| Signal Processing Toolbox | |
Deconvolution
Deconvolution, or polynomial division, is the inverse operation of convolution. Deconvolution is useful in recovering the input to a known filter, given the filtered output. This method is very sensitive to noise in the coefficients, however, so use caution in applying it.
[q,r] = deconv(b,a)
where b is the polynomial dividend, a is the divisor, q is the quotient, and r is the remainder.
To try deconv, first convolve two simple vectors a and b (see Chapter 1, Signal Processing Basics, for a description of the convolution function).
a = [1 2 3];
b = [4 5 6];
c = conv(a,b)
c =
4 13 28 27 18
Now use deconv to deconvolve b from c.
[q,r] = deconv(c,a)
q =
4 5 6
r =
0 0 0 0 0
See the System Identification Toolbox User's Guide for advanced applications of signal deconvolution.
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