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Q: Difference between fourier series and z-transform?

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Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.

A Fourier series is a set of harmonics at frequencies f, 2f, 3f etc. that represents a repetitive function of time that has a period of 1/f. A Fourier transform is a continuous linear function. The spectrum of a signal is the Fourier transform of its waveform. The waveform and spectrum are a Fourier transform pair.

Fourier series and the Fourier transform

what are the limitations of forier series over fourier transform

half range--- 0 to x full range--- -x to x

yes a discontinuous function can be developed in a fourier series

no

Yes. For example: A square wave has a Fourier series.

Fourier series is series which help us to solve certain physical equations effectively

Fourier series is series which help us to solve certain physical equations effectively

The fourier series of a sine wave is 100% fundamental, 0% any harmonics.

Joseph Fourier was the French mathematician and physicist after whom Fourier Series, Fourier's Law, and the Fourier Transform were named. He is commonly credited with discovering the greenhouse effect.

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