Change language to:
English - 日本語 - Português - Русский

Please note that the recommended version of Scilab is 2024.1.0. This page might be outdated.
See the recommended documentation of this function

# 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.
 Report an issue << Convolution - intercorrélation Convolution - intercorrélation conv2 >>

 Copyright (c) 2022-2024 (Dassault Systèmes)Copyright (c) 2017-2022 (ESI Group)Copyright (c) 2011-2017 (Scilab Enterprises)Copyright (c) 1989-2012 (INRIA)Copyright (c) 1989-2007 (ENPC)with contributors Last updated:Tue Feb 25 08:50:22 CET 2020