Assume that the two linear systems in the cascade shown in Figure P5.46 are linear phase...

Assume that the two linear systems in the cascade shown in Figure P5.46 are linear phase FIR filters. Suppose that H₁(z) has order M₁ (impulse response length M₁ + 1) and H₂(z) has order M₂. Suppose that the frequency responses are of the form H₁(e^jω) = A₁(e^jω)e^−jωM1/2 and H₂(e^jω) = jA₂(e^jω)e^−jωM2/2, where M₁ is an even integer and M₂ is an odd integer.

(a) Determine the overall frequency response H(e^jω).

(b) Determine the length of the impulse response of the overall system.

(c) Determine the group delay of the overall system.

(d) Is the overall system a Type I, Type II, Type III, or Type-IV generalized linear-phase system?