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Wyświetlanie 1-10 z 27
Tytuł:
Spectrum Aliasing Does Occur Only in Case of Non-ideal Signal Sampling
Autorzy:
Borys, Andrzej Marek
Tematy:
signal sampling
occurrence of spectrum aliasing and folding
signal modelling
non ideal signal sampling operation
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Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/1844609.pdf  Link otwiera się w nowym oknie
Opis:
In this paper, it has been shown that the spectrum aliasing and folding effects occur only in the case of non-ideal signal sampling. When the duration of the signal sampling is equal to zero, these effects do not occur at all. In other words, the absolutely necessary condition for their occurrence is just a nonzero value of this time. Periodicity of the sampling process plays a secondary role.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling of non-ideal signal sampling via averaging operation and spectrum of sampled signal predicted by this model
Autorzy:
Borys, A.
Tematy:
modelling of non-Ideal signal sampling
non-Ideal signal
spectrum of sampled signal
A/D converters
non-Ideal signal sampling
signal sampling
discrete time fourier transform
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Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Powiązania:
https://bibliotekanauki.pl/articles/2172501.pdf  Link otwiera się w nowym oknie
Opis:
In this paper, a novel model of a non-ideal signal sampling via a local, periodic averaging operation is present-ed. The spectrum of a sampled signal predicted by this model is also analysed as well as compared with a one following from another model.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Another Proof of Ambiguity of the Formula Describing Aliasing and Folding Effects in Spectrum of Sampled Signal
Autorzy:
Borys, Andrzej
Tematy:
signal sampling
occurrence of spectrum aliasing and folding
modelling of non-ideal signal sampling operation
Vetterli's model
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Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/2055252.pdf  Link otwiera się w nowym oknie
Opis:
In this paper, a new proof of ambiguity of the formula describing the aliasing and folding effects in spectra of sampled signals is presented. It uses the model of non-ideal sampling operation published by Vetterli et al. Here, their model is modified and its black-box equivalent form is achieved. It is shown that this modified model delivers the same output sequences but of different spectral properties. Finally, a remark on two possible understandings of the operation of non-ideal sampling is enclosed as well as fundamental errors that are made in perception and description of sampled signals are considered.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling
Autorzy:
Borys, Andrzej Marek
Tematy:
signal sampling
occurrence of spectrum aliasing and folding
signal modelling
signal sampling operation
Kronecker time function
Kronecker comb
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Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/1844614.pdf  Link otwiera się w nowym oknie
Opis:
A new model of ideal signal sampling operation is developed in this paper. This model does not use the Dirac comb in an analytical description of sampled signals in the continuous time domain. Instead, it utilizes functions of a continuous time variable, which are introduced in this paper: a basic Kronecker time function and a Kronecker comb (that exploits the first of them). But, a basic principle behind this model remains the same; that is it also a multiplier which multiplies a signal of a continuous time by a comb. Using a concept of a signal object (or utilizing equivalent arguments) presented elsewhere, it has been possible to find a correct expression describing the spectrum of a sampled signal so modelled. Moreover, the analysis of this expression showed that aliases and folding effects cannot occur in the sampled signal spectrum, provided that the signal sampling is performed ideally.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Filtering Property of Signal Sampling in General and Under-Sampling as a Specific Operation of Filtering Connected with Signal Shaping at the Same Time
Autorzy:
Borys, Andrzej
Tematy:
signal sampling
filtering
discrete-time Fourier transform
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Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/226441.pdf  Link otwiera się w nowym oknie
Opis:
In this paper, we show that signal sampling operation can be considered as a kind of all-pass filtering in the time domain, when the Nyquist frequency is larger or equal to the maximal frequency in the spectrum of a signal sampled. We demonstrate that this seemingly obvious observation has wide-ranging implications. They are discussed here in detail. Furthermore, we discuss also signal shaping effects that occur in the case of signal under-sampling. That is, when the Nyquist frequency is smaller than the maximal frequency in the spectrum of a signal sampled. Further, we explain the mechanism of a specific signal distortion that arises under these circumstances. We call it the signal shaping, not the signal aliasing, because of many reasons discussed throughout this paper. Mainly however because of the fact that the operation behind it, called also the signal shaping here, is not a filtering in a usual sense. And, it is shown that this kind of shaping depends upon the sampling phase. Furthermore, formulated in other words, this operation can be viewed as a one which shapes the signal and performs the low-pass filtering of it at the same time. Also, an interesting relation connecting the Fourier transform of a signal filtered with the use of an ideal low-pass filter having the cut frequency lying in the region of under-sampling with the Fourier transforms of its two under-sampled versions is derived. This relation is presented in the time domain, too.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wireless Diagnostic System With Use Of The Harmonic Polynomial Base
Bezprzewodowy system diagnostyczny z wykorzystaniem baz harmonicznych i wielomianowych
Autorzy:
Syroka, Z.
