Maxwell theory can be studied in a gauge which is invariant under conformal rescalings of the metric, and first proposed by Eastwood and Singer. This paper studies the corresponding quantization in flat Euclidean 4-space. The resulting ghost operator is a fourth-order elliptic operator, while the operator P on perturbations Aμ of the potential is a sixth-order elliptic operator. The operator P ...

A modification to the hybrid sinusoidal model is proposed for the purpose of high-quality audio coding. In our proposal the amplitude envelope of each harmonic partial is modeled by a narrowband complex signal. Such representation incorporates most of the signal energy associated with sinusoidal components, including that related to frequency estimation and quantization errors. It also takes in...

We give the relationship between instantaneous frequency estimation via the derivative of the phase of the analytic signal and the first moment of general time-frequency representations from Cohen’s Manuscript received March, 2, 1990; revised January 25, 1992. This work was supported by the Australian Research Council. B. C. Lovell and B. Boashash are with the Department of Electrical Engineeri...

The paper reviews some recent progress on adaptive signal decomposition into mono-components that are defined to be the signals of non-negative analytic phase derivatives.

In this paper, a complete theory of steerable filters is presented which shows that quadrature filters are only a special case of steerable filters. Although there has been a large number of approaches dealing with the theory of steerable filters, none of these gives a complete theory with respect to the transformation groups which deform the filter kernel. Michaelis and Sommer (Michaelis and S...

This paper describes a new method for extracting both instantaneous and rms sinusoidal jitter from phase-locked loops (PLL) output signals. The method is based on analytic signal theory and utilizes the Hilbert transform to extract phase information from a PLL signal. Both the theoretical basis and fundamental concepts of the new method are explained. A unified review of conventional methods is...

We use the analytic signal approach based on the Hilbert transform to compute the phase diierence between two non-stationary signals and nd out epochs of phase locking.

We propose robust acquisition schemes for chip time-synchronous direct-sequence spread-spectrum (DS/SS) signals in wide-band pulse jamming. To mitigate the performance degradation due to the impulse-like wide-band jamming signal, the received signal is preprocessed by employing simple order statistic filters. We consider the use of two types of median filtering schemes: a running median filter ...

It is well known that in problems where both amplitude and phase recovery is essential like in signal processing for communications, or in problems of nonlinear signal distortions, like control, signal processing and imaging applications it is important to consider the complex nature (and thus the intimate relation between real and imaginary part) of the data. One of the main problem to design ...