{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

PS4-2010

# PS4-2010 - ﬁlter(b Consider the above ﬁlter when k 1...

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

ECE161A April 21, 2010 Discrete Time Signal Processing Professor T. Javidi Problem Set #4 Due: April 29th, 2010 1. Consider a causal ﬁlter whose output-input relation is k 1 y [ n ] + 3 y [ n - 2] = k 2 x [ n ] + k 3 x [ n - 1] - x [ n - 2] . (a) Pick a set of values for k 1 , k 2 , and k 3 to ensure that the output to the signal x [ n ] = cos(Ω n ) is a signal with amplitude 1, for all Ω [This is called an all pass
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ﬁlter]. (b) Consider the above ﬁlter when k 1 =-3 , k 2 =-1 , and k 3 = 0 . Find its magnitude and phase response. Furthermore, calculate the output of the system when the input is cos[ πn 4 ] + cos[ πn 2 ] . 2. Problem 3.15 3. Problem 3. 23 4. Problem 7.15 5. Problem 7.21 Bonus Problem 3.11...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online