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conv

discrete 1-D convolution.

Syntax

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 resultC 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 resultC 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)

• convol — convolution
• conv2 — discrete 2-D convolution.

Used Functions

The conv function is based on the conv2 builtin.

History

 Version Description 5.4.0 Function conv introduced.