Answer:
As there are no specific signals given in the question, I will provide the general approach to find the Fourier series coefficients for a discrete-time periodic signal.
Suppose we have a discrete-time periodic signal x[n] with period N. Its Fourier series coefficients can be calculated using the following formula:
ak = (1/N) * sum(x[n] * exp(-j2pikn/N)), for k = 0,1,2,...,N-1
where j is the imaginary unit, and * denotes complex conjugation.
To plot the magnitude and phase of each set of coefficients using MATLAB, we can use the following commands:
Ak = abs(ak); % magnitude of coefficients
theta_k = angle(ak); % phase of coefficients
figure; % create new figure
stem(Ak); % plot magnitude
xlabel('k'); ylabel('|Ak|');
figure; % create new figure
stem(theta_k); % plot phase
xlabel('k'); ylabel('theta_k (radians)');
These commands will generate two separate plots, one for the magnitude and one for the phase, with k on the x-axis and |Ak| or theta_k on the y-axis.