Practice questions - California State Polytechnic...

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California State Polytechnic University, Pomona Electrical & Computer Eng. Dr. Z. Aliyazicioglu ECE 306 - 02 Introduction to Discrete Time Signals & Systems Practice Questions Name :__________________________ February 4, 2008 1. Using table method, find  ( ) y n  and graph your answer versus n for the following system: ( ) {...0,2,2,3,2,0...} ) = x n 1 ( ) [ ( 1) ( 4)] h n n u n u n = - - - [ ] 2 ( ) (2 1) ( 1) ( 3) n h n u n u n = + + - - Answer:  ( ) {0,3,7,16.5,31,36,35,23,6,0} ) = y n 2. Using table method, find  ( ) y n  and graph your answer versus n for the following system: ( ) {2,1,3,1,} ) = x n 1 ( ) ( )[ ( ) ( 4)] = - - h n n u n u n 1 ( ) {0,1,2,3} ) = h n 2 ( ) {1,3,4,2} ) = h n Practice 1 h 1 (n) h 2 (n) x(n) y 1 (n) y (n) + y 2 (n) h 1 (n) h 2 (n) x(n) y 1 (n) y (n) + y 2 (n) z -1
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Answer: ( ) {0,2,9,19,29,27,21,5,0} ) = y n 3.   a. Write the difference equation for the following system b. Determine the response  ( ), 0 y n n r of the following system for the input  ( ) 2 ( ) n x n u n = The  initial values are  ( 1) ( 2) 1 y y - = - = . Answer:  a.  ( ) ( 1) 0.25 ( 2) ( ) 0.75 ( 1) = - - - - + - - y n y n y n x n x n b.  ( ) 0.65( 0.5) 0.25 ( 0.5) 0.4(2) ( ) = - - - - + n n n y n n u n
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  • Winter '08
  • Aliyazicioglu
  • State Polytechnic University, Discrete Time Signals, Dr. Z. Aliyazicioglu, Table method, answer versus

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