conv

discrete 1-D convolution.

Calling Sequence

C = conv(A,B [,shape])

Parameters

:A a real or complex vector. : :B a real or complex vector. : :shape an optional character string with possible values:

• “full”, conv computes the full convolution. It is the default value.
• “same”, conv computes the central part of the convolution of the same size as A.
• “valid”, conv computes the convolution parts without the zero- padding of A.

: :C a real or complex vector. :

Description

conv uses a straightforward formal implementation of the one- dimensional convolution equation in spatial form.

C=conv(A,B [,shape]) computes the one-dimensional convolution of the vectors A and B:

• With shape==”full” the dimensions of the result C are given by size(A,’*’)+size(B,’*’)+1. The indices of the center element of B are defined as floor((size(B,’*’)+1)/2).
• With shape==”same” the dimensions of the result C are given by size(A). The indices of the center element of B are defined as floor((size(B,’*’)+1)/2).
• With shape==”valid” the dimensions of the result C are given by size(A,’*’)-size(B,’*’)+1) if and(size(A,’*’)-size(B,’*’))>=0 else C is empty . The indices of the center element of B are defined as 1.

Note that `convol`_ can be more efficient for large arrays.

Examples

A=1:10;
B=[1 -1];
conv(A,B)

See Also

• `convol`_
• `conv2`_

Used Functions

The conv function is based on the `conv2`_ builtin.

History

Version Description 5.4.0 Function conv introduced. .. _conv2: conv2.html .. _convol: convol.html