Computer Lecture 8

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conv and deconv Function
Polynomial multiplication and division correspond to the operations convolution and deconvolution. The functions conv and deconv implement these operations.
1. w = conv(u,v) returns the convolution of vectors u and v. If u and v are vectors of polynomial coefficients, convolving them is equivalent to multiplying the two polynomials.
2. [q,r] = deconv(u,v) deconvolves a vector v out of a vector u using long division, and returns the quotient q and remainder r such that u = conv(v,q)+r. If u and vare vectors of polynomial coefficients, then deconvolving them is equivalent to dividing the polynomial represented by u by the polynomial represented by v.
Examples
Create vectors u and v containing the coefficients of the polynomials x^2+1 and 2x+7. Use convolution to multiply the polynomials. Write the resulting polynomial as a mathematical expression


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