diff --git a/controls/.gitignore b/controls/.gitignore new file mode 100644 index 0000000000000000000000000000000000000000..21229f76b17b687525514038ec23a451ae85a716 --- /dev/null +++ b/controls/.gitignore @@ -0,0 +1 @@ +*.asv \ No newline at end of file diff --git a/controls/MATLAB/IMU/accelerometer_noise_analysis.m b/controls/MATLAB/IMU/accelerometer_noise_analysis.m new file mode 100644 index 0000000000000000000000000000000000000000..ee2514e517e516399d7b305eeed170caec4a5f44 --- /dev/null +++ b/controls/MATLAB/IMU/accelerometer_noise_analysis.m @@ -0,0 +1,19 @@ +close all; clear all; clc; + +filename = 'imu.csv'; +data = load_IMU_data_from_csv( filename ) ; + +t = data.t; +ax = data.ax; +ay = data.ay; +az = data.az; +gx = data.gx; +gy = data.gy; +gz = data.gz; + +% analyze the noise (deviation from mean) on each axis and compare the +% emperical distribution to one generated from a quantized Gaussian +% distrubtuion with the same variance. +quantized_accel_noise_gauss_anal( ax , 'x-axis') +quantized_accel_noise_gauss_anal( ay , 'y-axis') +quantized_accel_noise_gauss_anal( az , 'z-axis') \ No newline at end of file diff --git a/controls/MATLAB/IMU/load_IMU_data_from_csv.m b/controls/MATLAB/IMU/load_IMU_data_from_csv.m new file mode 100644 index 0000000000000000000000000000000000000000..cf6f336adcfcffdf23277da7cc7ebc68e9f10d8d --- /dev/null +++ b/controls/MATLAB/IMU/load_IMU_data_from_csv.m @@ -0,0 +1,55 @@ +function data = load_IMU_data_from_csv( filename ) +% load_IMU_data_from_csv load data from csv file into workspace +% +%SYNTAX +% data = load_IMU_data_from_csv( filename ) +% +%DESCRIPTION +% ...to be written... +% +% +%Inputs: +% filename - string specifying the file +% +%Options: +% none +% +%Outputs: +% data - IMU data loaded into a structure (specify more later) +% +%EXAMPLES +% +%NOTES +% This function currently assumes the csv format that was used as of the +% date: 11/15/2016 (m/d/y) +% +%AUTHORS +% Matt Rich - m87rich@iastate.edu +% +%DEVELOPERS +% + +% +%DEVELOPMENT NOTES +% +% dates are in m-d-y format +% +% Initial bare bones function. +% - Matt Rich 11-15-2016 +% +delimiter = ','; +formatSpec = '%f%f%f%f%f%f%f%[^\n\r]'; +fileID = fopen(filename,'r'); +dataArray = textscan(fileID, formatSpec, 'Delimiter', delimiter, 'EmptyValue' ,NaN, 'ReturnOnError', false); +fclose(fileID); +data.t = dataArray{:, 1}; +data.ax = dataArray{:, 2}; +data.ay = dataArray{:, 3}; +data.az = dataArray{:, 4}; +data.gx = dataArray{:, 5}; +data.gy = dataArray{:, 6}; +data.gz = dataArray{:, 7}; + + +end + diff --git a/controls/MATLAB/IMU/microcart_imu_analysis_1.m b/controls/MATLAB/IMU/microcart_imu_analysis_1.m new file mode 100644 index 0000000000000000000000000000000000000000..09315ae94fb91c26c66b80f0296f7c01c9b7a281 --- /dev/null +++ b/controls/MATLAB/IMU/microcart_imu_analysis_1.m @@ -0,0 +1,98 @@ +% function microcart_imu_analysis_1 + +close all; clc; +filename = 'imu.csv'; +delimiter = ','; +formatSpec = '%f%f%f%f%f%f%f%[^\n\r]'; +fileID = fopen(filename,'r'); +dataArray = textscan(fileID, formatSpec, 'Delimiter', delimiter, 'EmptyValue' ,NaN, 'ReturnOnError', false); +fclose(fileID); +t = dataArray{:, 1}; +ax = dataArray{:, 2}; +ay = dataArray{:, 3}; +az = dataArray{:, 4}; +gx = dataArray{:, 5}; +gy = dataArray{:, 6}; +gz = dataArray{:, 7}; +clearvars filename delimiter formatSpec fileID dataArray ans; + +% magnitude of acceleration in gs +a = ( ax.^2 + ay.^2 + az.^2 ).