{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Assignment3_w10

# Assignment3_w10 - Carleton University Department of Systems...

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

1 of 2 Carleton University Department of Systems and Computer Engineering SYSC-4405: Digital Signal processing Winter Semester 2010 Assignment # 3 Date Due: March 5, 2010, before 1:00 p.m. ______________________________________________________________________________ Problem 1 Determine the z-transform of the following signals and sketch the corresponding pole-zero pat- tern a) , a is real and N is a positive integer. b) Problem 2 Compute the convolution of the following signals by means of the z-transform and Problem 3 a) Determine the causal signal having the z-transform b) Determine, in closed form, the causal signal whose z-transform is partially check your results by computing and using an alternative method. Problem 4 Compute the zero-state response for the following system when the input is Is the system stable? Problem 5 We want to design a causal discrete-time LTI system with the property that if the input is x n ( ) a n 2 π n N --------- sin u n ( ) u n N ( ) [ ] = x n ( ) 1 2 -- n 2 1 3 -- ⎝ ⎠ ⎛ ⎞ n 1 u n 1 ( ) = x 1 n ( ) 1 3 -- ⎝ ⎠ ⎛ ⎞ n u n ( ) = x 2 n ( ) u n ( ) = X z ( ) 1 1 1 2 -- z 1 1 z 1 ( ) 2 ------------------------------------------------

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.

{[ snackBarMessage ]}