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function x = generate_cosine(amplitude, frequency, phase, fs, duration, duty)
% GENERATE_WAVENAME: returns a matrix of sampled WAVENAME wave
% CONTRIBUTORS:
% Mekhi Ellington: Original Creator
% DOCUMENTATION:
% phase shift is in number of periods
% fs is the sampling frequency: how many sample points per second
% duration is time in seconds
% duty is a number between 0 and 1
% initialize local variables from input arguments
n = fs * duration; % number of samples (length of matrix)
dt = 1 / fs; % sampling period: time between two sample points
% initialize a one dimensional zero matrix to be populated
x = zeros(1, n);
% populate the matrix
for i = 1:n
t = i * dt;
x(i) = amplitude * cos(2*pi*frequency*t-phase);
end
end