Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling
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 K...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-02-01
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| Series: | International Journal of Electronics and Telecommunications |
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| Online Access: | https://journals.pan.pl/Content/118867/PDF/10_3049_Borys_sk1.pdf |
| _version_ | 1818489266021335040 |
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| author | Andrzej Borys |
| author_facet | Andrzej Borys |
| author_sort | Andrzej Borys |
| collection | DOAJ |
| description | 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 is 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. |
| first_indexed | 2024-12-10T17:01:55Z |
| format | Article |
| id | doaj.art-c220c22adfa8497fa7b2bf65bdc1d27f |
| institution | Directory Open Access Journal |
| issn | 2081-8491 2300-1933 |
| language | English |
| last_indexed | 2024-12-10T17:01:55Z |
| publishDate | 2021-02-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | International Journal of Electronics and Telecommunications |
| spelling | doaj.art-c220c22adfa8497fa7b2bf65bdc1d27f2022-12-22T01:40:33ZengPolish Academy of SciencesInternational Journal of Electronics and Telecommunications2081-84912300-19332021-02-01vol. 67No 17177https://doi.org/10.24425/ijet.2021.135946Spectrum Aliasing Does not Occur in Case of Ideal Signal SamplingAndrzej Borys0Department of Marine Telecommunications, Faculty of Electrical Engineering, Gdynia Maritime University, Gdynia, PolandA 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 is 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.https://journals.pan.pl/Content/118867/PDF/10_3049_Borys_sk1.pdfsignal samplingoccurrence of spectrum aliasing and foldingmodelling of signal sampling operationkronecker time functionkronecker comb |
| spellingShingle | Andrzej Borys Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling International Journal of Electronics and Telecommunications signal sampling occurrence of spectrum aliasing and folding modelling of signal sampling operation kronecker time function kronecker comb |
| title | Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling |
| title_full | Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling |
| title_fullStr | Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling |
| title_full_unstemmed | Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling |
| title_short | Spectrum Aliasing Does not Occur in Case of Ideal Signal Sampling |
| title_sort | spectrum aliasing does not occur in case of ideal signal sampling |
| topic | signal sampling occurrence of spectrum aliasing and folding modelling of signal sampling operation kronecker time function kronecker comb |
| url | https://journals.pan.pl/Content/118867/PDF/10_3049_Borys_sk1.pdf |
| work_keys_str_mv | AT andrzejborys spectrumaliasingdoesnotoccurincaseofidealsignalsampling |