1.

The even part of a signal x(t) is?(a) x(t)+x(-t)(b) x(t)-x(-t)(c) (1/2)*(x(t)+x(-t))(d) (1/2)*(x(t)-x(-t))I got this question by my college director while I was bunking the class.This interesting question is from Classification of Signals in section DSP – Basic Signaling of Digital Signal Processing

Answer»

Correct choice is (C) (1/2)*(x(t)+x(-t))

The BEST I can EXPLAIN: Let x(t)=xe(t)+XO(t)

=>x(-t)=xe(-t)-xo(-t)

By adding the above two EQUATIONS, we get

xe(t)=(1/2)*(x(t)+x(-t)).



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