From d9b26d16c063aec32b70287ff861a1f23642a9f2 Mon Sep 17 00:00:00 2001 From: jaseg Date: Wed, 4 Mar 2020 17:10:31 +0100 Subject: [PATCH] Fix frequency measurement simulation --- controller/fw/Makefile | 29 +- controller/fw/levmarq/levmarq.c | 250 +++++------ controller/fw/src/freq_meas.c | 71 +++- controller/fw/src/freq_meas.h | 2 +- controller/fw/src/simulation.h | 14 + controller/fw/tools/freq_meas_test.c | 38 +- controller/fw/tools/freq_meas_test_runner.py | 39 ++ lab-windows/Phase Measurement Prototype.ipynb | 396 ++++++++++++++++++ lab-windows/gauss_derivations.ipynb | 184 ++++++++ lab-windows/impl_test_out.json | 1 + lab-windows/rocof_test_data.py | 174 ++++++++ ...of_test_amplitude_and_phase_steps_1kHz.bin | Bin 0 -> 240000 bytes .../rocof_test_amplitude_steps_1kHz.bin | Bin 0 -> 240000 bytes ..._close_interharmonics_and_flicker_1kHz.bin | Bin 0 -> 240000 bytes .../rocof_test_harmonics_1kHz.bin | Bin 0 -> 240000 bytes .../rocof_test_interharmonics_1kHz.bin | Bin 0 -> 240000 bytes .../rocof_test_data/rocof_test_noise_1kHz.bin | Bin 0 -> 240000 bytes .../rocof_test_noise_loud_1kHz.bin | Bin 0 -> 240000 bytes .../rocof_test_off_frequency_1kHz.bin | Bin 0 -> 240000 bytes .../rocof_test_phase_steps_1kHz.bin | Bin 0 -> 240000 bytes .../rocof_test_sweep_phase_steps_1kHz.bin | Bin 0 -> 240000 bytes lab-windows/scratch.ipynb | 167 ++++++++ 22 files changed, 1201 insertions(+), 164 deletions(-) create mode 100644 controller/fw/src/simulation.h create mode 100644 controller/fw/tools/freq_meas_test_runner.py create mode 100644 lab-windows/Phase Measurement Prototype.ipynb create mode 100644 lab-windows/gauss_derivations.ipynb create mode 100644 lab-windows/impl_test_out.json create mode 100644 lab-windows/rocof_test_data.py create mode 100644 lab-windows/rocof_test_data/rocof_test_amplitude_and_phase_steps_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_amplitude_steps_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_close_interharmonics_and_flicker_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_harmonics_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_interharmonics_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_noise_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_noise_loud_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_off_frequency_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_phase_steps_1kHz.bin create mode 100644 lab-windows/rocof_test_data/rocof_test_sweep_phase_steps_1kHz.bin create mode 100644 lab-windows/scratch.ipynb diff --git a/controller/fw/Makefile b/controller/fw/Makefile index a4b8a66..8dfcb1d 100644 --- a/controller/fw/Makefile +++ b/controller/fw/Makefile @@ -46,17 +46,17 @@ FMEAS_ADC_SAMPLING_RATE ?= 1000 FMEAS_ADC_MAX ?= 4096 FMEAS_FFT_LEN ?= 256 FMEAS_FFT_WINDOW ?= gaussian -FMEAS_FFT_WINDOW_SIGMA ?= 8.0 +FMEAS_FFT_WINDOW_SIGMA ?= 16.0 -CC ?= $(PREFIX)gcc -CXX ?= $(PREFIX)g++ -LD ?= $(PREFIX)gcc -AR ?= $(PREFIX)ar -AS ?= $(PREFIX)as -OBJCOPY ?= $(PREFIX)objcopy -OBJDUMP ?= $(PREFIX)objdump -GDB ?= $(PREFIX)gdb +CC := $(PREFIX)gcc +CXX := $(PREFIX)g++ +LD := $(PREFIX)gcc +AR := $(PREFIX)ar +AS := $(PREFIX)as +OBJCOPY := $(PREFIX)objcopy +OBJDUMP := $(PREFIX)objdump +GDB := $(PREFIX)gdb HOST_CC ?= $(HOST_PREFIX)gcc HOST_CXX ?