Let h1p[n] denote the impulse response of an ideal lowpass filter with unity passband ga...

Let h_1p[n] denote the impulse response of an ideal lowpass filter with unity passband gain and cutoff frequency ω_c = π/4. Figure P5.21 shows five systems, each of which is equivalent to an ideal LTI frequency-selective filter. For each system shown, sketch the equivalent frequency response, indicating explicitly the band-edge frequencies in terms of ω_c. In each case, specify whether the system is a lowpass, highpass, bandpass, bandstop, or multiband filter.