Design of two-dimensional signal adapted filter bank from one dimensional filters

Authors:
V. S. Sheeba;Elizabeth Elias
Affiliations:
Department of Electrical Engineering, National Institute of Technology, Calicut, Kerala, India;Department of Electrical Engineering, National Institute of Technology, Calicut, Kerala, India
Venue:
SMO'06 Proceedings of the 6th WSEAS International Conference on Simulation, Modelling and Optimization
Year:
2006

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Abstract

We present the design of two dimensional finite impulse response (FIR) signal adapted filter banks for an input signal whose power spectral density is separable. One dimensional FIR filters are designed for each of the separable components using iterative greedy algorithm. The first and last filters in this 2D filter bank are found to be separable and matching closely with ideal ones. The remaining filters are nonseparable and time varying. Since most of the input signal energy is packed in the first subband this design method is useful in optimal representation of images.