= $(HOST_PREFIX)g++ @@ -75,9 +75,9 @@ LIBSODIUM_DIR_ABS := $(abspath $(LIBSODIUM_DIR)) TINYAES_DIR_ABS := $(abspath $(TINYAES_DIR)) MUSL_DIR_ABS := $(abspath $(MUSL_DIR)) -COMMON_CFLAGS += -I$(OPENCM3_DIR_ABS)/include -Imspdebug/util -Imspdebug/drivers +COMMON_CFLAGS += -I$(OPENCM3_DIR_ABS)/include -Imspdebug/util -Imspdebug/drivers -Ilevmarq COMMON_CFLAGS += -I$(CMSIS_DIR_ABS)/CMSIS/DSP/Include -I$(CMSIS_DIR_ABS)/CMSIS/Core/Include -COMMON_CFLAGS += -I$(abspath musl_include_shims) -Ilevmarq +CFLAGS += -I$(abspath musl_include_shims) COMMON_CFLAGS += -Os -std=gnu11 -g -DSTM32F4 CFLAGS += -mthumb -mcpu=cortex-m4 -mfloat-abi=hard -mfpu=fpv4-sp-d16 @@ -91,7 +91,7 @@ COMMON_CFLAGS += -DFMEAS_FFT_WINDOW_SIGMA=$(FMEAS_FFT_WINDOW_SIGMA) # for musl CFLAGS += -Dhidden= -SIM_CFLAGS += -Isrc +SIM_CFLAGS += -Isrc -lm -DSIMULATION INT_CFLAGS += -Wall -Wextra -Wpedantic -Wshadow -Wimplicit-function-declaration -Wundef INT_CFLAGS += -Wredundant-decls -Wmissing-prototypes -Wstrict-prototypes @@ -112,7 +112,7 @@ LDFLAGS += -L$(OPENCM3_DIR_ABS)/lib -l$(OPENCM3_LIB) $(shell $(CC) -print-libg all: $(BUILDDIR)/$(BINARY) -tests: $(BUILDDIR)/tools/freq_meas_test.elf +tests: $(BUILDDIR)/tools/freq_meas_test OBJS := $(addprefix $(BUILDDIR)/,$(C_SOURCES:.c=.o) $(CXX_SOURCES:.cpp=.o)) @@ -127,7 +127,7 @@ ALL_OBJS += $(BUILDDIR)/generated/fmeas_fft_window.o $(BUILDDIR)/$(BINARY): $(ALL_OBJS) $(LD) -T$(LDSCRIPT) $(COMMON_LDFLAGS) $(LDFLAGS) -o $@ -Wl,-Map=$(BUILDDIR)/src/$*.map $^ -$(BUILDDIR)/tools/freq_meas_test.elf: tools/freq_meas_test.c src/freq_meas.c levmarq/levmarq.c $(BUILDDIR)/generated/fmeas_fft_window.c $(CMSIS_SOURCES) +$(BUILDDIR)/tools/freq_meas_test: tools/freq_meas_test.c src/freq_meas.c levmarq/levmarq.c $(BUILDDIR)/generated/fmeas_fft_window.c $(CMSIS_SOURCES) mkdir -p $(@D) $(HOST_CC) $(COMMON_CFLAGS) $(SIM_CFLAGS) -o $@ $^ @@ -177,6 +177,7 @@ clean: -rm -r $(BUILDDIR)/src -rm -r $(BUILDDIR)/generated -rm $(BUILDDIR)/$(BINARY) + -rm $(BUILDDIR)/tools/freq_meas_test mrproper: clean -rm -r build diff --git a/controller/fw/levmarq/levmarq.c b/controller/fw/levmarq/levmarq.c index bbf00c0..a3a77b5 100644 --- a/controller/fw/levmarq/levmarq.c +++ b/controller/fw/levmarq/levmarq.c @@ -20,6 +20,7 @@ #include #include "levmarq.h" +#include "simulation.h" #define TOL 1e-20f /* smallest value allowed in cholesky_decomp() */ @@ -28,18 +29,20 @@ /* set parameters required by levmarq() to default values */ void levmarq_init(LMstat *lmstat) { - lmstat->max_it = 10000; - lmstat->init_lambda = 0.0001f; - lmstat->up_factor = 10.0f; - lmstat->down_factor = 10.0f; - lmstat->target_derr = 1e-12f; + lmstat->max_it = 10000; + lmstat->init_lambda = 0.0001f; + lmstat->up_factor = 10.0f; + lmstat->down_factor = 10.0f; + lmstat->target_derr = 1e-12f; } +#ifndef SIMULATION float sqrtf(float arg) { float out=NAN; arm_sqrt_f32(arg, &out); return out; } +#endif /* perform least-squares minimization using the Levenberg-Marquardt algorithm. The arguments are as follows: @@ -49,140 +52,147 @@ float sqrtf(float arg) { ny number of measurements to be fit y array of measurements dysq array of error in measurements, squared - (set dysq=NULL for unweighted least-squares) + (set dysq=NULL for unweighted least-squares) func function to be fit grad