Signal Processing Toolbox

conv

Convolution and polynomial multiplication.

Syntax

c = conv(a,b)

Description

c = conv(a,b) convolves vectors a and b. The convolution sum is

where N is the maximum sequence length. The series is indexed from n + 1 and k + 1 instead of the usual n and k because MATLAB vectors run from 1 to n instead of from 0 to n-1.

The conv function is part of the standard MATLAB language.

Example

The convolution of a = [1 2 3] and b = [4 5 6] is

c = conv(a,b)
c =
    4    13    28    27    18

Algorithm

The conv function is an M-file that uses the filter primitive. conv computes the convolution operation as FIR filtering with an appropriate number of zeros appended to the input.

See Also

conv2	Two-dimensional convolution.
convmtx	Convolution matrix.
convn	N-dimensional convolution (see the MATLAB documentation).
deconv	Deconvolution and polynomial division.
filter	Apply a filter to data.
residuez	z-transform partial fraction expansion.
xcorr	Cross-correlation function estimate.

cohere

conv2