Knowledge of the noise probability density function (PDF) is central in signal detection problems, not only for optimum receiver structures but also for processing procedures such as power normalization. Unfortunately, the statistical knowledge must be acquired since the classical assumption of a Gaussian noise PDF is often not valid in underwater acoustics. In this report, we study statistical...

A dynamical system driven by non-Gaussian Lévy noises of small intensity is considered. The first exit time of solution orbits from a bounded neighborhood of an attracting equilibrium state is estimated. For a class of non-Gaussian Lévy noises, it is shown that the mean exit time is asymptotically faster than exponential (the well-known Gaussian Brownian noise case) but slower than polynomial (...

This paper addresses robust estimation for the frequency offset of orthogonal frequency division multiplexing in non-Gaussian noise channels. We first propose a maximum-likelihood (ML) estimator in non-Gaussian noise modeled as a complex isotropic Cauchy process, and then present a simpler, yet still robust, estimator based on the ML estimator. From numerical results, it is confirmed that the p...

| This paper considers a class of nonGaussian noise modeled as a combination of a white Gaussian process and a shot noise process as suggested by Bello and Esposito [1]. With this noise model as input of a quadrature demodulator, the noise output vector is shown to have circular symmetry. In the particular case of Rayleigh distribution for the noise envelope amplitude, the symbol error probabil...

We consider binary communication over the additive white Gaussian noise channel with no bandwidth constraint on the channel input signals, assuming the availability of a noiseless delayless feedback link. Although the signals at time t can depend on the noise at times 7 < t and are therefore random functions, we require that the signal energy never exceed a fixed level. We show that the optimal...

Many musical instruments’ sounds can be represented by harmonic and additive noise signals. We are interested in separating these two elements of the sound. We fit a local harmonic model that tracks changes in pitch and of the amplitude of the harmonics. Deterministic changes in the signal suggest that different window sizes should be considered. Various ways to choose appropriate window sizes ...

ABSTRACT On the base of the estimator variance analysis we present a classification for a number digital chaos communication schemes and conventional spread spectrum techniques, which allows the qualitative comparison of the behaviour of the systems under the presence of additive white Gaussian noise on the channel. The classification results in a ranking and shows that the conventional stored-...

• The direct part (i.e., achievablity of transmission at rates approaching 1 2 log2(1+ P σ z )) however does not rely on the noise being AWGN and the theorem holds for a much broader class of channels. In fact, the proof below requires only that the noise have average power σ2 z and that it is empirically uncorrelated with the input signal. Thus, the noise may be non-Gaussian, and does not even...