O'Reilly logo

Signals and Systems by Smarajit Ghosh

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

SHORT QUESTIONS AND ANSWERS

 

Q1. Define the convolution of x(t) with h(t).

Ans.: The convolution of x(t) with h(t) is defined by

 

image

 

Hence the output y(t) is the convolution of h(t) and x(t).

∴         (y) = Convolution of h(t) and x(t) =x(t) * h(t) = image

The symbol ‘*’ in Eq. (7.2) stands for convolution.

 

Q2. State the properties of linear convolution.

Ans.: The linear convolution possesses the following properties:

Commutative property:         x1(T)*x2(t) = x2(t)*x1(t)

Associative property:      x1(t)*[x2(t) *x3(t)] = [x1(t)*x2(t)] *x3(t)

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required