Unformatted text preview: the lecture notes. (a) Is the system linear? (b) Is the system timeinvariant? (c) Is the system causal? (d) Say  a  < 1. Is the system stable? (e) What is the impulse response of the system? (f) What does the impulse response tell us about stability and causality? 3. Consider a continuoustime system H c whose output, given input { x ( t ) } ∀ t , is given by y ( t ) = d dt x ( t ), i.e., the derivative (or slope) of x ( t ). For parts (a)(d), prove your claim using the properties summarized on page 4 of the lecture notes. (a) Is the system linear? (b) Is the system timeinvariant? (c) Is the system causal? (d) Is the system stable? P. Schniter, 2011 1...
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 Spring '08
 Clymer,B
 Digital Signal Processing, Signal Processing, Impulse response

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