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Signals and Systems by Smarajit Ghosh

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11.4 MAGNITUDE/PHASE TRANSFER FUNCTIONS USING FOURIER TRANSFORM

The output of a linear time invariant system is given by

 

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If the system is excited by sinusoid phasor x(n) = ejωn for − < n < . The output becomes

 

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H(ω) is called Fourier transform of h(k) where h(k) is the unit sample response. It is also called transfer function of the system which is a complex valued function of ω in the range −πωπ. We can also express the transfer ...

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