosfiltfilt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msosl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcor2_pe\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'cor2_pe' is not defined" + ] } ], "source": [ @@ -506,21 +633,21 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "<ipython-input-77-478546893e6f>:1: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", + "<ipython-input-57-3e7dc7c98d30>:1: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", " fig, ax = plt.subplots()\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "298c99e458364426829979eeaf01af6e", + "model_id": "25fe274dea83415491fd7f86d38188d7", "version_major": 2, "version_minor": 0 }, @@ -534,38 +661,38 @@ { "data": { "text/plain": [ - "[<matplotlib.lines.Line2D at 0x7f8f9968fa00>]" + "[<matplotlib.lines.Line2D at 0x7fcf84cb4a60>]" ] }, - "execution_count": 77, + "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, ax = plt.subplots()\n", - "nonlinear_distance = lambda x: 100**(2*np.abs(0.5-x%1)) / (np.abs(x)+7)**2\n", + "nonlinear_distance = lambda x: 100**(2*np.abs(0.5-x%1)) / (np.abs(x)+3)**2\n", "x = np.linspace(-1.5, 5.5, 10000)\n", "ax.plot(x, nonlinear_distance(x))" ] }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 97, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "<ipython-input-78-ad8374b3e684>:9: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", - " fig, (ax1, ax2, ax3) = plt.subplots(3, figsize=(12, 12))\n" + "<ipython-input-97-2d2c2f814215>:11: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", + " fig, (ax1, ax3) = plt.subplots(2, figsize=(12, 5))\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "126c195977aa4639a8026e0a857a8ab8", + "model_id": "b083c661b5b441d6b7fc45201faa0576", "version_major": 2, "version_minor": 0 }, @@ -577,127 +704,178 @@ "output_type": "display_data" }, { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "5a40fd3c41814b5f99e9f452c8923db4", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(FloatSlider(value=10.0, description='w', max=30.0, min=-10.0), Output()), _dom_classes=(…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "[<matplotlib.lines.Line2D at 0x7f8fa59086d0>]" - ] - }, - "execution_count": 78, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "cor_an (33, 20149)\n", + "cwt_res (33, 20149)\n", + "th (33, 20149)\n", + "[((33,), (33,)), ((33,), (33,)), ((33,), (33,)), ((33,), (33,)), ((33,), (33,))]\n", + "peaks: 180\n", + "avg_peak 1.058897833824206\n", + "skipped 3 symbols at 5889.0\n", + "skipped 2 symbols at 8369.0\n", + "skipped 2 symbols at 14568.5\n", + "skipped 2 symbols at 16739.0\n", + "decoding [ref|dec]:\n", + " -1| -1 ✔ 1| 1 ✔ 2| 2 ✔ 3| 3 ✔ 4| 4 ✔ 5| 5 ✔ 6| 6 ✔ 7| 7 ✔ \n", + " 8| 8 ✔ 9| 9 ✔ 10| 10 ✔ 11| 11 ✔ 12| 12 ✔ 13| 13 ✔ 14| 14 ✔ 15| 15 ✔ \n", + " 16| -1 ✘ 17| -1 ✘ 18| 18 ✔ 19| 19 ✔ 20| 20 ✔ 21| 21 ✔ 22| 22 ✔ 23| 23 ✔ \n", + " 24| 24 ✔ 25| -1 ✘ 26| 26 ✔ 27| 27 ✔ 28| 28 ✔ 29| 29 ✔ 30| 30 ✔ 31| 31 ✔ \n", + " 32| 32 ✔ 33| 33 ✔ 34| 34 ✔ 35| 35 ✔ 36| 36 ✔ 37| 37 ✔ 38| 38 ✔ 39| 39 ✔ \n", + " 40| 40 ✔ 41| 41 ✔ 42| 42 ✔ 43| 43 ✔ 