Title :
A new class of optimal biorthogonal subband coder
Author :
Phoong, See-May ; Lin, Yuan-Pei
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
In this letter, we introduce a novel two-channel biorthogonal subband coder. The new coder employs the ladder structure (or so-called wavelet with lifting scheme). The coding gain of the biorthogonal coder is always greater than or equal to unity, and it can be expressed in closed form. Moreover the proposed coder has a very low complexity and the perfect reconstruction property is structurally preserved. Given any filter order, the optimal solution can be found by the well-known Levinson fast algorithm. For both AR(1) process and MA(1) process, the proposed biorthogonal coder with 2 taps has a higher coding than the optimal orthonormal coder with infinite number of taps.
Keywords :
autoregressive processes; computational complexity; filtering theory; ladder filters; moving average processes; transform coding; wavelet transforms; AR(1) process; Levinson fast algorithm; MA(1) process; coding gain; filter order; ladder structure; lifting scheme; optimal biorthogonal subband coder; perfect reconstruction property; two-channel biorthogonal subband coder; very low complexity; wavelet; Additive noise; Bit rate; Computational efficiency; Control engineering; Decorrelation; Filter bank; Finite impulse response filter; Image coding; Image reconstruction; Statistics;
Journal_Title :
Signal Processing Letters, IEEE