^0.5 ; + +% magnitude of deviation from ideal +ea1 = 1 - a ; + +% magnitude of deviation from mean +ea2 = a - mean(a) ; + +% RMS error +ea1rms = sqrt(1/length(ea1)*(ea1')*ea1) ; +ea2rms = sqrt(1/length(ea2)*(ea2')*ea2) ; + +subplot(3,1,1); +plot(t, a , t , ones(length(t),1)); axis([min(t),max(t),min([a;1])-0.01,max([a;1])+0.01]); grid; +xlabel('Time (s)'); ylabel('Acceleration (gs)'); +legend('Measured','Ideal'); + + +subplot(3,1,2); +plot(t, ea1 ); axis([min(t),max(t),min(ea1)-0.01,max(ea1)+0.01]); grid; +xlabel('Time (s)'); ylabel('Error From Ideal (gs)'); + +subplot(3,1,3); +plot(t, ea2 ); axis([min(t),max(t),min(ea2)-0.01,max(ea2)+0.01]); grid; +xlabel('Time (s)'); ylabel('Error From Mean (gs)'); + +% +figure; +X = fft(ea2); +N = length(ea2); +fs = 1/(t(2)-t(1)); +F = ([-N/2:N/2-1]/N)*fs; %frequency axis for plotting FFTs +% subplot(2,1,1); +plot(F,fftshift(abs(X))); grid; +xlabel('frequency (Hz)'); +ylabel(['|FFT(x)|']); +% subplot(2,1,2); +% plot(F,20*log10(fftshift(abs(X)))); grid; +% xlabel('frequency (Hz)'); +% ylabel('|FFT(x)| dB'); +suptitle('x = Error From Mean (gs)'); + + +eax = ax - mean(ax); + +vx = var(ax); +sigmax = sqrt(vx); + +figure; + +bins = unique(eax) ; +dbins = bins(2)-bins(1); % the quantization levels consistent + +bins_right = bins + dbins/2; +bins_left = bins - dbins/2; +cgauss_right = normcdf(bins_right,0,sigmax); +cgauss_left = normcdf(bins_left,0,sigmax); + +empf = length(eax)*(cgauss_right-cgauss_left); +stairs(bins_left,empf,'r','LineWidth',1) ; +xlabel('Error From Mean (gs)'); +ylabel('Occurences'); + +grid; +hold on; +h = hist(eax,bins); +stem(bins,h); + +legend(['Quantized Gaussian Noise: N(0,',num2str(vx),')'],'Emperical Distribution') + + +quantized_accel_noise_gauss_anal( ax ) + + + +% end + + + diff --git a/controls/MATLAB/IMU/quantized_accel_noise_gauss_anal.m b/controls/MATLAB/IMU/quantized_accel_noise_gauss_anal.m new file mode 100644 index 0000000000000000000000000000000000000000..229a09da924c719d0353479db7e16e227690d50f --- /dev/null +++ b/controls/MATLAB/IMU/quantized_accel_noise_gauss_anal.m @@ -0,0 +1,73 @@ +function varargout = quantized_accel_noise_gauss_anal( a , axis ) +% quantized_accel_noise_gauss_anal analysis for quantized acelerometer data +% +%SYNTAX +% quantized_accel_noise_gauss_anal( a , axis ) +% +%DESCRIPTION +% ...to be written... +% +% +%Inputs: +% a - vector of a single axis accelerometer reading +% axis - string specifying the axis label +% +%Options: +% none +% +%Outputs: +% none +% +%EXAMPLES +% +%NOTES +% This function is only really meaningful for a static (not moving) test. +% +%AUTHORS +% Matt Rich - m87rich@iastate.edu +% +%DEVELOPERS +% + +% +%DEVELOPMENT NOTES +% +% dates are in m-d-y format +% +% Initial bare bones function. +% - Matt Rich 11-15-2016 +% + +mu = mean(a); +v = var(a); +sigma = sqrt(v); + +ea = a - mu; + +mue = mean(ea); %calculate the mean of the error from mean + + +figure; + +bins = unique(ea) ; +dbins = bins(2)-bins(1); % assuming the quantization levels consistent + +bins_right = bins + dbins/2; +bins_left = bins - dbins/2; +cgauss_right = normcdf(bins_right,mue,sigma); +cgauss_left = normcdf(bins_left,mue,sigma); + +emp_dist = length(ea)*(cgauss_right-cgauss_left); +stairs(bins_left,emp_dist,'r','LineWidth',1) ; +xlabel('Error From Mean (gs)'); +ylabel('Occurences'); +grid; +hold on; +h = hist(ea,bins); +stem(bins,h); +legend(['Quantized Gaussian Noise: N(',num2str(mue),',',num2str(v),')'],'Emperical Distribution'); +title(['Accelerometer deviation from mean on ',axis]); + + 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