in this article we introduce the concept of $z^circ$-filter on a topological space $x$. we study and investigate the behavior of $z^circ$-filters and compare them  with corresponding ideals, namely, $z^circ$-ideals of $c(x)$,  the ring of real-valued continuous functions on a completely regular hausdorff space $x$. it is observed that $x$ is a compact space if and only if every $z^circ$-filter ...

In this article we introduce the concept of $z^circ$-filter on a topological space $X$. We study and investigate the behavior of $z^circ$-filters and compare them  with corresponding ideals, namely, $z^circ$-ideals of $C(X)$,  the ring of real-valued continuous functions on a completely regular Hausdorff space $X$. It is observed that $X$ is a compact space if and only if every $z^circ$-filter ...

the stolt (f-k) migration algorithm is a direct (i.e. non-recursive) fourier-domain technique based on a change of variables (or equivalently, a mapping) that converts the input spectrum to the output spectrum. the algorithm is simple and efficient but limited to constant velocity. a v(z)(f-k) migration method, capable of very high accuracy for vertical variations of velocity, can be formulated...

In 1983 Canny presented criteria for measuring the quality of edge detectors and derived an optimal FIR-Filter for step edges by optimizing them. Four years later Deriche proposed an approach to edge detection based on Canny´s design utilizing IIR-Filters which can be implemented very efficiently recursively. Unfortunately, using the Deriche-Filter leads to a distortion of the amplitudes of the...

A feedforward active noise control system includes the secondary path filter for compensation of acoustic coupling between loudspeaker and reference microphone. In ordinary systems, the filter is designed to be a pre-set type, without any system identification for it, because the adaptation of its filter taps without any additional noise is difficult. This paper introduces a new identification ...

We introduce a new approach to design FIR energy compaction filters of arbitrary order N . The optimization of such filters is important due to their close connection to the design of an M-channel orthonormal filter bank adapted to the input signal statistics. The novel procedure finds the optimum product filter Fopt(z) = Hopt(z)Hopt(z-') corresponding to the compaction filter Hopt(z ) . The id...

Abstract—Frequency transformation with Pascal matrix equations is a method for transforming an electronic filter (analogue or digital) into another filter. The technique is based on frequency transformation in the s-domain, bilinear z-transform with pre-warping frequency, inverse bilinear transformation and a very useful application of the Pascal’s triangle that simplifies computing and enables...

Based on symmetry of the maximally flat frequency response of a FIR notch filter the new design procedure is developed. The closed form solution provides direct computation of the frequency response, recursive computation of the impulse response coefficients, simple windowing technique, and an access to new implementation. Several examples are included. INTRODUCTION In order to remove a single ...

in this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $c(x)$ and the same of $c(y)$, for some special subset $y$ of $x$. for instance, if $y=coz(f)$ for some $fin c(x)$, then there exists a one-to-one correspondence between the set of prime $z$-ideals of $c(y)$ and the set of prime $z$-ideals of $c(x)$ not containing $f$. moreover, c...

This paper presents a lowpass narrowband filter design method with a small number of products per output sample (MPS). The method is based on the use of a sharpened Cascade Integrator-Comb (CIC) filter and an Interpolated Finite Impulse Response (IFIR) structure. INTRODUCTION In many communications and signal processing systems it is necessary to isolate a very narrow band signal from a very wi...