Question: 1 . a) Evaluate the convolution of two Sequences ay han] = ( 0 . 5 ) usn) and x [ n] = 30

1 . a) Evaluate the convolution of two Sequences ay han] = ( 0 . 5 ) " usn) and x [ n] = 30 u [-n] b). Consider a system described by the difference equation you] = y [ n-1 ] - y Cn- 2] + 0.5 X ( n ] + 0-5 x [ n-1] a) Fund the transfer functionof the system b) Find the poles and zeros the system. Draw the PZ plot . ( ) said the impulse response of the System d ) If the miput to the System is x [ n] = ( 0 -5 ) u (a) and Me System starts from nest , fund y ( ] . 2. and the universe of Racha these a-have forme . ( as X 1 2 ) = 4 + 3 ( 2+ 2 2 ) 0

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