LEAST-SQUARED ERROR RECONSTRUCTION OF A DETERMINISTIC SAMPLED SIGNAL FOURIER-TRANSFORM LOGARITHM FROM ITS N-TH ORDER POLYSPECTRUM LOGARITHM

This communication shows that a reconstruction formula proposed by Tek alp and Erdem yields the best least squared error estimate of the Four ier transform logarithm of a (deterministic) sampled signal when one o f its higher order spectra logarithm is given. This property is deduce d from the projection theorem and is mainly a consequence of the perio dicity of the Fourier transform of sampled signals.