and odd since this is the only ecse 2410 signals

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: he only ECSE-2410 Signals & Systems Fall 2012 Graded by Jie Chen HW#2 Solutions f. y(t) = f(cos(t)), where f(u) = u3 + u Periodic with fundamental period ( ) ( since ( )) Also, this is an even function since ( ( ) ( ( 2. (20 points: 4 points each part) a. Sketch ( ) () ( Recall from class that ( ) ). ( ), so we have 1 1/2 -1 b. Sketch [ Recall from class that [ [ 0 1 [ . [ ], so we have 3 1 -1 0 1 )) ( )) ( ( )) ( ) ( ( ( )) ( )) () () ( ). ECSE-2410 Signals & Systems Fall 2012 Graded by Jie Chen HW#2 Solutions c. Evaluate et (t 2) (t 10)dt . For parts (c) and (d), we apply the rule for delta functions that ∫ () ( ) { ∫ () ( So for (c), we have [( ∫ d. Evaluate ∫ [( 4 4 ) ( )] ) ( ∫ ) e t (t 2) (t 10)dt . (Note the limits on the integral!) ) ( )] ∫ ( ) ∫ ( ) f. Consider a discrete-time function with x[-2] = 5, x[-1] = 2, x[3] = -3, and x[n] = 0 for all other n. Write an expression for x[n] in terms of delta functions. [ [ [...
View Full Document

This note was uploaded on 02/28/2013 for the course ECSE 2410 taught by Professor Wozny during the Fall '07 term at Rensselaer Polytechnic Institute.

Ask a homework question - tutors are online