Uniqueness characteristics of the 2-D IIR mean squared error minimization

J. C. Strait, William Kenneth Jenkins

    Research output: Contribution to journalConference article

    Abstract

    Several different two-dimensional adaptive filter structures and algorithms have been developed, the most recent of which is a 2D IIR adaptive filter. Two-dimensional IIR adaptive filters can be used in a variety of image and video processing applications. Of primary concern with IIR adaptive filters, whether 1D or 2D, is the possible existence of multiple stationary points on the mean-squared error surface. Gradient based adaptive algorithms can get stuck at suboptimal local minima, rendering themselves less effective. Results show that the 2D IIR mean-squared-error performance surface characteristics are similar to those of the 1D IIR adaptive filter with respect to unimodality of the error surface. The authors explore the mathematical characteristics of the 2D IIR MSE minimization problem. Some simple special cases are examined, and experimental evidence is discussed.

    Original languageEnglish (US)
    Article number413419
    Pages (from-to)770-774
    Number of pages5
    JournalProceedings - International Conference on Image Processing, ICIP
    Volume1
    DOIs
    StatePublished - Jan 1 1994
    EventProceedings of the 1994 1st IEEE International Conference on Image Processing. Part 3 (of 3) - Austin, TX, USA
    Duration: Nov 13 1994Nov 16 1994

    Fingerprint

    Adaptive filters
    IIR filters
    Adaptive algorithms
    Processing

    All Science Journal Classification (ASJC) codes

    • Software
    • Computer Vision and Pattern Recognition
    • Signal Processing

    Cite this

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    abstract = "Several different two-dimensional adaptive filter structures and algorithms have been developed, the most recent of which is a 2D IIR adaptive filter. Two-dimensional IIR adaptive filters can be used in a variety of image and video processing applications. Of primary concern with IIR adaptive filters, whether 1D or 2D, is the possible existence of multiple stationary points on the mean-squared error surface. Gradient based adaptive algorithms can get stuck at suboptimal local minima, rendering themselves less effective. Results show that the 2D IIR mean-squared-error performance surface characteristics are similar to those of the 1D IIR adaptive filter with respect to unimodality of the error surface. The authors explore the mathematical characteristics of the 2D IIR MSE minimization problem. Some simple special cases are examined, and experimental evidence is discussed.",
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    Uniqueness characteristics of the 2-D IIR mean squared error minimization. / Strait, J. C.; Jenkins, William Kenneth.

    In: Proceedings - International Conference on Image Processing, ICIP, Vol. 1, 413419, 01.01.1994, p. 770-774.

    Research output: Contribution to journalConference article

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