Tematy:
bezprzewodowy system diagnostyczny
próbkowanie sygnałów
szeregi Fouriera
wielomian ortogonalny
wireless diagnostic system
sampling signal
Fourier series
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Wydawca:
Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
Powiązania:
https://bibliotekanauki.pl/articles/328992.pdf  Link otwiera się w nowym oknie
Opis:
In this work were given the basics of the wireless diagnostic system which is the subject of patent application. This system is using the method of developing signals to Fourier series.
W pracy zostały przedstawione założenia bezprzewodowego systemu diagnostycznego będącego przedmiotem zgłoszenia patentowego [1]. System ten wykorzystuje w nadajniku metodę rozwijania sygnałów w szereg Fouriera.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple proof of incorrectness of the formula describing aliasing and folding effects in spectrum of sampled signal in case of Ideal signal sampling
Autorzy:
Borys, A.
Tematy:
folding effects
ideal signal sampling
incorrectness of the Formula
aliasing effects
spectrum of a sampled signal
signal sampling
proof of incorrectness
Pokaż więcej
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Powiązania:
https://bibliotekanauki.pl/articles/2063994.pdf  Link otwiera się w nowym oknie
Opis:
A simple proof of the incorrectness of the formula, which is used in the literature nowadays, for description of the aliasing and folding effects in the spectrum of a sampled signal in the case of an ideal signal sampling, is given in this paper. By the way, it is also shown that such the effects cannot occur at all, when the signal sampling is considered to be performed perfectly.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Problem of Aliasing and Folding Effects in Spectrum of Sampled Signals in View of Information Theory
Autorzy:
Borys, Andrzej
Tematy:
signal sampling
modeling of sampled signal in the time domain
signal information content
spectrum aliasing and folding
Banach–Tarski-like paradox in signal sampling
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Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/2055264.pdf  Link otwiera się w nowym oknie
Opis:
In this paper, the problem of aliasing and folding effects in spectrum of sampled signals in view of Information Theory is discussed. To this end, the information content of deterministic continuous time signals, which are continuous functions, is formulated first. Then, this notion is extended to the sampled versions of these signals. In connection with it, new signal objects that are partly functions but partly not are introduced. It is shown that they allow to interpret correctly what the Whittaker–Shannon reconstruction formula in fact does. With help of this tool, the spectrum of the sampled signal is correctly calculated. The result achieved demonstrates that no aliasing and folding effects occur in the latter. Finally, it is shown that a Banach–Tarski-like paradox can be observed on the occasion of signal sampling.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extended Definitions of Spectrum of a Sampled Signal
Autorzy:
Borys, Andrzej
Tematy:
spectrum of sample signal
ideal versus non-ideal sampling
modelling of signal sampling process
Pokaż więcej
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/1844508.pdf  Link otwiera się w nowym oknie
Opis:
It is shown that a number of equivalent choices for the calculation of the spectrum of a sampled signal are possible. Two such choices are presented in this paper. It is illustrated that the proposed calculations are more physically relevant than the definition currently in use.
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On modelling and description of the output signal of a sampling device
Autorzy:
Borys, Andrzej
Tematy:
signal sampling
modelling
ideal or non-ideal sampling
averaging operator
Dirac and Kronecker deltas
Pokaż więcej
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:
https://bibliotekanauki.pl/articles/2202544.pdf  Link otwiera się w nowym oknie
Opis:
The problem of an inconsistent description of an “interface” between the A/D converter and the digital signal processor that implements, for example, a digital filtering (described by a difference equation) – when a sequence of some hypothetical weighted Dirac deltas occurs at its input, instead of a sequence of numbers – is addressed in this paper. Digital signal processors work on numbers, and there is no “interface” element that converts Dirac deltas into numbers. The output of the A/D converter is directly connected to the input of the signal processor. Hence, a clear conclusion must follow that sampling devices do not generate Dirac deltas. Not the other way around. Furthermore, this fact has far-reaching implications in the spectral analysis of discrete signals, as discussed in other works referred to in this paper.
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-10 z 27

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