December 2005
Intermediate to advanced
475 pages
12h 6m
English
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3.5 FOURIER TRANSFORM OF PERIODIC SIGNALS
The periodic functions like sine wave, triangular wave and saw tooth wave etc. exist for t = − ∞ to t = ∞ are truly periodic. A perpetual periodic function has infinite area under the rectified condition and therefore this does not satisfy the absolute integrability condition. Hence direct use of Fourier transform gives an inaccurate result.
To find the Fourier transform any of the following two approaches must be taken into account:
- We use Fourier transforms after making use of the exponential Fourier series of the function.
- The Fourier transform of the periodic function is found out for a limited period of time say ‘τ’ and let τ tends to infinity. Now we can obtain Fourier transform of the perpetual ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
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