It is known that the discrete Fourier transform (DFT) used in digital signal processing can be characterized in the framework of representation theory of algebras, namely as the decomposition matrix for the regular module C[Zn] = C[x]/(x − 1). This characterization provides deep insight on the DFT and can be used to derive and understand the structure of its fast algorithms. In this paper we pr...

Conventional pulse-echo ultrasonic receivers rectify the received signal. Because the signature of the reflecting interfaces is modulated by the predominant ultrasonic frequency, interpretation of this signal in terms of the structure of the reflecting interfaces is difficult. Smoothing, as by an R-C filter, ameliorates this effect, giving a less confusing display at the expense of resolution. ...

The Fourier Series, the founding principle behind the field of Fourier Analysis, is an infinite expansion of a function in terms of sines and cosines. In physics and engineering, expanding functions in terms of sines and cosines is useful because it allows one to more easily manipulate functions that are, for example, discontinuous or simply difficult to represent analytically. In particular, t...

A high-performance focus measure is one of the key components in any autofocus system based on digital image processing. More than a dozen of focus measures have been proposed and evaluated in the literature, yet there have be no comprehensive evaluations that include most of them. The purpose of the current study is to evaluate and compare the performance of ten focus measures using Monte Carl...

Quantum cellular automata (QCA) have been used widely to digital circuits and systems. QCA technology is a promising alternative to CMOS technology. It is attractive due to its fast speed, small area and low power consumption, higher scale integration, higher switching frequency than transistor based technology. Various QCA circuits, Multivalve Reversible Logic (MVL) Circuit as well as Feynman ...

Time-domain as well as frequency domain adaptive filter algorithms have been investigated and compared in respect of their capabilities of suppressing ambient noise during time-domain measurements of electromagnetic interference at open test sites. The fundamentals and the application of the most advantageous algorithm for timedomain EMI measurements is described in this paper. An advanced digi...

Reservoir computing is a recently introduced, highly efficient bio-inspired approach for processing time dependent data. The basic scheme of reservoir computing consists of a non linear recurrent dynamical system coupled to a single input layer and a single output layer. Within these constraints many implementations are possible. Here we report an optoelectronic implementation of reservoir comp...

The advantages of optics that include processing speed and information throughput, modularity and versatility could be incorporated into one of the most interesting and applicable topics of digital communication related to Viterbi decoders. We aim to accelerate the processing rate and capabilities of Viterbi decoders applied for convolution codes, speech recognition, inter symbol interference (...

Medieval music manuscripts pose special challenges for digital processing. Their unique page layouts and sometimes extreme degradation can make it difcult even to identify the portions of an image that correspond to the musical page. This paper addresses the page identication problem for medieval documents, with natural extensions to any type of image processing that entails separating a bord...