In: Electrical Engineering
A stable system has four zeros and four poles given by zeros: z = ± 1, ±j and poles: z = ± 0.9, ±j0.9.
It is also known that the frequency response function H(e^jω) evaluated at ω=π/4 is equal to 1, i.e., H(e^jπ/4)=1
a. Determine the transfer function H(z), and indicate the region of convergence.
b. Determine the difference equation representation.