December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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2.4 WAVE SYMMETRY
Since periodic waveform exhibits certain types of symmetry, therefore, knowledge of such symmetry becomes useful to reduce the labour involved in calculation of the Fourier co-efficients. In order to examine the reduction of labour for calculation of Fourier co-efficients, let us consider Eq. (2.3) taking the interval, –T/2 to T/2 instead of 0 to T.
In general, it can be written as
Similarly, it can be written as
2.4.1 Even or Mirror Symmetry
A function f(t) is said to be even if
f(t) = f(−t) (2.20)
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