Deconvolution and polynomial division
deconvolves a vector
v out of a vector
long division, and returns the quotient
q and remainder
r such that
u = conv(v,q) + r. If
v are vectors of polynomial
coefficients, then deconvolving them is equivalent to dividing the polynomial
u by the polynomial represented by
Create two vectors
v containing the coefficients of the polynomials and , respectively. Divide the first polynomial by the second by deconvolving
v out of
u, which results in quotient coefficients corresponding to the polynomial and remainder coefficients corresponding to .
u = [2 7 4 9]; v = [1 0 1]; [q,r] = deconv(u,v)
q = 1×2 2 7
r = 1×4 0 0 2 2
u,v— Input vectors
Input vectors, specified as either row or column vectors.
v can be different lengths or data types.
If one or both of
v are of type single, then the output is
also of type single. Otherwise,
The lengths of the inputs should generally satisfy
length(v) <= length(u). However, if
length(v) > length(u), then
deconv returns the outputs as
q = 0 and
r = u.
Complex Number Support: Yes
Quotient, returned as a row or column vector such that
Remainder, returned as a row or column vector such that
Usage notes and limitations:
See Variable-Sizing Restrictions for Code Generation of Toolbox Functions (MATLAB Coder).