Design of time-continuous Sigma Delta-Modulators - Equivalence between time-continuous and time-discrete Systems

被引:0
|
作者
Anders, J. [1 ]
Mathis, W. [2 ]
Ortmanns, M. [2 ]
机构
[1] Leibniz Univ Hannover, Inst Theoret Elektrotech, Appelstr 9A, D-30167 Hannover, Germany
[2] Albert Ludwigs Univ, Inst Mikrosyst Technol, D-79110 Freiburg, Germany
关键词
Digital control systems - Discrete time control systems - Continuous time systems - Delta sigma modulation;
D O I
10.5194/ars-5-221-2007
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In the article at hand a complete equivalency, i.e. including the input signal, between continuous-time and discrete-time Delta Sigma-modulators in state-space is derived. In addition, it is shown, how one can incorporate the important non-ideality of "excess loop delay" into the formalism. The method introduced is supposed to facilitate the design, especially the stability analysis part of the design, of continuous time Delta Sigma s by making use of the empirically thoroughly examined discrete-time systems.
引用
收藏
页码:221 / 224
页数:4
相关论文
共 50 条
  • [1] GENERAL TIME-DISCRETE EQUIVALENT TO A TIME-CONTINUOUS GAUSSIAN CHANNEL
    ERICSON, T
    JOHANSSON, U
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1974, 20 (04) : 544 - 549
  • [2] Time-continuous and time-discrete SIR models revisited: theory and applications
    Wacker, Benjamin
    Schluter, Jan
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [3] Time-continuous and time-discrete SIR models revisited: theory and applications
    Benjamin Wacker
    Jan Schlüter
    [J]. Advances in Difference Equations, 2020
  • [4] FOR TIME-CONTINUOUS OPTIMISATION
    Heinrich, Mary Katherine
    Ayres, Phil
    [J]. PROCEEDINGS OF THE 21ST INTERNATIONAL CONFERENCE ON COMPUTER-AIDED ARCHITECTURAL DESIGN RESEARCH IN ASIA (CAADRIA 2016): LIVING SYSTEMS AND MICRO-UTOPIAS: TOWARDS CONTINUOUS DESIGNING, 2016, : 373 - 382
  • [5] Design of Time-Continuous Emotion Rating Interfaces
    Woodworth, Jason W.
    Borst, Christoph W.
    [J]. 29TH ACM SYMPOSIUM ON VIRTUAL REALITY SOFTWARE AND TECHNOLOGY, VRST 2023, 2023,
  • [6] Time-Continuous Bell Measurements
    Hofer, Sebastian G.
    Vasilyev, Denis V.
    Aspelmeyer, Markus
    Hammerer, Klemens
    [J]. PHYSICAL REVIEW LETTERS, 2013, 111 (17)
  • [7] SUPERSYMMETRIC TIME-CONTINUOUS DISCRETE RANDOM-WALKS
    ROSU, HC
    REYES, M
    [J]. PHYSICAL REVIEW E, 1995, 51 (05): : 5112 - 5115
  • [8] Discrete versus Ordinal Time-Continuous Believability Assessment
    Pacheco, Cristiana
    Melhart, David
    Liapis, Antonios
    Yannakakis, Georgios N.
    Perez-Liebana, Diego
    [J]. 2021 9TH INTERNATIONAL CONFERENCE ON AFFECTIVE COMPUTING AND INTELLIGENT INTERACTION WORKSHOPS AND DEMOS (ACIIW), 2021,
  • [9] INFORMATION CAPACITY OF TIME-CONTINUOUS CHANNELS
    HUANG, RY
    JOHNSON, RA
    [J]. IRE TRANSACTIONS ON INFORMATION THEORY, 1962, 8 (05): : S191 - &
  • [10] Time-continuous Delta-Sigma A/D converters: From theory to practical implementation
    Buhmann, A.
    Keller, M.
    Ortmanns, M.
    Gerfers, F.
    Manoli, Y.
    [J]. ADVANCED SIGNAL PROCESSING, CIRCUITS, AND SYSTEM DESIGN TECHNIQUES FOR COMMUNICATIONS, 2006, : 169 - +