# hw7 - ECE425 Fall 2006 Homework Set 7 Your solutions to...

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ECE425 Fall 2006 Homework Set 7 Your solutions to these problems are due in the ECE425 hand-in box at 5:00 PM on Wednesday, Oct. 25, 2006. The hand-in box is located outside the south entrance to Phillips Hall 219 (usual place) and we use the upper right hand box. No late homework will be accepted without an official university excuse. Please work on these problems well in advance of the due date as we fully expect you may have questions and/or need suggestions. Problem 19: FOUR CASES OF “LINEAR PHASE” Consider an impulse response h(n) for n=0 to n=N-1. The length could be either even or odd of course. Further, the impulse response could have symmetry. If it has symmetry, the symmetry could be even or odd. For example: (O-E) Odd length, even symmetry: 1 2 3 4 5 4 3 2 1 (E-E) Even length, even symmetry: 1 2 3 4 4 3 2 1 (O-O) Odd length, odd symmetry: -1 -2 -3 0 3 2 1 (E-O) Even length, odd symmetry: -1 -2 -3 3 2 1 For each case, write down an expression for the DTFT, take out a phase term

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hw7 - ECE425 Fall 2006 Homework Set 7 Your solutions to...

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