Plot several impulse responses for various values of a and

Question

Question: (Computer Assignment) The glottal shaping filter is often modeled by a two-pole system whose impulse response is given by

g(n) = [αⁿ - βⁿ]u(n),        β < α < 1,       α ≈ 1.

(a) Plot several impulse responses for various values of a and p. Make sure that your pulse is practically "closed" at time n = 64 in every case

(b) Based on 128-point DFTs, plot the magnitude and phase responses for two typical examples in part (a). As we discussed in the chapter, more realistic glottal pulse shapes can be obtained using the Rosenberg pulse

(c) Plot several impulse responses for various values of P and K. Make sure that your pulse is "closed" at time n = 64 in every case.

(d) Based on 128-point DFfs, plot the magnitude and phase responses for two typical examples in part (c).

(e) Compare the time-domain and frequency-domain properties of the two glottal pulse models. What realistic time-domain feature of the Rosenberg pulse is apparently unachievable with the two-pole model? How is this feature manifest in the phase spectrum.