diff --git a/simulations/08_beacon_sync.ipynb b/simulations/08_beacon_sync.ipynb index a87bd25..2ae1b54 100644 --- a/simulations/08_beacon_sync.ipynb +++ b/simulations/08_beacon_sync.ipynb @@ -160,23 +160,54 @@ " return signal, position\n", "\n", "def sin_delay(f, t, t_delay=0, phase=0):\n", - " return np.cos(2*np.pi*f * (t - t_delay) + phase)" + " return np.cos(2*np.pi*f * (t + t_delay) + phase)\n", + "\n", + "def annotate_width(ax, name, x1, x2, y, text_kw={}, arrow_kw={}):\n", + " default_arrow_kw = dict(\n", + " xy = (x1, y),\n", + " xytext = (x2,y),\n", + " arrowprops = dict(\n", + " arrowstyle=\"<->\",\n", + " shrinkA=False,\n", + " shrinkB=False\n", + " ),\n", + " )\n", + "\n", + " default_text_kw = dict(\n", + " va='bottom',\n", + " ha='center',\n", + " xy=((x1+x2)/2, y)\n", + " )\n", + "\n", + " an1 = ax.annotate(\"\", **{**default_arrow_kw, **arrow_kw})\n", + " an2 = ax.annotate(name, **{**default_text_kw, **text_kw})\n", + "\n", + " return [an1, an2]\n", + "\n", + "def time2phase(time, frequency=1):\n", + " return 2*np.pi*frequency*time\n", + "\n", + "def phase2time(phase, frequency=1):\n", + " return phase/(2*np.pi*frequency)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Beacon initial [ns]: 897.9591836734695\n", - "Beacon initial [idx]: 4489.795918367347\n", - "Beacon difference [ns]: 35.71428571428571\n", - "Impulse offsets [ns]: [ 65.6 188.4]\n", - "Time difference peaks [ns]: 122.8\n" + "Beacon period [ns]: 14.285714285714285\n", + "Beacon initial [ns]: 9.0\n", + "Beacon initial [phase]: 3.9584067435231396\n", + "Beacon initial [idx]: 45.00000000000001\n", + "Beacon difference [ns]: -5.714285714285714\n", + "Beacon difference [phase]: -2.5132741228718345\n", + "Impulse offsets [ns]: [36.4 75.8]\n", + "Time difference peaks [ns]: 39.400000000000006\n" ] } ], @@ -187,7 +218,7 @@ "\n", "band = (30, 80) # MHz\n", "samplerate = 5000 # MHz\n", - "timelength = 0.3 # us\n", + "timelength = 0.1 # us\n", "\n", "time = np.arange(0, timelength, 1/samplerate)\n", "\n", @@ -197,19 +228,23 @@ "else: # under band\n", " f_beacon = 20 # MHz\n", "\n", - "beacon_time_offset = 2.5/f_beacon # us\n", "beacon_amplitude = 0.1\n", - "beacon_init_phase = 2*np.pi* 4.4/ns/f_beacon\n", + "beacon_init_phase = time2phase(9*ns, f_beacon)\n", + "beacon_phase_offset = -0.8*np.pi\n", "\n", "beacons = np.array([\n", " beacon_amplitude * sin_delay(f_beacon, time, phase=beacon_init_phase, t_delay=0),\n", - " beacon_amplitude * sin_delay(f_beacon, time, phase=beacon_init_phase, t_delay=beacon_time_offset)\n", + " beacon_amplitude * sin_delay(f_beacon, time, phase=beacon_init_phase+beacon_phase_offset, t_delay=0)\n", "])\n", "\n", + "\n", "# generate impulses\n", "impulses = []\n", "impulses_offsets = []\n", - "impulses_def_offsets = [(0.05*samplerate,0.2*samplerate)] # random offsets in interval\n", + "impulses_def_offsets = [\n", + " (0.25*len(time),0.5*len(time)),\n", + " (0.7*len(time),0.8*len(time)),\n", + " ]# random offsets in interval\n", "for i in range(2):\n", " offset = None\n", " if impulses_def_offsets:\n", @@ -228,16 +263,19 @@ "\n", "impulses = np.asarray(impulses)\n", "impulses_offsets = np.asarray(impulses_offsets)\n", - "print(\"Beacon initial [ns]:\", beacon_init_phase/(2*np.pi*f_beacon) /ns)\n", - "print(\"Beacon initial [idx]:\", beacon_init_phase/(2*np.pi*f_beacon)*samplerate)\n", - "print(\"Beacon difference [ns]:\", beacon_time_offset/ns)\n", + "print(\"Beacon period [ns]:\", 1/f_beacon/ns)\n", + "print(\"Beacon initial [ns]:\", phase2time(beacon_init_phase, f_beacon) /ns)\n", + "print(\"Beacon initial [phase]:\", beacon_init_phase)\n", + "print(\"Beacon