HWVI_1

# HWVI_1 - ECE 3250 HOMEWORK ASSIGNMENT VI Fall 2009 1 Show...

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

Unformatted text preview: ECE 3250 HOMEWORK ASSIGNMENT VI Fall 2009 1. Show that every continuous-time system with input space X consisting of all decent signals and and system mapping of the form S ( x ) = Conv h ( x ) + N X k =1 d k Shift t k ( x ) , where h is decent and has finite duration, has a frequency response. 2. Show that every (causal) BIBO stable continuous-time system has a frequency re- sponse. Also, find the impulse response h of some causal continuous-time system that doesn’t have a frequency response. 3. A certain LTI system has frequency response b H with specification b H (Ω) = 1 3 + j Ω for all Ω ∈ R . Let x be the signal with Fourier series x ( t ) = ∞ X k =-∞ 1 k 2 + 1 e jk 17 t . Find a Fourier series for the system’s output S ( x ) in response to input x . Why might one say that the system acts as a crude low-pass filter? 4. Consider the averager system whose input space X is the set of all decent F-valued signals and whose system mapping is S ( x )( t ) = 1 T o Z t t- T o x...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

HWVI_1 - ECE 3250 HOMEWORK ASSIGNMENT VI Fall 2009 1 Show...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online