Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Basics of Low-Pass Delta Modulation Kapitel lesen Erstes Kapitel lesen

2020 | OriginalPaper | Buchkapitel

3. Rectification of a Delta-Sigma Modulated Signal

verfasst von : Djuro G. Zrilic

Erschienen in: Functional Processing of Delta-Sigma Bit-Stream

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Techniques of direct processing of the Δ-Σ modulated pulse stream emerged more than four decades ago. In 1978, N. Kouvaras [1] proposed the use of a serial binary adder as a delta adder, with an interchanged role of the Sum and Carry—out terminals of the binary adder. In that paper, Kouvaras defined the formula to find the sum of two Δ-Σ modulated pulse streams and used a delta adder as a basic processing element in the implementation of FIR and IIR filters. Over the years, a number of papers have been published dealing with linear processing of Δ-Σ modulated pulse streams [2–4]. Analytical evaluation and proof of Kouvaras’ formulas were elaborated in Chap. 2.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Vorheriges Kapitel Linear Processing of a Delta-Modulated Bit-Stream
Nächstes Kapitel Multiplication of Two ∆-Σ Bit-Streams
Literatur
1.
Kouvaras, N. (1978). Operations on delta-modulated signals and their application in the realization of digital filters. Radio and Electronic Engineer, 48(9), 431–438.CrossRef
2.
O’Leary, P., & Maloberty, F. (1990). Bit stream adder for oversampling coded data. Electronics Letters, 26(20), 1708–1709.CrossRef
3.
Liang, L., Wang, Z. G., Meng, Q. Q., & Guo, X. D. (2010). Design of high-speed high SNR bit-stream adder based on ΣΔ modulation. Electronics Letters, 46(11), 752–753.CrossRef
4.
Johns, D., & Lewis, D. (1993). Design and analysis of delta-sigma based IIR filters. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 40(4), 233–240.CrossRef
5.
de Fonte Dias, V. (1995). Signal processing in the sigma-delta domain. Microelectronics Journal, 26, 543–562.CrossRef
6.
Hidaka, Y., Fujisaka, H., Sakamoto, M., & Morisue, M. (2002). Piecewise linear operations on sigma-delta modulated signals. In 9th International Conference on Electronics, Circuits and Systems, vol. 3, pp. 983–986.
7.
Matsuyama, K., Fujisaka, H., & Kamino, T. (2005). Arithmetic and piecewise linear circuits for sigma-delta domain multi-level signal processing. In 2005 International Symposium on Nonlinear Theory and its Applications (NOLTA 2005), October 2005, pp. 58–61.
8.
Fujisaka, H. (2010). Single-electron circuit for sigma-delta domain signal processing, cutting edge nanotechnology. INTECH. www.​intechopen.​com, pp. 347–372.
9.
Fujisaka, H., Kamio, T., Ahn, C.-J., Sakamoto, M., & Haeiwa, K. (2012). Sorter- based arithmetic circuits for sigma-delta domain signal processing - part I: Addition, approximate transcendental functions, and log-domain operations. IEEE Transactions on Circuits and Systems I: Regular Papers, 59(9), 1952–1965.MathSciNetCrossRef
10.
Fujisaka, H., Sakamoto, M., Ahn, C.-J., Kamio, T., & Haeiwa, K. (2012). Sorter-based arithmetic circuits for sigma-delta domain signal processing - part ii: Multiplication and algebraic functions. IEEE Transactions on Circuits and Systems I: Regular Papers, 59(9), 1966–1979.MathSciNetCrossRef
11.
Fujisaka, H., Kamio, T., Ahn, C.-J., & Haeiwa, K. (2013). Sequence characteristics of multi-level and second-order sigma-delta modulated signals. IEICE Nonlinear Theory and Its Applications, 4, 313–339.CrossRef
12.
Freedman, M., & Zrilic, D. G. (1990). Nonlinear arithmetic operations on the delta sigma pulse stream. Signal Processing, 21(1), 25–35.CrossRef
13.
Hein, S., & Zakho, A. (1993). Sigma delta modulators, nonlinear decoding algorithms and stability analysis. Boston: Kluwer. ISBN 978-1-4615-3138-8.
14.
Zrilic, D. G., Petrovic, G., & Tang, W. (2017). Novel solution of a delta-sigma-based rectifying encoder. IEEE Transactions on Circuits and Systems II: Express Briefs, 64(10), 1242–1246.CrossRef
15.
Zrilic, D. G. (2012). US Patent, Appl. No. 13/694,560, Dec. 12, 2012.
16.
Zrilic, D. G. Method and apparatus for full-wave rectification of delta- sigma modulated signals. US Patent No.: 9, 525, 430 B1.
17.
Zrilic, D. G. (2015). US Patent, Appl. No. 14/999,971, Dec. 03, 2015.
18.
Chao, K. C. H., Nadeem, S., Lee, W. L., & Sodini, C. G. (1990). A higher order topology for interpolative modulators for oversampling A/D converters. IEEE Transaction on Circuits and Systems, CAS-37, 308–318.
19.
de la Rosa, J. M. (2011). Sigma-delta modulators: Tutorial overview, design guide, and state of the art survey. IEEE Transactions on Circuits and Systems I: Regular Papers, 58(1), 1–2.MathSciNetCrossRef
20.
Gray, R. (1987). Oversampled sigma-delta modulation. IEEE Transactions on Communications, 35(5), 481–489.CrossRef
21.
Bourdopoulos, G. I., Pnevmatikakis, A., Anastassopoulos, V., & Deliyannis, T. L. (2006). Delta-Sigma modulators: Modeling, design and applications. London: Imperial College Press. ISBN 1-86094-369-1.
Metadaten
Titel
Rectification of a Delta-Sigma Modulated Signal
verfasst von
Djuro G. Zrilic
Copyright-Jahr
2020
Buch
Functional Processing of Delta-Sigma Bit-Stream

Print ISBN: 978-3-030-47647-2

Electronic ISBN: 978-3-030-47648-9

Copyright-Jahr: 2020

DOI
https://doi.org/10.1007/978-3-030-47648-9_3

Neuer Inhalt

    Bildnachweise