initial [idx]:\", phase2time(beacon_init_phase, f_beacon)*samplerate)\n", + "print(\"Beacon difference [ns]:\", phase2time(beacon_phase_offset, f_beacon)/ns)\n", + "print(\"Beacon difference [phase]:\", beacon_phase_offset)\n", "print(\"Impulse offsets [ns]:\", impulses_offsets[:,0]/ns)\n", - "print(\"Time difference peaks [ns]: {}\".format( (impulses_offsets[1,0]-impulses_offsets[0,0])/ns ))" + "print(\"Time difference Impulses [ns]: {}\".format( (impulses_offsets[1,0]-impulses_offsets[0,0])/ns ))" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -246,12 +284,12 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 31, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -266,33 +304,70 @@ "# Make a figure showing two signals with a beacon per signal\n", "fig, axes = plt.subplots(3,1, sharex=True, figsize=(12,4))\n", "axes[-1].set_xlabel(\"Time [ns]\")\n", + "axes[-1].set_yticks([],[])\n", "for i in range(0, 2):\n", - " axes[i].set_ylabel(\"Antenna {:d}\".format(i))\n", + " axes[i].set_yticks([],[])\n", + " axes[i].set_ylabel(\"Antenna {:d}\".format(i+1))\n", " axes[i].plot(time/ns, impulses[i])\n", " axes[i].plot(time/ns, beacons[i], marker='.')\n", - " axes[i].plot(time/ns, full_signals[i])\n", + " if not True:\n", + " axes[i].plot(time/ns, full_signals[i])\n", + "\n", "\n", "# indicate timing of pulses\n", "for i, impulse_offset in enumerate(impulses_offsets):\n", " kwargs = dict(color=['r','g'][i])\n", " [ax.axvline(impulse_offset/ns, **kwargs) for ax in (axes[i], axes[-1])]\n", "\n", - "# indicate timing of the beacons\n", - "for i in range(0,2):\n", - " kwargs = dict(color=['r','g'][i], ls=(0, (3,1)))\n", - " tick_kwargs = dict(color='k', alpha=0.2)\n", "\n", - " tmp_beacon_offset = (beacon_init_phase / (2*np.pi*f_beacon) + i*beacon_time_offset) % (1/f_beacon)\n", + "# indicate timing of the beacons\n", + "# and annotate ticks and impulse widths\n", + "tmp_beacon_phases = beacon_init_phase + np.arange(0,2)*beacon_phase_offset\n", + "tmp_beacon_offsets = (tmp_beacon_phases % (2*np.pi))/ (2*np.pi*f_beacon)\n", + "for i in range(0,2):\n", + " kwargs = dict(color=['r','g'][i], ls=(0, (3,2)))\n", + " tick_kwargs = dict(color='k', alpha=0.2)\n", + " multiplier_name = ['m','n']\n", + "\n", " # indicate every period of the beacon\n", - " beacon_ticks = [(n)*1/f_beacon + tmp_beacon_offset for n in range(1+int((time[-1] - time[0]) * f_beacon))]\n", + " beacon_ticks = [(n)*1/f_beacon + tmp_beacon_offsets[i] for n in range(1+int((time[-1] - time[0]) * f_beacon))]\n", " \n", " [axes[i].axvline(tick/ns, **{**kwargs, **tick_kwargs}) for tick in beacon_ticks]\n", "\n", " # reference period in beacon\n", - " [ax.axvline(tmp_beacon_offset/ns, **kwargs) for ax in (axes[i], axes[-1])]\n", + " [ax.axvline(tmp_beacon_offsets[i]/ns, **kwargs) for ax in (axes[i], axes[-1])]\n", + "\n", + " # annotate width between impulse and closest beacon tick\n", + " # and closest beacon tick and reference tick\n", + " closest_beacon_tick_id = np.argmin(np.abs(beacon_ticks-impulses_offsets[i]))\n", + " if closest_beacon_tick_id != 0 and beacon_ticks[closest_beacon_tick_id] > impulses_offsets[i]:\n", + " closest_beacon_tick_id -= 1\n", + " closest_beacon_tick = beacon_ticks[closest_beacon_tick_id]\n", + "\n", + " annotate_width(axes[i], f\"$A_{i+1}$\", closest_beacon_tick/ns, impulses_offsets[i]/ns, 0.7)\n", + " annotate_width(axes[i], f\"$B_{i+1}={multiplier_name[i]}T$\", closest_beacon_tick/ns, tmp_beacon_offsets[i]/ns, 0.5)\n", " \n", - "if not True:\n", - " axes[-1].set_xlim(0, 10)" + "\n", + "# annotate width between beacon reference