(Solution) - Let h1p n denote the impulse response of an ideal lowpass -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Let h1p[n] denote the impulse response of an ideal lowpass filter with unity passband gain and cutoff frequency ?c = ?/4. Figure 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 ?c. In each case, specify whether the system is a lowpass, highpass, bandpass, bandstop, or multiband filter.