Hi,
To find the impulse response "h(n)" from the given pole-zero locations, create the system function "H(z)" and then compute the inverse Z-transform to get the impulse response. The function "zp2tf" can convert the zero-pole representation to the transfer function form, returning the numerator "b" and denominator "a" coefficients of "H(z)". To compute the impulse response with the help of numerator and denominator coefficients, you can use the "impz" function. Finally, plot the discrete impulse response using the "stem" function. Refer to an example code below:
% Define zeros and poles
zeros = [-0.2, -0.3, -0.4, -0.8];
poles = [0.4+0.4j, 0.4-0.4j, 0.5, 0.7];
% Get the coefficients of the numerator and denominator of H(z)
[b, a] = zp2tf(zeros', poles', 1);
% Define the number of samples for the impulse response
num_samples = 50;
% Compute the impulse response
impulse_response = impz(b, a, num_samples);
% Display the impulse response
stem(impulse_response);
title('Impulse Response h(n)');
xlabel('n');
ylabel('h(n)');
grid on;
For more information on the "zp2tf", "impz", and "stem" functions, refer to the below documentation:
