DADiSP Worksheet Functions > Function Categories > Fourier Transforms and Signal Processing > DECONV
Performs deconvolution of two series in the time domain.
DECONV(b, a)
(q, r) = DECONV(b, a)
b |
- |
A series or array. |
a |
- |
A series or array. |
A series such that b = conv(a, q) + r.
a = {1, 2, 3};
x = {1, 0, -1, 2};
b = conv(a, x);
(q, r) = deconv(b, a);
b == {1, 2, 2, 0, 1, 6}
q == {1, 0, -1, 2}
r == {0, 0, 0, 0, 0, 0}
(q, r) = deconv({1, 5, 1, 2}, a)
q == {1, 3}
r = {0, 0, -8, -7}
conv(q, a) + r == {1, 5, 1, 2}
If a and b represent polynomial coefficients, q will contain the quotient of the polynomial and r the lowest order remainder polynomial.
DECONV implements deconvolution by using FILTEQ to find the impulse response of the system:
H(z) = B(z) / A(z)
Where B(z) is the
See FDECONV for the frequency domain implementation.