A discrete-time signal x(n) is defined as (a) Determine its values and sketch t...

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. 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 results 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 (n) and u(n)?