1.

An LTI system is characterized by its impulse response h(n)=(1/2)nu(n). What is the spectrum of the output signal when the system is excited by the signal x(n)=(1/4)nu(n)?

A. ( frac{1}{(1- frac{1}{2} e^{-j })(1+ frac{1}{4} e^{-j })} )
B. ( frac{1}{(1- frac{1}{2} e^{-j })(1- frac{1}{4} e^{-j })} )
C. ( frac{1}{(1+ frac{1}{2} e^{-j })(1- frac{1}{4} e^{-j })} )
D. ( frac{1}{(1+ frac{1}{2} e^{-j })(1+ frac{1}{4} e^{-j })} )
Answer» C. ( frac{1}{(1+ frac{1}{2} e^{-j })(1- frac{1}{4} e^{-j })} )


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