A Topological Low-Pass Filter for Quasi-Periodic Signals

被引:6
|
作者
Robinson, Michael [1 ]
机构
[1] Amer Univ, Dept Math & Stat, Washington, DC 20016 USA
关键词
Adaptive filters; delay embedding; phase retrieval; quasiperiodic function;
D O I
10.1109/LSP.2016.2619678
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
This letter presents a two-stage topological algorithm for recovering an estimate of a quasi-periodic function from a set of noisy measurements. The first stage of the algorithm is a topological phase estimator, which detects the quasi-periodic structure of the function without placing additional restrictions on the function. By respecting this phase estimate, the algorithm avoids creating distortion even when it uses a large number of samples for the estimate of the function.
引用
收藏
页码:1771 / 1775
页数:5
相关论文
共 50 条
  • [1] Kalman filter analysis for quasi-periodic signals
    Nishi, K
    [J]. 2001 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-VI, PROCEEDINGS: VOL I: SPEECH PROCESSING 1; VOL II: SPEECH PROCESSING 2 IND TECHNOL TRACK DESIGN & IMPLEMENTATION OF SIGNAL PROCESSING SYSTEMS NEURALNETWORKS FOR SIGNAL PROCESSING; VOL III: IMAGE & MULTIDIMENSIONAL SIGNAL PROCESSING MULTIMEDIA SIGNAL PROCESSING - VOL IV: SIGNAL PROCESSING FOR COMMUNICATIONS; VOL V: SIGNAL PROCESSING EDUCATION SENSOR ARRAY & MULTICHANNEL SIGNAL PROCESSING AUDIO & ELECTROACOUSTICS; VOL VI: SIGNAL PROCESSING THEORY & METHODS STUDENT FORUM, 2001, : 3937 - 3940
  • [2] Optimum filter theory for quasi-periodic signals
    Nishi, K
    [J]. ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 2003, 86 (09): : 43 - 53
  • [3] A LOW-PASS NOTCH FILTER FOR BIOELECTRIC SIGNALS
    THOMAS, CW
    HUEBNER, WP
    LEIGH, RJ
    [J]. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1988, 35 (06) : 496 - 498
  • [4] Adaptive comb filter for quasi-periodic physiologic signals
    Cyrill, D
    McNames, J
    Aboy, M
    [J]. PROCEEDINGS OF THE 25TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-4: A NEW BEGINNING FOR HUMAN HEALTH, 2003, 25 : 2439 - 2442
  • [5] NONLINEAR LOW-PASS FILTER REJECTS IMPULSE SIGNALS
    GILBERT, B
    [J]. ELECTRONICS, 1976, 49 (07): : 82 - 83
  • [6] LOW-PASS FILTER
    GIOVANELLI, J
    [J]. AUDIO, 1984, 68 (01): : 20 - 20
  • [7] LOW-PASS FILTER DESIGN
    ZVEREV, AI
    [J]. ELECTRO-TECHNOLOGY, 1966, 77 (03): : 36 - &
  • [8] A SIMPLE LOW-PASS FILTER
    ERLICKI, MS
    SCHIEBER, D
    [J]. ISRAEL JOURNAL OF TECHNOLOGY, 1968, 6 (04): : 265 - &
  • [9] COMPENSATING LOW-PASS FILTER
    SHAKHMARDANOV, SM
    ALIEV, AV
    [J]. MEASUREMENT TECHNIQUES-USSR, 1971, 14 (12): : 1950 - +
  • [10] Low-pass filter distortion
    Kimber, D
    [J]. ELECTRONICS WORLD, 2001, 107 (1784): : 637 - 637