deconv

Signal Processing Toolbox

Deconvolution and polynomial division.

[q,r] = deconv(b,a)

Description

[q,r] = deconv(b,a)

deconvolves vector a out of vector b, using long division. The result (quotient) is returned in vector q and the remainder in vector r such that b = conv(q,a) + r.

If a and b are vectors of polynomial coefficients, convolving them is equivalent to polynomial multiplication, and deconvolution is equivalent to polynomial division. The result of dividing b by a is quotient q and remainder r.

deconv is part of the main MATLAB environment.

Example

The convolution of a = [1 2 3] and b = [4 5 6] is

c = conv(a,b)

c =

    4    13    28    27    18

Use deconv to divide b back out:

[q,r] = deconv(c,a)

q =

    4    5    6
r =

    0    0    0    0    0

Algorithm

This function is an M-file in the MATLAB environment that uses the filter primitive. Deconvolution is the impulse response of an IIR filter.

`conv`	Convolution and polynomial multiplication.
`filter`	Filter data with a recursive (IIR) or nonrecursive (FIR) filter.
`residuez`	z-transform partial fraction expansion.