gradient of "func" with respect to the input parameters fdata pointer to any additional data required by the function lmstat pointer to the "status" structure, where minimization parameters - are set and the final status is returned. + are set and the final status is returned. Before calling levmarq, several of the parameters in lmstat must be set. For default values, call levmarq_init(lmstat). - */ + */ int levmarq(int npar, float *par, int ny, float *y, float *dysq, - float (*func)(float *, int, void *), - void (*grad)(float *, float *, int, void *), - void *fdata, LMstat *lmstat) + float (*func)(float *, int, void *), + void (*grad)(float *, float *, int, void *), + void *fdata, LMstat *lmstat) { - int x,i,j,it,nit,ill; - float lambda,up,down,mult,weight,err,newerr,derr,target_derr; - float h[npar][npar],ch[npar][npar]; - float g[npar],d[npar],delta[npar],newpar[npar]; + int x,i,j,it,nit,ill; + float lambda,up,down,mult,weight,err,newerr,derr,target_derr; + float h[npar][npar],ch[npar][npar]; + float g[npar],d[npar],delta[npar],newpar[npar]; - nit = lmstat->max_it; - lambda = lmstat->init_lambda; - up = lmstat->up_factor; - down = 1/lmstat->down_factor; - target_derr = lmstat->target_derr; - weight = 1; - derr = newerr = 0; /* to avoid compiler warnings */ + nit = lmstat->max_it; + lambda = lmstat->init_lambda; + up = lmstat->up_factor; + down = 1/lmstat->down_factor; + target_derr = lmstat->target_derr; + weight = 1; + derr = newerr = 0; /* to avoid compiler warnings */ - /* calculate the initial error ("chi-squared") */ - err = error_func(par, ny, y, dysq, func, fdata); + /* calculate the initial error ("chi-squared") */ + err = error_func(par, ny, y, dysq, func, fdata); - /* main iteration */ - for (it=0; it 0); + } + if (ill) { + mult = (1 + lambda*up)/(1 + lambda); + lambda *= up; + it++; + } + } + for (i=0; ifinal_it = it; + lmstat->final_err = err; + lmstat->final_derr = derr; - ill = cholesky_decomp(npar, ch, h); - - if (!ill) { - solve_axb_cholesky(npar, ch, delta, d); - for (i=0; i 0); - } - if (ill) { - mult = (1 + lambda*up)/(1 + lambda); - lambda *= up; - it++; - } + if (it == nit) { + DEBUG_PRINT("did not converge"); + return -1; } - for (i=0; ifinal_it = it; - lmstat->final_err = err; - lmstat->final_derr = derr; - - return (it==nit); + return it; } /* calculate the error function (chi-squared) */ float error_func(float *par, int ny, float *y, float *dysq, - float (*func)(float *, int, void *), void *fdata) + float (*func)(float *, int, void *), void *fdata) { - int x; - float res,e=0; + int x; + float res,e=0; - for (x=0; x=0; i--) { - sum = 0; - for (j=i+1; j=0; i--) { + sum = 0; + for (j=i+1; j +#define DEBUG_PRINTN(...) fprintf(stderr, __VA_ARGS__) +#define DEBUG_PRINTNF(fmt, ...) DEBUG_PRINTN("%s:%d: " fmt, __FILE__, __LINE__, ##__VA_ARGS__) +#define DEBUG_PRINT(fmt, ...) DEBUG_PRINTNF(fmt "\n", ##__VA_ARGS__) +#else +#define DEBUG_PRINT(...) ((void)0) +#define DEBUG_PRINTN(...) ((void)0) +#endif + +#endif /* __SIMULATION_H__ */ diff --git a/controller/fw/tools/freq_meas_test.c b/controller/fw/tools/freq_meas_test.c index 01b4963..df3e39d 100644 --- a/controller/fw/tools/freq_meas_test.c +++ b/controller/fw/tools/freq_meas_test.c @@ -1,4 +1,6 @@ +#include +#include #include #include #include @@ -13,7 +15,7 @@ void print_usage(void); void print_usage() { - fprintf(stderr, "Usage: freq_meas_test [test_data.bin]"); + fprintf(stderr, "Usage: freq_meas_test [test_data.bin]\n"); } int main(int argc, char **argv) { @@ -46,6 +48,7 @@ int main(int argc, char **argv) { return 2; } + fprintf(stderr, "Reading %zd samples test data...", st.st_size/sizeof(float)); size_t nread = 0; while (nread < st.st_size) { ssize_t rc = read(fd, buf, st.st_size - nread); @@ -54,41 +57,48 @@ int main(int argc, char **argv) { continue; if (rc < 0) { - fprintf(stderr, "Error reading test data: %s\n", strerror(errno)); + fprintf(stderr, "\nError reading test data: %s\n", strerror(errno)); return 2; } if (rc == 0) { - fprintf(stderr, "Error reading test data: Unexpected end of file\n"); + fprintf(stderr, "\nError reading test data: Unexpected end of file\n"); return 2; } nread += rc; } + fprintf(stderr, " done.\n"); size_t n_samples = st.st_size / sizeof(float); float *buf_f = (float *)buf; - uint16_t *sim_adc_buf = calloc(sizeof(uint16_t), n_samples); + int16_t *sim_adc_buf = calloc(sizeof(int16_t), n_samples); if (!sim_adc_buf) { fprintf(stderr, "Error allocating memory\n"); return 2; } + fprintf(stderr, "Converting and truncating test data..."); for (size_t i=0; i: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(len(test_data), figsize=(8, 20), sharex=True)\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "30b7e529e3f94c1b8241c6b6760b7e69", + "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" + } + ], + "source": [ + "fig, ax = plt.subplots(len(test_data), figsize=(8, 20), sharex=True)\n", + "fig.tight_layout(pad=2, h_pad=0.1)\n", + "\n", + "for fft, ax, label in zip(test_data, ax.flatten(), test_labels):\n", + " ax.plot((item * (2**(quantization_bits-1) - 1)).round())\n", + " \n", + " ax.set_title(label, pad=-20, color='white', bbox=dict(boxstyle=\"square\", ec=(0,0,0,0), fc=(0,0,0,0.8)))\n", + " ax.grid()\n", + " ax.set_ylabel('f [Hz]')\n", + "ax.set_xlabel('simulation time t [s]')\n", + "ax.set_xlim([5000, 5200])\n", + "None" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + ":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(len(test_data), figsize=(8, 20), sharex=True)\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "9e0976ade81c4990a10fd1182f0f20d5", + "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" + } + ], + "source": [ + "fig, ax = plt.subplots(len(test_data), figsize=(8, 20), sharex=True)\n", + "fig.tight_layout(pad=2, h_pad=0.1)\n", + "\n", + "for fft, ax, label in zip(ffts, ax.flatten(), test_labels):\n", + " f, t, Zxx = fft\n", + " ax.pcolormesh(t[1:], f[:250], np.abs(Zxx[:250,1:]))\n", + " ax.set_title(label, pad=-20, color='white')\n", + " ax.grid()\n", + " ax.set_ylabel('f [Hz]')\n", + " ax.set_ylim([30, 75]) # Hz\n", + "ax.set_xlabel('simulation time t [s]')\n", + "None" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 3.90625, 7.8125 , 11.71875, 15.625 , 19.53125,\n", + " 23.4375 , 27.34375, 31.25 , 35.15625, 39.0625 , 42.96875,\n", + " 46.875 , 50.78125, 54.6875 , 58.59375, 62.5 , 66.40625,\n", + " 70.3125 , 74.21875, 78.125 , 82.03125, 85.9375 , 89.84375,\n", + " 93.75 , 97.65625, 101.5625 , 105.46875, 109.375 , 113.28125,\n", + " 117.1875 , 