44| 44 ✔ 45| -1 ✘ 46| 46 ✔ 47| 47 ✔ \n", + " 48| 48 ✔ 49| 49 ✔ 50| 50 ✔ 51| 51 ✔ 52| -1 ✘ 53| 53 ✔ 54| 54 ✔ 55| 55 ✔ \n", + " 56| 56 ✔ 57| 57 ✔ 58| 58 ✔ 59| 59 ✔ 60| 60 ✔ 61| 61 ✔ 62| 62 ✔ 63| 56 ✘ \n", + "Symbol error rate r=0.09375\n" + ] } ], "source": [ - "threshold_factor = 2.0\n", + "threshold_factor = 4.0\n", "power_avg_width = 1024\n", + "max_lookahead = 6.5\n", "\n", "bit_period = (2**nbits) * decimation\n", "peak_group_threshold = 0.1 * bit_period\n", "\n", "cor_an = cor1\n", "\n", - "fig, (ax1, ax2, ax3) = plt.subplots(3, figsize=(12, 12))\n", + "#fig, (ax1, ax2, ax3) = plt.subplots(3, figsize=(12, 12))\n", + "fig, (ax1, ax3) = plt.subplots(2, figsize=(12, 5))\n", "fig.tight_layout()\n", "\n", - "ax1.matshow(sig.cwt(cor_an, sig.ricker, np.arange(1, 31)), aspect='auto')\n", + "#ax1.matshow(sig.cwt(cor_an, sig.ricker, np.arange(1, 31)), aspect='auto')\n", "\n", - "for i in np.linspace(1, 10, 19):\n", - " offx = 5*i\n", - " ax2.plot(sig.cwt(cor_an, sig.ricker, [i]).flatten() + offx, color='red')\n", - "\n", - " ax2.text(-50, offx, f'{i:.1f}',\n", - " horizontalalignment='right',\n", - " verticalalignment='center',\n", - " color='black')\n", - "ax2.grid()\n", + "#for i in np.linspace(1, 10, 19):\n", + "# offx = 5*i\n", + "# ax2.plot(sig.cwt(cor_an, sig.ricker, [i]).flatten() + offx, color='red')\n", + "#\n", + "# ax2.text(-50, offx, f'{i:.1f}',\n", + "# horizontalalignment='right',\n", + "# verticalalignment='center',\n", + "# color='black')\n", + "#ax2.grid()\n", "\n", "ax3.grid()\n", + "print('cor_an', cor_an.shape)\n", + "\n", + "cwt_res = np.array([ sig.cwt(row, sig.ricker, [0.73 * decimation]).flatten() for row in cor_an ])\n", + "ax3.plot(cwt_res.T)\n", + "#def update(w = 1.0 * decimation):\n", + "# line.set_ydata(sig.cwt(cor_an, sig.ricker, [w]).flatten())\n", + "# fig.canvas.draw_idle()\n", + "#ipywidgets.interact(update)\n", "\n", - "cwt_res = sig.cwt(cor_an, sig.ricker, [7.3]).flatten()\n", - "line, = ax3.plot(cwt_res)\n", - "def update(w=10.0):\n", - " line.set_ydata(sig.cwt(cor_an, sig.ricker, [w]).flatten())\n", - " fig.canvas.draw_idle()\n", - "ipywidgets.interact(update)\n", + "print('cwt_res', cwt_res.shape)\n", + "th = np.array([ np.convolve(np.abs(row), np.ones((power_avg_width,))/power_avg_width, mode='same') for row in cwt_res ])\n", + "ax1.plot(th.T)\n", + "print('th', th.shape)\n", "\n", + "def compare_th(elem):\n", + " idx, (th, val) = elem\n", + " #print('compare_th:', th.shape, val.shape)\n", + " return np.any(np.abs(val) > th*threshold_factor)\n", "\n", - "th = np.convolve(np.abs(cwt_res), np.ones((power_avg_width,))/power_avg_width, mode='same')\n", - "peaks = [ list(group) for val, group in itertools.groupby(enumerate(zip(th, cwt_res)), lambda elem: abs(elem[1][1]) > elem[1][0]*threshold_factor) if val ]\n", + "print([ (a.shape, b.shape) for a, b in zip(th.T, cwt_res.T) ][:5])\n", + "\n", + "peaks = [ list(group) for val, group in itertools.groupby(enumerate(zip(th.T, cwt_res.T)), compare_th) if val ]\n", + "print('peaks:', len(peaks))\n", "peak_group = []\n", "for group in peaks:\n", " pos = np.mean([idx for idx, _val in group])\n", - " pol = np.mean([val for _idx, (_th, val) in group])\n", + " pol = np.mean([max(val.min(), val.max(), key=abs) for _idx, (_th, val) in group])\n", + " pol_idx = np.argmax(np.bincount([ np.argmax(np.abs(val)) for _idx, (_th, val) in group ]))\n", + " #print(f'group', pos, pol, pol_idx)\n", + " #for pol, (_idx, (_th, val)) in zip([max(val.min(), val.max(), key=abs) for _idx, (_th, val) in group], group):\n", + " # print(' ', pol, val)\n", + " ax3.axvline(pos, color='cyan', alpha=0.3)\n", " \n", " if not peak_group or pos - peak_group[-1][1] > peak_group_threshold:\n", " if peak_group:\n", " peak_pos = peak_group[-1][3]\n", - " ax3.axvline(peak_pos, color='red', alpha=0.3)\n", + " ax3.axvline(peak_pos, color='red', alpha=0.6)\n", " #ax3.text(peak_pos-20, 2.0, f'{0 if pol < 0 else 1}', horizontalalignment='right', verticalalignment='center', color='black')\n", " \n", - " peak_group.append((pos, pos, pol, pos))\n", + " peak_group.append((pos, pos, pol, pos, pol_idx))\n", " #ax3.axvline(pos, color='cyan', alpha=0.5)\n", " \n", " else:\n", - " group_start, last_pos, last_pol, peak_pos = peak_group[-1]\n", + " group_start, last_pos, last_pol, peak_pos, last_pol_idx = peak_group[-1]\n", " \n", " if abs(pol) > abs(last_pol):\n", " #ax3.axvline(pos, color='magenta', alpha=0.5)\n", - " peak_group[-1] = (group_start, pos, pol, pos)\n", + " peak_group[-1] = (group_start, pos, pol, pos, pol_idx)\n", " else:\n", " #ax3.axvline(pos, color='blue', alpha=0.5)\n", - " peak_group[-1] = (group_start, pos, last_pol, peak_pos)\n", + " peak_group[-1] = (group_start, pos, last_pol, peak_pos, last_pol_idx)\n", + "\n", + "avg_peak = np.mean(np.abs(np.array([last_pol for _1, _2, last_pol, _3, _4 in peak_group])))\n", + "print('avg_peak', avg_peak)\n", "\n", + "noprint = lambda *args, **kwargs: None\n", "def mle_decode(peak_groups, print=print):\n", - " peak_groups = [ (pos, pol) for _1, _2, pol, pos in peak_groups ]\n", - " candidates = [ [(pos, pol)] for pos, pol in peak_groups if pos < bit_period*1.5 ]\n", + " peak_groups = [ (pos, pol, idx) for _1, _2, pol, pos, idx in peak_groups ]\n", + " candidates = [ (0, [(pos, pol, idx)]) for pos, pol, idx in peak_groups if pos < bit_period*2.5 ]\n", " \n", " while candidates:\n", " chain_candidates = []\n", - " for chain in candidates:\n", - " pos, ampl = chain[-1]\n", - " score_fun = lambda pos, npos, npol: abs(npol)/2 + nonlinear_distance((npos-pos)/bit_period)\n", - " next_candidates = sorted([ (score_fun(pos, npos, npol), npos, npol) for npos, npol in peak_groups if pos < npos < pos + bit_period*3.5 ], reverse=True)\n", + " for chain_score, chain in candidates:\n", + " pos, ampl, _idx = chain[-1]\n", + " score_fun = lambda pos, npos, npol: abs(npol)/avg_peak + nonlinear_distance((npos-pos)/bit_period)\n", + " next_candidates = sorted([ (score_fun(pos, npos, npol), npos, npol, nidx) for npos, npol, nidx in peak_groups if pos < npos < pos + bit_period*max_lookahead ], reverse=True)\n", " \n", " print(f' candidates for {pos}, {ampl}:')\n", - " for score, npos, npol