This paper presents a unified framework for the analysis of several discrete time adaptive parameter estimation algorithms, including RML with nonvanishing stepsize, several ARMAX identifiers, the Landau-style output error algorithms, and certain others for which no stability proof has yet appeared. A general algorithmic form is defined, incorporating a linear time-varying regressor '. filter a...

Smoothing selected cepstral coefficients over time has been recently shown to be a powerful method in the enhancement of noisy speech signals. A difficulty that arises in this context is that averaging a random variable in the log-domain changes its mean in the linear domain. The knowledge of this bias is indispensable for most temporal cepstrum smoothing applications. To date, the bias is know...

In this paper, we present a method that we call on-surface convolution which extends the classical notion of a 2D digital filter to the case of digital surfaces (following the cuberille model). We also define an averaging mask with local support which, when applied with the iterated convolution operator, behaves like an averaging with large support. The interesting property of the latter averag...

In this paper, we show a simple way to derive the p-shift finite impulse response (FIR) unbiased estimator (UE) recently proposed by Shmaliy for time-invariant discrete-time state-space models. We also examine its iterative Kalman-like form. We conclude that the Kalman-like algorithm can serve efficiently as an optimal estimator with large averaging horizons. It has better engineering features ...

The Kalman filter is widely applied in target tracking problems. It is known to be the linear optimal filter in the white Gaussian noise environment. In some radar applications [1–9], the measurement noise may deviate from the Gaussian assumption. For instance, complex targets can cause irregular electromagnetic wave reflection. This phenomenon varies the target center in a radar and gives rise...

A new approach to defining the effective fracture toughness for heterogeneous materials is proposed. This temporal averaging process dependent, incorporating crack velocity and material toughness. The effectiveness of technique investigated in context hydraulic through rock with a periodic plane strain model considered without fluid leak-off, more easily investigate different regimes (toughness...

The present study investigated whether magnetocardiograms (MCGs) could noninvasively detect the His potential. In 22 patients, the His - ventricular (HV) intervals in MCGs (64-channel system, 2-min signal averaging, filter: 0.1-100 Hz, and band-eliminating filter of 50 Hz) were compared with those recorded in an electrophysiologic study (EPS, filter: 30-400 Hz). In 14 of the patients (64 %), th...

Many partial differential equations with rapid spatial or temporal scales have effective descriptions which can be derived by homogenisation or averaging. In this article we deal with examples, where quantitative estimates of the error is possible for higher order homogenisation and averaging. In particular, we provide theorems, which allow homogenisation and averaging beyond all orders by givi...