121.09375, 125. , 128.90625, 132.8125 , 136.71875,\n", + " 140.625 , 144.53125, 148.4375 , 152.34375, 156.25 , 160.15625,\n", + " 164.0625 , 167.96875, 171.875 , 175.78125, 179.6875 , 183.59375,\n", + " 187.5 , 191.40625, 195.3125 , 199.21875, 203.125 , 207.03125,\n", + " 210.9375 , 214.84375, 218.75 , 222.65625, 226.5625 , 230.46875,\n", + " 234.375 , 238.28125, 242.1875 , 246.09375, 250. , 253.90625,\n", + " 257.8125 , 261.71875, 265.625 , 269.53125, 273.4375 , 277.34375,\n", + " 281.25 , 285.15625, 289.0625 , 292.96875, 296.875 , 300.78125,\n", + " 304.6875 , 308.59375, 312.5 , 316.40625, 320.3125 , 324.21875,\n", + " 328.125 , 332.03125, 335.9375 , 339.84375, 343.75 , 347.65625,\n", + " 351.5625 , 355.46875, 359.375 , 363.28125, 367.1875 , 371.09375,\n", + " 375. , 378.90625, 382.8125 , 386.71875, 390.625 , 394.53125,\n", + " 398.4375 , 402.34375, 406.25 , 410.15625, 414.0625 , 417.96875,\n", + " 421.875 , 425.78125, 429.6875 , 433.59375, 437.5 , 441.40625,\n", + " 445.3125 , 449.21875, 453.125 , 457.03125, 460.9375 , 464.84375,\n", + " 468.75 , 472.65625, 476.5625 , 480.46875, 484.375 , 488.28125,\n", + " 492.1875 , 496.09375, 500. ])" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + ":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, axs = plt.subplots(len(test_data), figsize=(8, 20), sharex=True)\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "cef58f5753084c54a648418e134775d8", + "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" + } + ], + "source": [ + "fig, axs = plt.subplots(len(test_data), figsize=(8, 20), sharex=True)\n", + "fig.tight_layout(pad=2.2, h_pad=0, w_pad=1)\n", + "\n", + "for fft, ax, label in zip(ffts, axs.flatten(), test_labels):\n", + " f, f_t, Zxx = fft\n", + " \n", + " n_f, n_t = Zxx.shape\n", + " # start, stop = 180, 220\n", + " # start, stop = 90, 110\n", + " # start, stop = 15, 35\n", + " # bounds_f = slice(start // 4 * nfft_factor, stop // 4 * nfft_factor)\n", + " f_min, f_max = 30, 70 # Hz\n", + " bounds_f = slice(np.argmax(f > f_min), np.argmin(f < f_max))\n", + " \n", + "\n", + " f_mean = np.zeros(Zxx.shape[1])\n", + " for t in range(1, Zxx.shape[1] - 1):\n", + " frame_f = f[bounds_f]\n", + " frame_step = frame_f[1] - frame_f[0]\n", + " time_step = f_t[1] - f_t[0]\n", + " #if t == 10:\n", + " # axs[-1].plot(frame_f, frame_Z)\n", + " frame_Z = np.abs(Zxx[bounds_f, t])\n", + " # frame_f = f[180:220]\n", + " # frame_Z = np.abs(Zxx[180:220, 40])\n", + " # frame_f = f[15:35]\n", + " # frame_Z = np.abs(Zxx[15:35, 40])\n", + " # plt.plot(frame_f, frame_Z)\n", + "\n", + " # peak_f = frame_f[np.argmax(frame)]\n", + " # plt.axvline(peak_f, color='red')\n", + "\n", + "# def gauss(x, *p):\n", + "# A, mu, sigma, o = p\n", + "# return A*np.exp(-(x-mu)**2/(2.*sigma**2)) + o\n", + " \n", + " def gauss(x, *p):\n", + " A, mu, sigma = p\n", + " return A*np.exp(-(x-mu)**2/(2.*sigma**2))\n", + " \n", + " f_start = frame_f[np.argmax(frame_Z)]\n", + " A_start = np.max(frame_Z)\n", + " p0 = [A_start, f_start, 1.]