This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: EE114 Introduction to Speech and Image Processing Winter Quarter, 2010 Midterm Exam 1. (30 points) Signal processing foundations a) (7 points) Assume that ( 29 x n and ( 29 h n are discrete, aperiodic signals specified as follows: x(n) = [1 3 4 1] h(n) = [1 2 1] As is customary, the underbar indicates the location of the origin. Find ( 29 y n , where ( 29 ( 29 ( 29 * y n x n h n = b) (15 points) Consider a discrete sequence x n ( 29 and its DTFT X ( 29 : x n ( 29 X ( 29 Now consider the discrete sequence ( 29 ( 29 y n nx n = . Denote the DTFT of y n ( 29 by ( 29 Y . Express (in the most simplified form possible) ( 29 Y in terms of ( 29 X . c) (8 points) Consider the following statement: A signal of the form ( 29 ( 29 1 cos 2 f t f t = + , where 1 and f are constants, subjected to ideal sampling at a sampling frequency of 1 2 f , can be reconstructed with no error. Is this statement always true, and if not, under what conditions will it be true?...
View Full Document