In this paper we consider solutions to the non-stationary Wiener ltering problem using the evolutionary spectral theory. Two cases of interest result from the uncorrelation between the desired signal and the noise. One constrains the support of the generating kernels of the signals and the other imposes orthogonality on their innovation processes. The latter condition is more general and our so...

Traditional maximum entropy spectral estimation determines a power spectrum from covariance estimates. Here, we present a new approach to spectral estimation, which is based on the use of filter banks as a means of obtaining spectral interpolation data. Such data replaces standard covariance estimates. A computational procedure for obtaining suitable pole-zero (ARMA) models from such data is pr...

The problem of spectral subtraction, to estimate the parameters of a single source in colored noise, is used to show the relationships between the likelihood formulation and spectral density estimation. Reported previously as a filter bank processing for spectral estimation, it is shown that the normalized Capon estimate is the natural tool for source location in 1-d and 2-d scenarios when the ...

Abstract. We prove that, if ∆1 is the Hodge Laplacian acting on differential 1forms on the (2n+1)-dimensional Heisenberg group, and if m is a Mihlin-Hörmander multiplier on the positive half-line, with L-order of smoothness greater than n+ 1 2 , then m(∆1) is L-bounded for 1 < p < ∞. Our approach leads to an explicit description of the spectral decomposition of ∆1 on the space of L-forms in ter...

Spatial Spectrum Estimation with a Maneuvering Sensor Array in a Dynamic Environment by Jonathan L. Odom Department of Electrical and Computer Engineering Duke University

In this paper we present an alternative way to capture multi-spectral images using a conventional trichromatic digital camera combined with either absorption filters or multi-illumination. The goal in this research has focused on reducing the cost and complexity of the image acquisition system while preserving its colorimetric and spectral accuracy. This paper describes this new paradigm and su...

There are several kinds of methods and underlying models for monophonic fundamental frequency estimation of periodic or semi-periodic signals. The methods operate in various domains (time-, frequencyor joint time-frequency domains). A general structure and few examples of different approaches and their strengths as well as weaknesses are briefly described.