1.Previous
3.Next

the Taylor expansion for the exponential

:

to which we apply a simple identity for sine,

:

This expression we interpret to mean that we have the original carrier signal plus two small sidebands, one at and another at . Notice however that we only used the first term in the Taylor expansion - in truth there are an infinite number of sidebands. There is a useful identity involving Bessel functions

1.Previous
3.Next