(a) A finite sequence b[n] is such that: Explain the structure of b[n]. Is...

(a) A finite sequence b[n] is such that:

Explain the structure of b[n]. Is there any constraint on the length of b[n]?

(b) Is it possible to have B(z) = H(z)H(z ⁻¹⁾? Explain.

(c) A length-N filter H(z) is such that,

Find G₀(z) and G₁(z) such that the filter shown in Figure P4.48 is LTI:

(d) For G₀(z) and G₁(z) given in part (c), does the overall system perfectly reconstruct the input? Explain.