Signals and Systems

11.4 MAGNITUDE/PHASE TRANSFER FUNCTIONS USING FOURIER TRANSFORM

The output of a linear time invariant system is given by

 

 

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

 

 

 

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 −π ≤ ω ≤ π. We can also express the transfer ...