A Systolic Array Architecture for Computing Time-varying Higher-order Cumulants

A Systolic Array Architecture for Computing Time-varying Higher-order Cumulants

For non-stationary processes, the conventional power spectrum does not reflect the time variation of the process characteristics. Higher-order cumulants or bispectrum has been applied in the analysis of nonminimum phase linear, time-invariant (LTI) systems under stationarity assumptions and restricting the signal to have non-symmetric distribution. It is clearly of interest to examine what type...

A VLSI Systolic Array Architecture for Computation of Third-Order Cumulants for Two-Dimensional Signals

Pion interferometry with higher-order cumulants

We have measured secondand third-order cumulants in UA1 data (p̄p collisions at 630 GeV/c). Rather than quoting numerical values for source parameters, we have used these in three checks to test the “quantum statistics” theory for consistency over these cumulants. In the process, we have found a method for folding theoretical correlation functions with experimental one-particle distributions. Ou...

Carrier Estimation for Qam Receivers Using Higher-order Cumulants

This paper explores the use of Higher Order Statistics for the recovery of the carrier phase and frequency offset in a QAM receiver operating in an additive Gaussian noise channel. The technique is based on newly established properties of the 3 and 4-order cumulants of the demodulated QAM signal. The resulting method may be thought of as higher-order extension of the second order automatic freq...

Application of Higher Order Cumulants for Seismic Wavelet Reconstruction

According to the fact that high order cumulants (HOC) retain the phase information of signals and the HOC of the Gaussian color noise is always equal to zero, a new method of wavelet reconstruction is provided in this paper, based on 4th-order cumulants of non-Gaussian seismic signals. The feasibility of this method is demonstrated by the simulation of wavelet estimation for synthetic seismic t...