Title :
Design of 2-dimensional linear phase perfect reconstruction FIR filter bank using Lagrange multiplier method
Author :
Ikehara, Masaaki ; Inose, Kenji
Author_Institution :
Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan
Abstract :
We present a design method of 2-dimensional (2D) linear phase (LP) perfect reconstruction (PR) FIR filter banks based on the Lagrange multiplier method. In M analysis filters, we first design M-1 analysis filters which have an LP property. Finally we design the Mth analysis filter with LP so that the overall system satisfy PR. Then the Mth analysis filter is optimized to have a good response while keeping PR based on the Lagrange multiplier method. By this method, 2D LP PR filter banks can be easily designed by only solving the simultaneous equation, although the order of the Mth analysis filter is higher than that of the others
Keywords :
FIR filters; delay circuits; filtering theory; signal reconstruction; signal synthesis; two-dimensional digital filters; 2D linear phase FIR filter bank; analysis filters; perfect reconstruction filter bank; sampling matrix; simultaneous equation solution; Design methodology; Design optimization; Equations; Filter bank; Finite impulse response filter; Image reconstruction; Lagrangian functions; Matrix decomposition; Sampling methods; Signal analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3192-3
DOI :
10.1109/ICASSP.1996.544100
