Model-based multirate Kalman filtering approach for optimal two-dimensional signal reconstruction from noisy subband systems

Jiang Qun Ni; Ka Leung Ho; Kai Wing Tse

doi:10.1117/1.601758

1 August 1998 Model-based multirate Kalman filtering approach for optimal two-dimensional signal reconstruction from noisy subband systems

Jiang Qun Ni, Ka Leung Ho, Kai Wing Tse

Author Affiliations +

Optical Engineering, Vol. 37, Issue 8, (August 1998). https://doi.org/10.1117/1.601758

Conventional synthesis filters in subband systems lose their optimality when additive noise (due, for example, to signal quantization) disturbs the subband components. The multichannel representation of subband signals is combined with the statistical model of input signal to derive the multirate state-space model for the filter bank system with additive subband noises. Thus the signal reconstruction problem in subband systems can be formulated as the process of optimal state estimation in the equivalent multirate state-space model. Incorporated with the vector dynamical model, a 2-D multirate state-space model suitable for 2-D Kalman filtering is developed. The performance of the proposed 2-D multirate Kalman filter can be further improved through adaptive segmentation of the object plane. The object plane is partitioned into disjoint regions based on their spatial activity, and different vector dynamical models are used to characterize the nonstationary object-plane distributions. Finally, computer simulations with the proposed 2-D multirate Kalman filter give favorable results.

Citation Download Citation

Jiang Qun Ni, Ka Leung Ho, and Kai Wing Tse "Model-based multirate Kalman filtering approach for optimal two-dimensional signal reconstruction from noisy subband systems," Optical Engineering 37(8), (1 August 1998). https://doi.org/10.1117/1.601758

Published: 1 August 1998

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available