December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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3.3 FOURIER TRANSFORM OF SOME FUNCTIONS
3.3.1 Fourier Transform of Gate Function
The gate function is shown in Fig. 3.1.
Fig. 3.1 Gate function
Mathematically, it can be written as
Therefore, Fourier transform of f(t) is given by
where and are called sampling functions.
Now x 0, Sa(x) 1
and Sa(x) = 0 when x = ± mπ where ...
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