periods\n", + "annotate_width(axes[-1], \"$t_\\phi$\", tmp_beacon_offsets[0]/ns, tmp_beacon_offsets[-1]/ns, 0.4)\n", + "\n", + "# annotate width between pulses\n", + "annotate_width(axes[-1], \"$\\Delta t$\", impulses_offsets[0]/ns, impulses_offsets[-1]/ns, 0.4)\n", + "\n", + "\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$$\n", + "\\Delta t = (A_2 + B_2) - (A_1 + B_1) + t_\\phi\\\\\n", + " = A_2 - A_1 + (B_2 - B_1) + t_\\phi\\\\\n", + " = A_2 - A_1 + (nT - mT) + t_\\phi\\\\\n", + " = \\Delta A + (kT) + t_\\phi \\text{, where $\\Delta A < T$} \\\\\n", + "$$" ] }, { @@ -304,7 +379,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -318,7 +393,7 @@ " \n", " return corr, lags\n", "\n", - "def find_best_lag(sig1, sig2, fix_one_short=True, fix_positive=True, subtract_means=True, **corr_kwargs):\n", + "def find_best_lag(sig1, sig2, fix_one_short=False, fix_positive=False, subtract_means=True, **corr_kwargs):\n", " if subtract_means:\n", " sig1 -= np.mean(sig1)\n", " sig2 -= np.mean(sig2)\n", @@ -384,7 +459,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -401,7 +476,7 @@ "ax.set_title(\"A single beacon period\")\n", "ax.set_xlabel(\"Time [ns]\")\n", "ax.set_ylabel(\"Amplitude\")\n", - "ax.plot(ref_beacon)\n", + "ax.plot(beacon_time/ns,ref_beacon)\n", "fig.show()" ] }, @@ -421,9 +496,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 0.0 0.0\n", - "37 0.0074 3.2546899891190257\n", - "Beacon delays [ns] \\pm k*14.285714285714285ns: [0. 7.4]\n" + "Beacon delays [ns] \\pm k*14.285714285714285ns: [ 0. -5.6]\n" ] } ], @@ -440,9 +513,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 0.0\n", + "1 5.6046012940041905\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Make a figure showing the corrected beacons\n", "fig, ax = plt.subplots(1,1, sharex=True)\n", @@ -453,21 +547,18 @@ "for i, _ in enumerate(beacons):\n", " l = ax.plot(time/ns, beacons[i], label=\"ch {}\".format(i), ls ='--', alpha=0.5)\n", " \n", - " print(i, beacon_phase_delays[i], beacon_time_delays[i])\n", + " print(i, -beacon_phase_delays[i]+(i)*np.pi, )\n", "\n", - " if not True:\n", - " corrected_beacon = sin_delay(f_beacon, time, phase=+beacon_phase_delays[i], t_delay=0)\n", + " if True:\n", + " corrected_beacon = sin_delay(f_beacon, beacon_time, phase=-beacon_phase_delays[i]+(i)*np.pi, t_delay=0)\n", " else:\n", - " corrected_beacon = sin_delay(f_beacon, time, t_delay=beacon_time_delays[i], phase=0)\n", + " corrected_beacon = sin_delay(f_beacon, beacon_time, t_delay=beacon_time_delays[i], phase=0)\n", " \n", - " ax.plot(time/ns, 2*beacon_amplitude*corrected_beacon, label='ch {} corrected'.format(i), color=l[0].get_color())\n", + " ax.plot(beacon_time/ns, 2*beacon_amplitude*corrected_beacon, label='ch {} corrected'.format(i), color=l[0].get_color())\n", " \n", " # indicate start of uncorrected beacons\n", " ax.axvline(beacon_time_delays[i]/ns, color=l[0].get_color())\n", "\n", - "print(\"sum:\", np.sum(beacon_time_delays)/ns)\n", - "print(\"diff:\", np.diff(beacon_time_delays)/ns)\n", - "\n", "ax.legend(ncol=2)\n", "ax.margins(y=0.3)\n", "if True:\n", @@ -526,7 +617,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Beacon Impuls delays: $[ 867.07957239 1416.22996824]$ns\n" + "Beacon Impuls delays: $[-198.54865571 -480.03535747]$ns\n" ] } ], @@ -570,7 +661,7 @@ " ax.set_ylabel(\"Amplitude [au]\")\n", " ax.plot(time, beacon, label=\"ch {}\".format(i))\n", "\n", - "#ax.plot(beacon_time, corrected_beacon, label='phase corrected (overlaps ch 0)')\n", + "ax.plot(beacon_time, corrected_beacon, label='phase corrected (overlaps ch 0)')\n", "\n", "ax.legend()\n", "\n",