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See the recommended documentation of this function

# 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)```

### Used Functions

The conv function is based on the conv2 builtin.

### History

 Version Description 5.4.0 Function conv introduced.