Question: A discrete-time signal x(n) is defined as (a) Determine its values and sketch the signal x(n). (b) Sketch the signals that result if we: (1)

A discrete-time signal x(n) is defined as

-3 <n< -1 0 sns 3 elsewhere 1. x{n) = 0.


(a) Determine its values and sketch the signal x(n).

(b) Sketch the signals that result if we:

(1) First fold x(n) and then delay the resulting signal by four samples.

(2) First delay x(n) by four samples and then fold the resulting signal.

(c) Sketch the signal x(-n + 4).

(d) Compare the result in parts (b) and (c) and derive a rule for obtaining the signal x(-n + k) from x(n).

(e) Can you express the signal x(n) in terms of signals δ(n) and u(n)? 

-3

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