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  3. 1 let the impulse response hn be given by the...

Question: 1 let the impulse response hn be given by the...

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1. Let the impulse response h[n] be given by the piece-wise defined sequence 1, -3-n-3. hlnl:ー10, otherwise Convolve h[n] with the following input signals. In each case. write the convolution result y n = h n *x n as a piece-wise defined sequence (a) złn] = alni, where lal < 1 (b) r2n-aun, where lal < 1 (c) xaln] = an (u[n]-u[n-10) (d) r4n]x2n] +3r2[n - 10] (hint: use linearity and time invariance) (e) x1n_ e2nfr (everlasting complex exponential) and evaluate the output when f-and when f = (f) 26 [n-ej2nfnu[n] (causal complex exponential) and evaluate the output when f (g) Is the system with impulse response h[n] causal? (h) Is the system with impulse response h|n] stable?

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