Behavior of Formula for Spectrum of Sampled Signal when Sampling Period Tends to Zero

This paper is devoted to consideration of behaviour of two formulas used in the literature to describe the spectra of sampled signals in the case of value of the sampling period going to zero. It is shown here that they do not lead to the same result, as we would expect. Only one of them gives an outcome compatible with reality.

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Publication Details

Journal
TransNav the International Journal on Marine Navigation and Safety of Sea Transportation
Published
2025-01-01
DOI
https://doi.org/10.12716/1001.19.03.21
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
0.00
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article

Behavior of Formula for Spectrum of Sampled Signal when Sampling Period Tends to Zero

Andrzej Borys
TransNav the International Journal on Marine Navigation and Safety of Sea Transportation
Mathematical Analysis and Transform Methods
article

Behavior of Formula for Spectrum of Sampled Signal when Sampling Period Tends to Zero

Andrzej Borys
article en

Abstract

This paper is devoted to consideration of behaviour of two formulas used in the literature to describe the spectra of sampled signals in the case of value of the sampling period going to zero. It is shown here that they do not lead to the same result, as we would expect. Only one of them gives an outcome compatible with reality.

TransNav the International Journal on Marine Navigation and Safety of Sea TransportationVol. 19(3)
Openalex Percentile: Top 56%
Mathematical Analysis and Transform Methods
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Behavior of Formula for Spectrum of Sampled Signal when Sampling Period Tends to Zero — Andrzej Borys · TransNav the International Journal on Marine Navigation and Safety of Sea Transportation (2025) | TGRS Research Map | TGRS