O'Reilly logo

Signals and Systems by Smarajit Ghosh

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

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.

 

image

 

In general, it can be written as

 

image

 

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)

 

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required