in next_candidates:\n", - " print(f' {score:.4f} {npos:.2f} {npol:.2f}')\n", + " for score, npos, npol, nidx in next_candidates:\n", + " print(f' {score:.4f} {npos:.2f} {npol:.2f} {nidx:.2f}')\n", " \n", - " if len(cor_an) - pos < 1.5*bit_period or not next_candidates:\n", - " score = sum(score_fun(opos, npos, npol) for (opos, _opol), (npos, npol) in zip(chain[:-1], chain[1:])) / (len(chain)-1)\n", + " nch, cor_len = cor_an.shape\n", + " if cor_len - pos < 1.5*bit_period or not next_candidates:\n", + " score = sum(score_fun(opos, npos, npol) for (opos, _opol, _oidx), (npos, npol, _nidx) in zip(chain[:-1], chain[1:])) / len(chain)\n", " yield score, chain\n", " \n", " else:\n", - " for score, npos, npol in next_candidates[:3]:\n", + " print('extending')\n", + " for score, npos, npol, nidx in next_candidates[:3]:\n", " if score > 0.5:\n", - " chain_candidates.append((score, chain + [(npos, npol)]))\n", + " new_chain_score = chain_score * 0.9 + score * 0.1\n", + " chain_candidates.append((new_chain_score, chain + [(npos, npol, nidx)]))\n", " print('chain candidates:')\n", " for score, chain in sorted(chain_candidates, reverse=True):\n", - " print(' ', [(score, [(f'{pos:.2f}', f'{pol:.2f}') for pos, pol in chain])])\n", - " candidates = [ chain for _score, chain in sorted(chain_candidates, reverse=True)[:10] ]\n", + " print(' ', [(score, [(f'{pos:.2f}', f'{pol:.2f}') for pos, pol, _idx in chain])])\n", + " candidates = [ (chain_score, chain) for chain_score, chain in sorted(chain_candidates, reverse=True)[:10] ]\n", "\n", - "res = sorted(mle_decode(peak_group, print=lambda *args, **kwargs: None), reverse=True)\n", + "res = sorted(mle_decode(peak_group, print=noprint), reverse=True)\n", "#for i, (score, chain) in enumerate(res):\n", "# print(f'Chain {i}@{score:.4f}: {chain}')\n", "(_score, chain), *_ = res\n", - "for pos, pol in chain:\n", - " ax3.axvline(pos, color='blue', alpha=0.5)\n", - " ax3.text(pos-20, 0.0, f'{0 if pol < 0 else 1}', horizontalalignment='right', verticalalignment='center', color='black')\n", "\n", - "ax3.plot(th)" + "def viz(chain):\n", + " last_pos = None\n", + " for pos, pol, nidx in chain:\n", + " if last_pos:\n", + " delta = int(round((pos - last_pos) / bit_period))\n", + " if delta > 1:\n", + " print(f'skipped {delta} symbols at {pos}')\n", + " for i in range(delta-1):\n", + " yield None\n", + " ax3.axvline(pos, color='blue', alpha=0.5)\n", + " decoded = nidx*2 + (0 if pol < 0 else 1)\n", + " yield decoded\n", + " ax3.text(pos-20, 0.0, f'{decoded}', horizontalalignment='right', verticalalignment='center', color='black')\n", + "\n", + " last_pos = pos\n", + "\n", + "decoded = list(viz(chain))\n", + "print('decoding [ref|dec]:')\n", + "failures = 0\n", + "for i, (ref, found) in enumerate(itertools.zip_longest(test_data, decoded)):\n", + " print(f'{ref or -1:>3d}|{found or -1:>3d} {\"✔\" if ref==found else \"✘\"}', end=' ')\n", + " if ref != found:\n", + " failures += 1\n", + " if i%8 == 7:\n", + " print()\n", + "print(f'Symbol error rate r={failures/len(test_data)}')\n", + "#ax3.plot(th)" ] }, { |