Fourier Transforms of Walsh Functio ns
Güner S. Robinson · IEEE Transactions on Electromagnetic Compatibility · 1974
The Z-transform of a discrete square-wave function simplifies the derivation of an expression for the Fourier transform of a continuous square-wave function defined over a finite interval. In particular, since the Z-transform of any Walsh function can be written in closed form by inspection of the G ray code representation of its index, the Fourier transform can be readily written down as a trigonometric product function.