Matrix Interpretation of Convolution 1.1 2004/07/21 14:27:46 GMT-5 2004/07/29 15:27:23.789 GMT-5 Richard G. Baraniuk richb@rice.edu Richard G. Baraniuk richb@rice.edu Harika Basana ilsai@rice.edu Malan Shiralkar mshiralkar05@hotmail.com matrix interpretation convolution elec 301 In this section, you will learn about Matrix Interpretation of Convolution.

C^N Case

y H x y n k 0 N 1 h n k N x k 0 n N 1

∞-length Case

y n k h n k x k Write as a matrix multiply. y H ∞ x What is the structure of H ∞ ?