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Engineering Mathematics
book

Engineering Mathematics

by Babu Ram
June 2009
Intermediate to advanced content levelIntermediate to advanced
1100 pages
42h 22m
English
Pearson India
Content preview from Engineering Mathematics

19

Discrete Fourier Transform

Discrete Fourier transform (DFT) is a powerful tool for frequency analysis of discrete time signals. It transforms discrete-time signal of finite length into discrete-frequency sequence of finite length. As we shall observe, the DFT can also be used to calculate Fourier coefficients.

19.1 APPROXIMATION OF FOURIER COEFFICIENTS OF A PERIODIC FUNCTION

Let f be a real-valued periodic function with period T over the interval [0, T]. We divide [0, T] into N subintervals In of equal length T/N. Thus

 

image

 

The linear interpolation ln(t) of f (t) is given by

 

 

Thus the graph (Figure 19.1) of ln(t) consists of the line segment ...

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Publisher Resources

ISBN: 9789332515611