presec8 - ECE 2200: Section VIII Problems (Week 9 / Spring...

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Unformatted text preview: ECE 2200: Section VIII Problems (Week 9 / Spring 2009) 1) Consider the LTI system to which the input ? = 0.5 +1 + 2 0.7 is applied producing the output ? = 6 0.5 6 0.75 a) Compute the ?-transform ( ? ) of the input signal ? [ ] as a single ratio of two factored polynomials in ? . b) Compute the ?-transform ( ? ) of the output signal y [ ] as a single ratio of two factored polynomials in ? . c) Compute the ?-transform of the system function as a single ratio of two factored polynomials in ? after removing all stable factors common to numerator and denominator. d) Compute the unit impulse response of the system. 2) Consider the second-order, linear, time-invariant system with the frequency response = + + + + + + where , , , and are all positive, real numbers. are all positive, real numbers....
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presec8 - ECE 2200: Section VIII Problems (Week 9 / Spring...

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