109 lines
3.4 KiB
Mathematica
109 lines
3.4 KiB
Mathematica
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%% Inicialização do ambiente
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clear ; close all; clc
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%% Exercício 5
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file_id = fopen("INS_10k.txt", "r");
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A = fscanf(file_id, "%f %f %f %f %f %f %f", [7 Inf]);
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A=A';
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X = A(:,1); % ang_rate ( angles/sec )
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Y = A(:,2);
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Z = A(:,3);
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DX = A(:,4);
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DY = A(:,5);
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DZ = A(:,6);
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t = A(:,7);
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fclose(file_id);
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L = length(X); % Length of signal
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total_time = (t(L)-t(1))/1000; % Time the sampling took in seconds
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T = 0.02; % Sampling period in seconds
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SF = 1/T; % Sampling frequency (cycles per sec)
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tv = 0:1/SF:total_time; % secs (duh.)
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F = SF*(1:(L))/L; % cycles per sec (Hertz)
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% -- Normalizations -- %
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F_rad = (2*pi) .* F ./ SF; % rads per sample
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X_rad = X .* (pi/180); % ( radians / sec)
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X_hertz = X_rad .* (1/(2*pi));
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DFT_0_2pi = fft(X_rad, L); % entre 0 e 2pi
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DFT_0_pi = DFT_0_2pi(1 : (L)/2);
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%1)
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figure(1)
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subplot(2,2,1)
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plot(tv,X) % X(t)
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title("X(t)"); ylabel("Amplitude (angles)"); xlabel("Time (s)");
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subplot(2,2,2)
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plot(F_rad, abs(DFT_0_2pi)); % dft in 0:2pi
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title("FFT of X in [0:2\pi]"); ylabel("Magnitude"); xlabel("\omega/\pi");
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subplot(2,2,3)
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plot(F_rad(1 : (L)/2), abs(DFT_0_pi)); %dft in 0:pi
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title("FFT of X in [0:\pi]"); ylabel("Magnitude"); xlabel("\omega/\pi");
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subplot(2,2,4)
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plot(F,X_hertz); % X(f)
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title("X in function of the frequency (Hz)"); ylabel("Amplitude (Hertz)"); xlabel("Frequency (Hertz)");
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%2)
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Y_rad = Y .* (pi/180);
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Y_hertz = Y_rad .* (1/(2*pi));
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Z_rad = Z .* (pi/180);
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Z_hertz = Z_rad .* (1/(2*pi));
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figure(2)
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subplot(2,3,1)
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plot(F,X_hertz); % X(f)
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title("X in function of the frequency (Hz)"); ylabel("Amplitude (Hertz)"); xlabel("Frequency (Hertz)");
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subplot(2,3,2)
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plot(F,Y_hertz); % X(f)
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title("Y in function of the frequency (Hz)"); ylabel("Amplitude (Hertz)"); xlabel("Frequency (Hertz)");
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subplot(2,3,3)
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plot(F,Z_hertz); % X(f)
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title("Z in function of the frequency (Hz)"); ylabel("Amplitude (Hertz)"); xlabel("Frequency (Hertz)");
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subplot(2,3,4)
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plot(F,abs(fft(X_hertz)));
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title("DFT of X in function of the frequency (Hz)"); ylabel("Magnitude"); xlabel("Frequency (Hertz)");
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subplot(2,3,5)
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plot(F,abs(fft(Y_hertz)));
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title("DFT of Y in function of the frequency (Hz)"); ylabel("Magnitude"); xlabel("Frequency (Hertz)");
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subplot(2,3,6)
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plot(F,abs(fft(Z_hertz)));
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title("DFT of Z in function of the frequency (Hz)"); ylabel("Magnitude"); xlabel("Frequency (Hertz)");
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%3)
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DX_rad = DX .* (pi/180);
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DX_hertz = DX_rad .* (1/(2*pi));
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DX_hertz = DX_hertz(1:601);
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DY_rad = DY .* (pi/180);
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DY_hertz = DY_rad .* (1/(2*pi));
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DY_hertz = DY_hertz(1:601);
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DZ_rad = DZ .* (pi/180);
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DZ_hertz = DZ_rad .* (1/(2*pi));
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DZ_hertz = DZ_hertz(1:601);
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F3 = F(1:601);
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figure(3)
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subplot(2,3,1)
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plot(F3,DX_hertz); % X(f)
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title("X' in function of the frequency (Hz)"); ylabel("Amplitude (Hertz)"); xlabel("Frequency (Hertz)");
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subplot(2,3,2)
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plot(F3,DY_hertz); % X(f)
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title("Y' in function of the frequency (Hz)"); ylabel("Amplitude (Hertz)"); xlabel("Frequency (Hertz)");
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subplot(2,3,3)
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plot(F3,DZ_hertz); % X(f)
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title("Z' in function of the frequency (Hz)"); ylabel("Amplitude (Hertz)"); xlabel("Frequency (Hertz)");
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subplot(2,3,4)
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plot(F3,abs(fft(DX_hertz)));
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title("DFT of X in function of the frequency (Hz)"); ylabel("Magnitude"); xlabel("Frequency (Hertz)");
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subplot(2,3,5)
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plot(F3,abs(fft(DY_hertz)));
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title("DFT of Y in function of the frequency (Hz)"); ylabel("Magnitude"); xlabel("Frequency (Hertz)");
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subplot(2,3,6)
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plot(F3,abs(fft(DZ_hertz)));
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title("DFT of Z in function of the frequency (Hz)"); ylabel("Magnitude"); xlabel("Frequency (Hertz)");
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