Consider a general flow graph (denoted Network A) consisting of coefficient multipliers...

Consider a general flow graph (denoted Network A) consisting of coefficient multipliers and delay elements, as shown in Figure P6.36-1. If the system is initially at rest, its behavior is completely specified by its impulse response h[n].We wish to modify the system to create a new flow graph (denoted Network A₁) with impulse response h₁[n] = (−1)ⁿh[n].

(a) If H(e^jω) is as given in Figure P6.36-2, sketch H₁(e^jω).

(b) Explain how to modify Network A by simple modifications of its coefficient multipliers and/or the delay branches to form the new Network A₁ whose impulse response is h₁[n].

(c) If Network A is as given in Figure P6.36-3, show how to modify it by simple modifications to only the coefficient multipliers so that the resulting Network A₁ has impulse response h₁[n].