Abstract Bio-signals are extensively used in diagnosing many diseases wearable devices. In signal processing, reconstruction is one of the essential applications. Discrete orthogonal moments (DOMs) effective analysis tools for signals that can extract digital information without redundancy. The propagation numerical errors a significant challenge computation DOMs at high orders. This problem da...

This paper considers the generic problem of detecting in the presence of additive noise, which one from a set of known signals has been received. In place of the classical matched #lter (MF) receiver we propose a modi#ed receiver. When the transmitted signals are linearly independent this receiver is referred to as an orthogonal matched #lter (OMF) receiver, and when the transmitted signals are...

Orthogonal least squares (OLS)-type algorithms are efficient in reconstructing sparse signals, which include the well-known OLS, multiple OLS (MOLS) and block (BOLS). In this paper, we first investigate noiseless exact recovery conditions of these algorithms. Specifically, based on mutual incoherence property (MIP), provide theoretical analysis MOLS to ensure that correct nonzero support can be...

The errors of restoration original continuous signals in digital communication systems with orthogonal modulation equidistant subcarriers (the so-called OFDM technology) are considered. theory radio circuits and is applied as a scientific technical basis the problem. spectra discrete were analysed, influence violations conditions Kotelnikov’s theorem asymptotics recovery investigated. Methods f...

This paper studies pulse-based M -ary ultrawideband communications analyzing both the symbol error rate (SER) and the information theoretic capacity C for single-link communications over both additive white Gaussian noise and multipath channels (taking into account random variations in both energy and correlation values). In particular, we consider M -ary N -orthogonal pulse-position-modulated ...