Question

The system described by the input-output equations y(n)=x^2(n) is a Non-linear system.

(a) True

(b) False

The question was asked in quiz.

Enquiry is from Discrete Time Systems topic in chapter Discrete Time Signals and Systems of Digital Signal Processing

Answer 1

Right choice is (a) True

To explain: Given equation is y(n)=x^2(n)

Let y1(n)=x1^2(n) and y2(n)=x2^2(n)

y3(n)=y1(n)+y2(n)= x1^2(n)+ x2^2(n)≠(x1(n)+x2(n))^2

So the system is non-linear.