Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
I.F. Gorodnitsky , Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA
B.D. Rao , Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA
The paper considers regularization of inverse solutions to linear problems. We derive the relationship between the error due to regularization and the energy distribution in the observation vector across the width of the singular value spectrum of the linear model used. One result of the analysis is that conditions exist under which no close approximation to the true solution can be found. It follows that a check of these conditions to determine the success of the regularization is important and we feel it should be included in the regularization process. The presentation includes a series of simulations to illustrate the analysis.<
error analysis, singular value decomposition, statistical analysis, signal processing
I. Gorodnitsky and B. Rao, "Analysis of error produced by truncated SVD and Tikhonov regularization methods," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 25-29.