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Unformatted text preview: ose output y (t ) for an input x (t ) is defined by: t
y ( t ) = e− t ∫ eτ x (τ ) dτ . t −T
Show that the system is LTI and find its impulse response. €
3. Suppose that x ( t ) = sinc( t ) is input to a LTI system. For each of the following two cases, say whether or not it is possible for the output of the LTI system to be the given signal y ( t ) . If it is possible, give the frequency response of a system that would produce the output. If it is not possible, say why not. €
⎛ྎ t ⎞ྏ
y ( t ) = sinc⎜ྎ ⎟ྏ
a. ⎝ྎ 2 ...
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This homework help was uploaded on 03/06/2014 for the course ECE 563 taught by Professor Goeckel during the Fall '11 term at UMass (Amherst).
 Fall '11
 Goeckel
 Signal Processing

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