Question

The convolution of two signals ()={1,2,3} and ℎ()={3,2,1} is equal to

Answer 1

Answer:

pls mark me as brainlist

Explanation:

Convolution

Convolution is a mathematical operation used to express the relation between input and output of an LTI system. It relates input, output and impulse response of an LTI system as

y(t)=x(t)∗h(t)y(t)=x(t)∗h(t)

Where y (t) = output of LTI

x (t) = input of LTI

h (t) = impulse response of LTI

There are two types of convolutions:

Continuous convolution

Discrete convolution

Continuous Convolution



y(t)=x(t)∗h(t)y(t)=x(t)∗h(t)

=∫∞−∞x(τ)h(t−τ)dτ=∫−∞∞x(τ)h(t−τ)dτ

(or)

=∫∞−∞x(t−τ)h(τ)dτ=∫−∞∞x(t−τ)h(τ)dτ

Discrete Convolution



y(n)=x(n)∗h(n)y(n)=x(n)∗h(n)

=Σ∞k=−∞x(k)h(n−k)=Σk=−∞∞x(k)h(n−k)

(or)

=Σ∞k=−∞x(n−k)h(k)=Σk=−∞∞x(n−k)h(k)

By using convolution we can find zero state response of the system.