deconv (MATLAB Functions)

Deconvolution and polynomial division

Syntax

```
[q,r] = deconv(v,u)
```

Description

[q,r] = deconv(v,u) deconvolves vector u out of vector v, using long division. The quotient is returned in vector q and the remainder in vector r such that v = conv(u,q)+r.

If u and v are vectors of polynomial coefficients, convolving them is equivalent to multiplying the two polynomials, and deconvolution is polynomial division. The result of dividing v by u is quotient q and remainder r.

Examples

```
u = [1   2   3   4]
v = [10   20   30]
```

the convolution is

c = conv(u,v)
c =
    10     40     100     160     170     120

Use deconvolution to recover u:

[q,r] = deconv(c,u)
q =
    10    20    30
r =
    0      0      0      0      0      0

This gives a quotient equal to v and a zero remainder.

Algorithm

deconv uses the filter primitive.

See Also

conv, residue

decic del2