Discrete-Time Convolution

n

-2

Signal 1

truncated sinc

rectangular

causal exponential

Signal 2

truncated sinc

rectangular

causal exponential

unit step

The convolution of two discrete-time signals

h(n)

and

x(n)

is defined as

y(n)=h(n)⋆x(n)=

∞

∑

k=-∞

h(k)x(n-k)

.

The left column shows

h(k)

and below

x(n-k)

over

k

. The right column shows the product

h(k)x(n-k)

over

k

and below the result

y(n)

over

n

.

External Links

Convolution Sum

Convolution with a Rectangular Pulse

Permanent Citation

Carsten Roppel

"Discrete-Time Convolution"
http://demonstrations.wolfram.com/DiscreteTimeConvolution/
Wolfram Demonstrations Project
Published: December 1, 2011