conv

Signal Processing Toolbox

Convolution and polynomial multiplication.

c = conv(a,b)

Description

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.

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

This function is part of the MATLAB environment. It 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 MATLAB Function Reference).
`deconv`	Deconvolution and polynomial division.
`filter`	Filter data with a recursive (IIR) or nonrecursive (FIR) filter.
`residuez`	z-transform partial fraction expansion.
`xcorr`	Cross-correlation function estimate.

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