Convolution

TIME DOMAIN ANALYSIS

Linear Time-Invariant System

ExampleExample

Example

Example

Properties of System

Stability

Stability

CausalityCausality

ExampleExample

Difference Equations

Difference Equations

Finite Impulse Response (FIR): for causal, FIR systems:

Mnandnnh 0 0

1

0

M

kknxkhny

Convolution reduces to:

Infinite Impulse Response (IIR):

Finite impulse responseFinite Impulse Response

Infinite Impulse Response

IIR: AccumulatorIIR: Accumulator

(BIBO) stable

LTI Summary