In the system shown in Figure P7.22, the discrete-time system is a linear-phase FIR lowp...

In the system shown in Figure P7.22, the discrete-time system is a linear-phase FIR lowpass filter designed by the Parks–McClellan algorithm with δ₁ = 0.01, δ₂ = 0.001, ω_p = 0.4π, and ω_s = 0.6π. The length of the impulse response is 28 samples. The sampling rate for the ideal C/D and D/C converters is 1/T = 10000 samples/sec.

(a) What property should the input signal have so that the overall system behaves as an LTI system with

(b) For the conditions found in (a), determine the approximation error specifications satisfied by Give your answer as either an equation or a plot as a function of Ω.

(c) What is the overall delay from the continuous-time input to the continuous-time output (in seconds) of the system in Figure P7.22?