\n", + " try:\n", + " coeff, var = optimize.curve_fit(gauss, frame_f, frame_Z, p0=p0)\n", + " # plt.plot(frame_f, gauss(frame_f, *coeff))\n", + " #print(coeff)\n", + " A, mu, sigma, *_ = coeff\n", + " f_mean[t] = mu\n", + " except RuntimeError:\n", + " f_mean[t] = np.nan\n", + " ax.plot(f_t[1:-1], f_mean[1:-1])\n", + " \n", + "# b, a = signal.butter(3,\n", + "# 1/5, # Hz\n", + "# btype='lowpass',\n", + "# fs=1/time_step)\n", + "# filtered = signal.lfilter(b, a, f_mean[1:-1], axis=0)\n", + "# ax.plot(f_t[1:-1], filtered)\n", + " \n", + " ax.set_title(label, pad=-20)\n", + " ax.set_ylabel('f [Hz]')\n", + " ax.grid()\n", + " if not label in ['off_frequency', 'sweep_phase_steps']:\n", + " ax.set_ylim([49.90, 50.10])\n", + " var = np.var(f_mean[1:-1])\n", + " ax.text(0.5, 0.1, f'σ²={var * 1e3:.3g} mHz²', transform=ax.transAxes, ha='center')\n", + " ax.text(0.5, 0.25, f'σ={np.sqrt(var) * 1e3:.3g} mHz', transform=ax.transAxes, ha='center')\n", + "# ax.text(0.5, 0.2, f'filt. σ²={np.var(filtered) * 1e3:.3g} mHz', transform=ax.transAxes, ha='center')\n", + " else:\n", + " f_min, f_max = min(f_mean[1:-1]), max(f_mean[1:-1])\n", + " delta = f_max - f_min\n", + " ax.set_ylim(f_min - delta * 0.1, f_max + delta * 0.3)\n", + " \n", + "ax.set_xlabel('simulation time t [s]')\n", + "None" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "labenv", + "language": "python", + "name": "labenv" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.1" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/lab-windows/gauss_derivations.ipynb b/lab-windows/gauss_derivations.ipynb new file mode 100644 index 0000000..6e0dcd8 --- /dev/null +++ b/lab-windows/gauss_derivations.ipynb @@ -0,0 +1,184 @@ +{ + "cells": 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to re-export when changing it.** + +# In[ ]: + + +import math +import itertools + +import numpy as np +from scipy import signal +from matplotlib import pyplot as plt + + +# In[ ]: + + +def sample_waveform(generator, duration:"s"=10, sampling_rate:"sp/s"=10000, frequency:"Hz"=50): + samples = int(duration*sampling_rate) + phases = np.linspace(0, 2*np.pi, 6, endpoint=False) + omega_t = np.linspace(phases, phases + 2*np.pi*duration*frequency, samples) + fundamental = np.sin(omega_t) + return generator(omega_t, fundamental, sampling_rate=sampling_rate, duration=duration, frequency=frequency).swapaxes(0, 1) + + +# In[ ]: + + +def gen_harmonics(amplitudes, phases=[]): + return lambda omega_t, fundamental, **_: fundamental + np.sum([ + a*np.sin((p if p else 0) + i*omega_t) + for i, (a, p) in enumerate(itertools.zip_longest(amplitudes, phases), start=2) + ], axis=0) + +def test_harmonics(): + return gen_harmonics([0.02, 0.05, 0.01, 0.06, 0.005, 0.05, 0.005, 0.015, 0.005, 0.035, 0.005, 0.003]) + + +# In[ ]: + + +def gen_interharmonic(amplitudes, ih=[], ih_phase=[]): + def gen(omega_t, fundamental, **_): + return fundamental + np.sum([ + a*np.sin(omega_t * ih + (p if p else 0)) + for a, ih, p in itertools.zip_longest(amplitudes, ih, ih_phase) + ], axis=0) + return gen + +def test_interharmonics(): + return gen_interharmonic([0.1], [15.01401], [np.pi]) + + +# In[ ]: + + +def gen_noise(amplitude=0.2, fmax:'Hz'=4.9e3, fmin:'Hz'=100, filter_order=6): + def gen(omega_t, fundamental, sampling_rate, **_): + noise = np.random.normal(0, amplitude, fundamental.shape) + b, a = signal.butter(filter_order, + [fmin, min(fmax, sampling_rate//2-1)], + btype='bandpass', + fs=sampling_rate) + return fundamental + signal.lfilter(b, a, noise, axis=0) + return