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If the system gives an output y(n)=H(ω)x(n) with x(n) = Ae^jωnas input signal, then x(n) is said to be Eigen function of the system.

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If the system gives an output y(n)=H(ω)x(n) with x(n) = Ae^jωnas input signal, then x(n) is said to be Eigen function of the system.

(a) True

(b) False

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I would like to ask this question from Frequency Domain Characteristics of LTI System topic in portion Frequency Analysis of Signals and Systems of Digital Signal Processing

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The correct option is (a) True

For explanation: An Eigen function of a system is an input signal that produces an output that differs from the input by a constant multiplicative factor known as Eigen value of the system.

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