K-distribution

About: K-distribution is a research topic. Over the lifetime, 1281 publications have been published within this topic receiving 51774 citations.

A further generalization of mixture distributions

Abstract: In this work, we consider new mixture distributions, which generalize some of mixture distributions established earlier. Some basic functions associated with the probability density function of the new mixture distributions, such as kth moments, characteristic function and factorial moments are computed.

Underwater Acoustic Signal and Noise Modeling

Abstract: In this chapter, the four dimensions in which underwater acoustic signals can be categorized are introduced: time, frequency, consistency from observation to observation, and knowledge of structure. Recalling the remote-sensing application, the impact of propagation through an underwater acoustic channel on source-signal characterization is described in terms of its effect on signal amplitude and phase. Various representations of bandpass signals are presented, including the analytic signal, complex envelope, envelope and instantaneous intensity. Statistical models for sampled time-series data are obtained for signals and noise to support derivation and analysis of detection and estimation algorithms. Reverberation in active systems is characterized as a random process in order to describe its autocorrelation function and power spectral density. The effect on reverberation arising from the motion of the sonar platform or reverberation-source scatterers, known as Doppler spreading, is introduced and approximated. In addition to the standard Gaussian noise model, a number of heavy-tailed distributions are described including the K distribution, Poisson-Rayleigh, and mixture distributions. Standard statistical models for signals and signals-plus-noise are presented along with techniques for evaluating or approximating the probability of detection and probability of false alarm.

Some Skew-Symmetric Double Inverted Distributions

Abstract: We define skew-symmetric distributions based on the double inverted gamma, double inverted Weibull and double inverted compound gamma distributions, all of which have symmetric density about zero. Expressions are derived for the probability density function (pdf), cumulative distribution function (cdf) and the moments of these distributions. However, some of these quantities could not be evaluated in closed forms and we used special functions to express them.

Study on Statistical Characteristics of Sea Clutter Based on Measured Data with Large Grazing Angle

Abstract: This paper presents some theoretical models of sea clutter, including Rayleigh distribution, Weibull distribution, logarithmic normal distribution, K distribution and KK distribution, whose fits are tested with measured data in Ku-band, high resolution capabilities and large grazing angle conditions The fitting effect of the five distribution methods is analyzed in this paper and the results show that the amplitude of sea clutter is close to Rayleigh distribution in the case of large grazing angle and tail of the amplitude distribution curve of the sea clutter in some distance units deviates from the Rayleigh distribution while the K and KK distributions can fit better