A new signal representation
John E. Hershey, Amer A. Hassan, Rao Yarlagadda · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · 1995
Abstract A new method is presented for representing and approximating signals which are made up of odd frequency components. The method uses a ‘half-basis’ set, all of whose members exhibit identical power spectral densities. In contrast to the conventional Fourier approximation, approximations by this new method will spread the approximation error over the odd frequencies in the half basis. Approximations to the full set of signals, i. e. those containing both even and odd frequency components can also be realized by this new method.