ECE 6364 Spring 2009 HW 2 Due 2/9
Problem 1. Fundamentals of Digital Image Processing - Jain: Problem 2.5 a
Problem 2. Fundamentals of Digital Image Processing - Jain: Problem 2.14 a
Problem 3. Consider the simple matrix ⎥
⎦
⎤
⎢
⎣
⎡
−
=22
22
8
1
A. Is the matrix A: a) symmetric? b) toeplitz?
c) circulant? d) singular or non-singular? e) invertible?
Problem 4. Fundamentals of Digital Image Processing - Jain: Express the 2-D convolution of problem 2.5a.ii
as a doubly Toeplitz block matrix operating on a 6x1 vector obtained by column ordering of ),( nmx . (as in
Problem 2.16-Jain, but just do part 2.5a.ii).