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Unformatted text preview: 4. An LTI system has an impulse response given by h ( t ) = b t t 1 otherwise a. For an input of x ( t ) = u ( t )-u ( t-2), use convolution to determine the output y ( t ) = x ( t ) * h ( t ). b. Draw graphs of x ( t ), h ( t ), and y ( t ). 5. An LTI system has the following impulse response and input. h ( t ) = 3 u ( t-5)-3 u ( t-1) x ( t ) = 2 u ( t )-2 u ( t-2) Find the system output y ( t ) = x ( t ) * h ( t ). You can nd the result by expanding the convolution into four terms and then use linearity and time-invariance and the results in Example 9-9 in the text. You dont have to use integration. 1...
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