Unformatted text preview: 1 n n y n n x n x n y − = − − = − = . Therefore, the system is time-invariant. e) If C n x ≤ ] [ for all n , then C n x n y ≤ − = ] 1 [ ] [ for all n . Hence the system is stable. 4. (a) No; e.g., ) ( ) ( x y = − π (b) Yes. The reason is shown below: Let and )) (sin( ) ( 1 1 t x t y = )) (sin( ) ( 2 2 t x t y = . Consider the following input signal: ) ( ) ( ) ( 2 1 t bx t ax t x + = . The corresponding output is: ) ( ) ( )) (sin( )) (sin( )) (sin( ) ( 2 1 2 1 t by t ay t bx t ax t x t y + = + = =...
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This note was uploaded on 11/22/2009 for the course ELECTRONIC EE3210 taught by Professor Sungchiwan during the Spring '09 term at École Normale Supérieure.
- Spring '09