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