TY - JOUR
T1 - Uniqueness characteristics of the 2-D IIR mean squared error minimization
AU - Strait, J. C.
AU - Jenkins, W. K.
N1 - Funding Information:
This work is supported in part by the National Science Foundation under grant number NSF MIP 91-00212 and in part by the Joint Services Electronics Program under grant N00014-90-J-1270. The results and opinions expressed in this paper do not necessarily represent those of the sponsoring agencies.
Publisher Copyright:
© 1994 IEEE.
PY - 1994
Y1 - 1994
N2 - 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.
AB - 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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U2 - 10.1109/ICIP.1994.413419
DO - 10.1109/ICIP.1994.413419
M3 - Conference article
AN - SCOPUS:84996847778
SN - 1522-4880
VL - 1
SP - 770
EP - 774
JO - Proceedings - International Conference on Image Processing, ICIP
JF - Proceedings - International Conference on Image Processing, ICIP
M1 - 413419
T2 - Proceedings of the 1994 1st IEEE International Conference on Image Processing. Part 3 (of 3)
Y2 - 13 November 1994 through 16 November 1994
ER -