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Unformatted text preview: x ( t ) and returns the even part of x ( t ) as its output x e ( t ) = H ( x ( t )) where x e ( t ) is the even part of x ( t ) . Is this system linear? Is it time invariant? 2 5. System Equations from Block Diagrams Find the differential equation that correspond to this block diagram. Hint: Label all of the intermediate signals, and write equations for each. + y--+ x + + b a 6. It is often useful to represent operations on signals as convolutions. For each of the follow-ing, nd a function h ( t ) such that y ( t ) = ( x * h )( t ) . (a) y ( t ) = Z t- x ( ) d (b) y ( t ) = Z t t-T x ( ) d (c) y ( t ) = x ( t ) (d) y ( t ) = x ( t-1)...
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- Fall '11