A new result on description of the spectrum of a sampled signal

• Autorzy: Borys A.

Identyfikatory

DOI

10.12716/1001.18.02.17

• Języki publikacji: EN

Abstrakty

EN

It is explained, in introduction of this paper, why the description of the output signal at an A/D converter in the form that is presented in such respected textbooks as: a one written by Prandoni and Vetterli, and another one by van de Plassche is appropriate and correct. Unlike all others, especially those using in it the so-called comb of Dirac deltas. The latter ones do not lead to getting a correct formula for the spectrum of the output waveform of an A/D converter, or they yield no formula at all. Using the description of the A/D output signal in form of a step function (as in the textbooks mentioned above), a new, correct formula for calculating the spectrum of the sampled signal is derived in this paper. It is a revised version of the formula currently used in the literature, that is of the so-called Discrete-Time Fourier Transform (DTFT), and it is a product of this DTFT and a certain correction factor. Finally, some literature items are referred to in which the designers of integrated circuits (containing A/D converters) point out discrepancies that arise in designs when the multiplying factor mentioned above is not taken into account.

Słowa kluczowe

EN

signal processing; signal spectrum; spectrum of a sampled signal; A/D converters; discrete time fourier transform; dirac delta; FET transistor; calculations

• Wydawca: Faculty of Navigation, Gdynia Maritime University
• Czasopismo: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
• Rocznik: 2024
• Tom: Vol. 18 No. 2
• Strony: 393--397
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Borys A.

• Gdynia Maritime University, Gdynia, Poland

Bibliografia

• 1. Prandoni P., Vetterli M. 2008. Signal Processing for Communications, Lausanne: EPFL Press.
• 2. van de Plassche R. 1994. Integrated Analog‐To‐Digital and Digital‐To‐Analog Converters, Berlin: Springer Verlag.
• 3. Borys A. 2022. Sampled signal description that is used in calculation of spectrum of this signal needs revision, IEEE Signal Processing Letters, submitted for publication.
• 4. Oppenheim A. V., Schafer R. W., Buck J. R. 1998. Discrete‐ Time Signal Processing, New Jersey: Prentice Hall.
• 5. Vetterli M., Kovacevic J., Goyal V. K. 2014. Foundations of Signal Processing, Cambridge University Press, Cambridge.
• 6. de la Rosa J., Perez‐Verdu B., Medeiro F., del Rio R., Rodriguez‐Vazquez A. 2001. Effect of non‐linear settling error on the harmonic distortion of fully‐differential switched‐current bandpass sigma‐delta modulators, Proceedings of the Conference ISCAS’2001, 340‐343.
• 7. de la Rosa J., Perez‐Verdu B., Medeiro F., del Rio R., Rodriguez‐ Vazquez A. 2004. Analysis of error mechanisms in switched‐current sigma‐delta modulators, Analog Integrated Circuits and Signal Processing, vol. 38, 175– 201.