MATLAB: How to generate a sin function of time ….

sine function

how to generate a sine function of time with 1024 second long … and generate 8 full cycle over this interval ….

Best Answer

How many samples do you want over that 1024 seconds? Let's say it's 50,000:

numSamples = 50000;
t = linspace(0, 1024, numSamples);
period = numSamples / 8; % Want 8 full cycles
amplitude = 1; % Whatever.
y = amplitude * sin(2 * pi * t / period);
plot(t, y, 'b-', 'LineWidth', 2);
grid on;
xlabel('t', 'FontSize', 20);
ylabel('y', 'FontSize', 20);

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MATLAB: Code (m-file) to sample the signal

Try this (assuming it's not your homework, because you didn't tag it as homework):

% Formula for a cosine is cos(2 * pi * t / period).
% So, 200 * pi = 2 * pi / period, so period = 2/200 = 0.01.
% Thus 10 periods would mean a max t of 10 * 0.01 = 0.1.
% Sampling rate is 400 Hz, or one sample every 1/400 of a second.
% Number of Samples = (elasped time) / (time per sample)
numSamples = round(0.1 / (1/400))
% That is only 40 and gives a severe undersampling of the signal
% giving a weird shape.
% Make up a t axis going from 0 to 0.1 with numSamples samples.
t = linspace(0, 0.1, numSamples);
xt = 4 * cos(200 * pi * t);
plot(t, xt, 'b.-', 'LineWidth', 2, 'MarkerSize', 15);
grid on;
title('x(t) vs. t', 'FontSize', fontSize);
xlabel('t', 'FontSize', fontSize);
ylabel('x(t)', 'FontSize', fontSize);

MATLAB: How to generate square wave in matlab

Make one period, then use repmat() to replicate as many times as you want.

% Now make one cycle with amplitude 1000 and 200 elements.
onePeriod = 1000 * [ones(1, 100), zeros(1, 100)];
% 200 elements is supposed to be 0.1 seconds so find out delta t.
dt = 0.1 / numel(onePeriod);
% Define number of cycles.
numCycles = 10;
% Copy this period that many times.
fullWaveForm = repmat(onePeriod, [1, numCycles]);
% Make time axis from 0 to 1 second.
t = dt * (0 : (numel(fullWaveForm) - 1));
% Now plot it.
plot(t, fullWaveForm, 'b-', 'LineWidth', 2);
FontSize = 20;
xlabel('Time (seconds)', 'FontSize', FontSize);
ylabel('Amplitude', 'FontSize', FontSize);
title('Square Wave With 10 Cycles', 'FontSize', FontSize);
grid on;

Best Answer

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MATLAB: Code (m-file) to sample the signal

MATLAB: How to generate square wave in matlab

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