Suppose that you have used the parks-McClellan algorithm to design a causal FIR linear-phase system. The system function of this system is denoted H(z). The length of the impulse response is 25 samples, h[n] = 0 for n < 0 and for n > 24, and h[0] ≠ 0. For each of the following questions, answer “true”, “false”, or insufficient information given”;

(a) h[n + 12] = h[12 – n] or h[n + 12] = − h[12 – n] for −∞ < n < ∞.

(b) The system has a stable and causal inverse,

(c) We know that H(−1) = 0.

(d) The maximum weighted approximation error is the same in all approximation bands.

(e) The system can be implemented by a signal flow graph that has no feedback paths.

(f) The group delay is positive for 0 < ω < π.