Normalized Fourier Transform Basis
The Fourier transform projects a continuous-time signal
onto an
infinite set of continuous-time complex sinusoids
,
for
. These sinusoids all have infinite
norm, but a simple normalization by
can be chosen so
that the inverse Fourier transform has the desired form of a
superposition of projections:
![]() |
(12.113) |
![]() |
![]() |
![]() |
|
![]() |
![]() |
||
![]() |
![]() |
![]() |
|
![]() |
![]() |
||
![]() |
![]() |
Next Section:
Normalized DTFT Basis
Previous Section:
Normalized DFT Basis for