hw7 - EE210 Signal Systems (March 31, 2009) Home Work Set 7...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
EE210 Signal Systems (March 31, 2009) Home Work Set 7 1. Let h ( n ) be the impulse response of a linear shift-invariant filter. Prove that the filter is BIBO stable iff X n = -∞ | h ( n ) | < . 2. Derive the inverse DTFT expression using the orthogonality property of the complex exponential sequence { e jωn } n = -∞ 3. Show that [ Sinc ( t - nT T )] * [ Sinc ( t - mT T )] = TSinc ( t - ( n + m ) T T ) Sinc ( t/T ) , Sinc πt/T πt/T 4. Show that, in general, a frequency function having the following form H ( e ) = N X k =0 a k e - jkω N X k =0 a N - k e - jkω will be ’all pass’, i.e. | H ( e ) | = 1 , ω 5. Let p ( t ) is periodic signal with period
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/01/2012 for the course EE 210 taught by Professor Prof.h.narayanan during the Spring '07 term at IIT Bombay.

Page1 / 2

hw7 - EE210 Signal Systems (March 31, 2009) Home Work Set 7...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online