Mathematics

Convolution and Deconvolution

Polynomial multiplication and division correspond to the operations convolution and deconvolution. The functions conv and deconv implement these operations.

Consider the polynomials and . To compute their product,

• a = [1 2 3]; b = [4 5 6];
  c = conv(a,b)
  
  c =
       4    13    28    27    18
  

Use deconvolution to divide back out of the product.

• [q,r] = deconv(c,a)
  
  q =
       4     5     6
  
  r =
       0     0     0     0     0
  

Polynomial Evaluation

Polynomial Derivatives