# Index [[Aliasing]] [[Bandlimited signals]] [[Continuous signals]] [[Discrete Fourier transforms]] [[Fast Fourier transforms]] [[Impulses]] [[Impulse-train sampling]] [[Noise]] [[Noise equivalent power]] [[Nyquist-Shannon sampling theorem]] [[Sampling]] [Time-frequency Fourier transform](Time-frequency%20Fourier%20transform.md) # Related Indices [Fourier analysis (Index)](Fourier%20analysis%20(Index).md) --- # Proofs and examples --- # Basic concepts ## Notation Since this field developed closely with [electronics](Electronics%20(index).md) we adapt the [notation](Electronics%20(index).md#Imaginary%20numbers) where $j$ is used to represent the [unit imaginary number.](Complex%20analysis%20(index).md#Numbers%20on%20a%20complex%20plane) --- # Bibliography [Brigham E. O., _The Fast Fourier Transform and Its Applications_, Prentice Hall, 1988.](Brigham%20E.%20O.,%20The%20Fast%20Fourier%20Transform%20and%20Its%20Applications,%20Prentice%20Hall,%201988..md) [Oppenheim A. V., Willsky A. S., Nawab S. H., _Signals and Systems_, Prentice Hall, 1996.](Oppenheim%20A.%20V.,%20Willsky%20A.%20S.,%20Nawab%20S.%20H.,%20Signals%20and%20Systems,%20Prentice%20Hall,%201996..md) #MathematicalFoundations/SignalProcessing