HW3 solution (revised)

HW3 solution (revised) - 2.21 (a) y[n] x[n]* h[ n] x[k ]h[n...

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2.21 (a) 00 11 [] []*[] [][ ] [ ] () , 0 , 0 The eq. above can also be written as: [ ] , k kn k k nn k n k kk y nx n h n xkhn k uk un k for n for n and un for          (c) 3 40 0 2 ] 1 [4 ] 4 [ 2 ] 2 1 4( ) [ 4 ] [ 2 ] ( 1 ) 8 6, (1) 1 ) 4 ( ( ) ( ) )( 2 ) 88 8 6, 1 ) 8 k k k nk k n k k k yn xn hn u n k u if n then becomes if n then becomes    1 4 4 (() ) ( 3 ) From (2) and (3), we can obtain 81 4( ) ( ), 6 98 ( ), 6 92 n k n n n n  
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(d) [] []*[] [][ ] [ 0 ] [ ][ 1 ] [1 2 ] [2 3 ] [3 4 ] [4 ] since x[n]=1, for n=1~4, the eq. above thus becomes: [ ][1 ][2 ][3 ][4 ] k yn xn hn xkhn k x hn x hn x x   
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HW3 solution (revised) - 2.21 (a) y[n] x[n]* h[ n] x[k ]h[n...

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