It is shown how the Zak transform can be used to find nontrivial examples of functions f, g E L 2 ( 2 ) with f . g = 0 = F . C, where F, G are the Fourier transforms of f, g, respectively. This is then used to exhibit a nontrivial pair of functions h, keL2(T1), h # k, such that I h I = 1 k 1 , I H I = I K 1 . A similar construction is used to find an abundance of nontrivial pairs of functions h...

In this paper a new time-frequency interference terms cancellation method will be presented. We will consider this problem in the multi-structure signal case, where this problem is often difficult to solve due to interference geometry, which can be superposed on the signal component. We propose a technique based on the atomic decomposition of the signal, in order to extract its components. A py...

Wide band digital audio signals have a very high data-rate associated with them due to their complex nature and demand for highquality reproduction. Although recent technological advancements have significantly reduced the cost of bandwidth and miniaturized storage facilities, the rapid increase in the volume of digital audio content constantly compels the need for better compression algorithms...

It is shown how the Zak transform can be used to find nontrivial examples of functions f, g E L 2 ( 2 ) with f . g = 0 = F . C, where F, G are the Fourier transforms of f, g, respectively. This is then used to exhibit a nontrivial pair of functions h, keL2(T1), h # k, such that I h I = 1 k 1 , I H I = I K 1 . A similar construction is used to find an abundance of nontrivial pairs of functions h...

We examined whether the nonlinear control mechanism of the fetal autonomic nervous system would change in various fetal states. Eight thousand or more fetal heartbeats were detected from normal, hypoxemic, and acidemic fetuses. Fetal heart Doppler-signal intervals were determined in a high-precision autocorrelation method, and a time series of fetal heart rate fluctuation was obtained. The dist...

An approach for processing sonar signals with the ultimate goal of ocean bottom sediment classification and underwater buried target classification is presented in this paper. Work reported for sediment classification is based on sonar data collected by one of the AN/AQS-20’s sonars. Synthetic data, simulating data acquired by parametric sonar, is employed for target classification. The techniq...

Fractional Fourier Transform (FRFT) contains simultaneity the time-frequency information of the signal, and it is considered a new tool for time-frequency analysis. The energy distribution of image is analyzed and simulated in this paper, the characteristic of the amplitude and phase is extracted in Fractional Fourier domain of an image. The simulation results show that the FRFT can represent t...