Rotationally symmetric systems can exhibit acoustic fluctuations in the azimuthal direction. In
experimental works the nature (standing or spinning) of these fluctuations is often described …

A novel approach toward the spectral analysis of stationary random bivariate signals is
proposed. Unlike existing approaches, the proposed framework exhibits a natural link …

A complete framework for the linear time-invariant (LTI) filtering theory of bivariate signals is
proposed based on tailored quaternion Fourier transform. This framework features a direct …

This article is concerned with the study of the embedding circulant matrix method to simulate
stationary complex-valued Gaussian sequences. The method is, in particular, shown to be …

Partial coherence is an important quantity derived from spectral or precision matrices and is
used in seismology, meteorology, oceanography, neuroscience and elsewhere. If the …

This paper extends the fractional Brownian motion to the complex-valued case. The model is
defined as the centered, zero at zero, self-similar complex-valued stochastic process with …

This paper provides an algorithm for simulating improper (or noncircular) complex-valued
stationary Gaussian processes. The technique utilizes recently developed methods for multi …

Many image processing and pattern recognition problems can be formulated as binary
quadratic programming (BQP) problems. However, solving a large BQP problem with a good …

This paper proposes a frequency domain approach to test the hypothesis that a stationary
complex-valued vector time series is proper, ie, for testing whether the vector time series is …

There has been much research on shrinkage methods for real-valued covariance matrices
and their inverses (precision matrices). In spectral analysis of p-vector-valued time series …