Fourier Analysis for Continuous Time Processes
Any periodic function with a frequency f 0 , i.e., period T 0= 1/f 0, not only repeats itself with period T 0 , but also in periods of 2T 0, 3T 0 , 4T 0, etc. Therefore, a set of periodic functions with frequencies F p , 2F p ,3F p , 4F p ,…kF p when combined (added) will be periodic with period T p =1/F p (which is the lowest common period). In other words periodic functions display the property that when a periodic function with a certain frequency (called fundamental frequency) is added to one or more of its harmonics (functions with frequencies that are multiples of the fundamental frequency) a new periodic function with exactly the same period as the fundamental is obtained.
KeywordsTransfer Function Impulse Response Periodic Function Phase Plot Bide Plot
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