Title :
Multi-dimensional, paraunitary principal component filter banks
Author :
Xuan, Bo ; Bamberger, Roberto H.
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
Abstract :
This paper presents a generalization of the one-dimensional principal component filter bank (PCFB) derived by Tsatsanis (see Univ. of Virginia, Ph.D. Thesis, Sept. 1992.) to higher dimensions. Previously, the results of Tsatsanis were extended to two-dimensional signals, but this was limited to 2D signals and separable resampling operators. The filter bank discussed results in minimizing the mean squared error when only Q out of P subbands are retained. Furthermore, it is shown that the filter bank maximizes the theoretical coding gain (TCG). Simulations are presented, showing the results for reconstructing an image from only the first subband signal, demonstrating the potential of the PCFB
Keywords :
band-pass filters; filtering theory; image coding; image reconstruction; multidimensional digital filters; 2D signals; image reconstruction; mean squared error minimisation; multidimensional filter banks; one-dimensional principal component filter bank; paraunitary principal component filter banks; resampling operators; simulations; subband signal; theoretical coding gain; two-dimensional signals; Band pass filters; Channel bank filters; Filter bank; Image coding; Image reconstruction; Phase distortion; Signal analysis; Signal design; Signal processing; Signal synthesis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.480566
