Design the analysis/synthesis two-channel orthogonal filter bank using the MATLAB function firpr2chfb. The filter length is N = 32, and the lowpass passband edge frequency ω p = 0.43π. Plot the...

Design the analysis/synthesis two-channel orthogonal filter bank using the MATLAB function firpr2chfb. The filter length is N = 32, and the lowpass passband edge frequency ω_p
= 0.43π. Plot the impulse responses of the analysis and synthesis filters: h₀
[n], h₁
[n], g₀
[n] and g₁
[n]. Compute and plot the poles and zeros of the transfer functions H₀
(z), H₁
(z), G₀
(z) and G₁
(z). Compute and plot the magnitude

and group delay responses of the analysis filters H₀
(z) and H₁
(z). Compute and plot the impulse response of the distortion transfer function t[n]. Comment on the results.