1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2...

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1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2...

1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2 zero . Determine the outputs when the input x(n) is (a) u(n ) ; (b) u(n−4 )

2. Let the rectangle pulse x ( n )=u ( n ) −u (n −10 ) be an input to an LTI system with impulse response h (n )=(0.9 )n u (n ) . Determine the output y ( n ) . (Hint: You need to consider muliple cases to get close-form soluions)

3. Given the following two sequences x (n)=[3 , 11,7 ,0 ,−1, 4 ,2 ],−3≤n≤ 3 ; h (n )=[2,3 ,0 ,−5, 2,1 ] ,−1≤n≤ 4. (a) Use the deiniion to determine the convoluion y ( n )= x ( n )∗h (n ) (b) Compare your result in (a) with that obtained by MATLAB

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1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2...

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1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2...

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