gen + +def test_noise(): + return gen_noise() + +def test_noise_loud(): + return gen_noise(amplitude=0.5, fmin=10) + + +# In[406]: + + +def gen_steps(size_amplitude=0.1, size_phase=0.1*np.pi, steps_per_sec=1): + def gen(omega_t, fundamental, duration, **_): + n = int(steps_per_sec * duration) + indices = np.random.randint(0, len(omega_t), n) + amplitudes = np.random.normal(1, size_amplitude, (n, 6)) + phases = np.random.normal(0, size_phase, (n, 6)) + amplitude = np.ones(omega_t.shape) + for start, end, a, p in zip(indices, indices[1:], amplitudes, phases): + omega_t[start:end] += p + amplitude[start:end] = a + return amplitude*np.sin(omega_t) + return gen + +def test_amplitude_steps(): + return gen_steps(size_amplitude=0.4, size_phase=0) + +def test_phase_steps(): + return gen_steps(size_amplitude=0, size_phase=0.1) + +def test_amplitude_and_phase_steps(): + return gen_steps(size_amplitude=0.2, size_phase=0.07) + + +# In[418]: + + +def step_gen(shape, stdev, duration, steps_per_sec=1.0, mean=0.0): + samples, channels = shape + n = int(steps_per_sec * duration) + indices = np.random.randint(0, samples, n) + phases = np.random.normal(mean, stdev, (n, 6)) + amplitude = np.ones((samples, channels)) + out = np.zeros(shape) + for start, end, a in zip(indices, indices[1:], amplitude): + out[start:end] = a + return out + +def gen_chirp(fmin, fmax, period, dwell_time=1.0, amplitude=None, phase_steps=None): + def gen(omega_t, fundamental, sampling_rate, duration, **_): + samples = int(duration*sampling_rate) + phases = np.linspace(0, 2*np.pi, 6, endpoint=False) + + c = (fmax-fmin)/period + t = np.linspace(0, duration, samples) + + x = np.repeat(np.reshape(2*np.pi*fmin*t, (-1,1)), 6, axis=1) + data = (phases + x)[:int(sampling_rate*dwell_time)] + current_phase = 2*np.pi*fmin*dwell_time + direction = 'up' + + for idx in range(int(dwell_time*sampling_rate), samples, int(2*period*sampling_rate)): + t1 = np.linspace(0, period, int(period*sampling_rate)) + t2 = np.linspace(0, period, int(period*sampling_rate)) + chirp_phase = np.hstack(( + 2*np.pi*(c/2 * t1**2 + fmin * t1), + 2*np.pi*(-c/2 * t2**2 + fmax * t2 - (c/2 * period**2 + fmin * period)) + )) + chirp_phase = np.repeat(np.reshape(chirp_phase, (-1, 1)), 6, axis=1) + new = phases + chirp_phase + current_phase + current_phase = chirp_phase[-1] + data = np.vstack((data, new)) + + data = data[:len(fundamental)] + + if phase_steps: + (step_amplitude, steps_per_sec) = phase_steps + steps = step_gen(data.shape, step_amplitude, duration, steps_per_sec) + data += steps + + if amplitude is None: + return np.sin(data) + else: + return fundamental + amplitude*np.sin(data) + return gen + +def test_close_interharmonics_and_flicker(): + return gen_chirp(90.0, 150.0, 10, 1, amplitude=0.1) + +def test_off_frequency(): +# return gen_chirp(48.0, 52.0, 0.25, 1) + return gen_chirp(48.0, 52.0, 10, 1) + +def test_sweep_phase_steps(): + return gen_chirp(48.0, 52.0, 10, 1, phase_steps=(0.1, 1)) +# return gen_chirp(48.0, 52.0, 0.25, 1, phase_steps=(0.1, 1)) + + +# In[ ]: + + +all_tests = [test_harmonics, test_interharmonics, test_noise, test_noise_loud, test_amplitude_steps, test_phase_steps, test_amplitude_and_phase_steps, 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