Fourier series and harmonic analysis
An important advantage of the Fourier series representation of a function is that it can represent a periodic function containing a number of finite discontinuities with no requisite of the use of successive differential coefficients as in Taylor series.
C.1 Fourier series
In mathematical expression, we have
(C.1)
where f(t)= f(t + nT) and n is an integer.
Using Euler’s identity ejx= cos x + j sin x, the formula in C.1 can be represented in exponential form.
DFT may be useful for data compression ...
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