In this article we derive rigorously amplitude equations for stochastic PDEs with quadratic nonlinearities, under the assumption that the noise acts only on the stable modes and for an appropriate scaling between the distance from bifurcation and the strength of the noise. We show that, due to the presence of two distinct timescales in our system, the noise (which acts only on the fast modes) g...

Criteria necessary to accurately estimate a set of unknown geoacoustic parameters from remote acoustic measurements are developed in order to aid the design of geoacoustic experiments. The approach is to have estimation error fall within a specified design threshold by adjusting controllable quantities such as experimental sample size or signal-to-noise ratio ~SNR!. This is done by computing co...

This paper presents a new denoising method for base-band communication signals corrupted by additive noise. The novelty of this paper is the use of a special MAP filter, called composed bishrink, for communication purposes. A complete statistical analysis of this filter is reported. Some simulations are presented. The results obtained are compared with the results of matched filtering technique...

Image denoising using bilateral filter is controlled by the width of its smoothing functions namely the domain and the range components. The choice of the width of range function is image dependent and requires several experiments. This paper presents an automatic method based on power-law scaling of the inverse of local statistics for pixel wise estimation of range parameter. This leads to an ...

In most previously reported studies on pseudonoise (PN) code acquisition, independent additive noises have been assumed in various noise environments. The use of an independent observation model may cause considerable performance degradation in modern high datarate communication systems. In these studies, only additive noise model is considered. In this paper, a new detector for PN code acquisi...

This letter proposes a new signal to noise ratio (SNR) definition for magnetic recording channels with both additive and medium noise components. The proposed SNR is a generalized version of o b N E / , the information bit energy to noise spectral height ratio, widely used in average power constrained communication channels with additive white noise. The goal is to facilitate comparison of effi...

Compression of a noisy source is usually a two stage problem, involving the operations of estimation (denoising) and quantization. A survey of literature on this problem reveals that for the squared error distortion measure, the best possible compression strategy is to subject the noisy source to an optimal estimator followed by an optimal quantizer for the estimate. What we present in this pap...

A novel non-data-aided SNR estimation technique for BPSK and QPSK modulations in complex additive white Gaussian noise (AWGN) is proposed. It uses the constant amplitude property of in-phase and quadrature components of these modulations to achieve an improved performance. Its complexity is shown to be lower while its accuracy supersedes the popular moments-based estimator, approaching closely ...

Spectral parameter filtering such as RASTA [5], RASTA-like bandpass filtering and high-pass filtering operates on temporal dynamics of spectral parameters, and has been effective method to reduce channel distortions. Temporal derivatives (delta and delta-delta coefficients, that have proved as robust representation) and spectral mean normalization [4] are also equivalent to filtering that rejec...

Stochastic nonlinear elliptic partial differential equations with white noise disturbances are studied in the countably additive measure set up. Introducing the Onsager-Machlup function to the system model, the smoothing problem for maximizing the modified likelihood functional is solved and the explicit form of nonlinear smoother is presented in the finitely additive observation noise set up. ...