Matrix analysis
Topics in matrix analysis
Vector quantization and signal compression
Vector quantization and signal compression
Multirate systems and filter banks
Multirate systems and filter banks
MIMO transceiver design via majorization theory
Foundations and Trends in Communications and Information Theory
MIMO transceivers with decision feedback and bit loading: theory and optimization
IEEE Transactions on Signal Processing
Joint transceiver design for MIMO communications using geometric mean decomposition
IEEE Transactions on Signal Processing - Part I
Prediction-based lower triangular transform
IEEE Transactions on Signal Processing
Theory of optimal orthonormal subband coders
IEEE Transactions on Signal Processing
Analysis of low bit rate image transform coding
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
MINLAB: minimum noise structure for ladder-based biorthogonalfilter banks
IEEE Transactions on Signal Processing
Uniform channel decomposition for MIMO communications
IEEE Transactions on Signal Processing
A theoretical high-rate analysis of causal versus unitary online transform coding
IEEE Transactions on Signal Processing
Suboptimality of the Karhunen-Loeve transform for transform coding
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
IEEE Journal on Selected Areas in Communications
On the optimality of nonunitary filter banks in subband coders
IEEE Transactions on Image Processing
Hi-index | 35.69 |
A general family of optimal transform coders (TCs) is introduced here based on the generalized triangular decomposition (GTD) developed by Jiang et al. This family includes the Karhunen-Loeve transform (KLT) and the generalized version of the prediction-based lower triangular transform (PLT) introduced by Phoong and Lin as special cases. The coding gain of the entire family, with optimal bit allocation, is equal to that of the KLT and the PLT. Even though the original PLT introduced by Phoong et al. is not applicable for vectors that are not blocked versions of scalar wide sense stationary processes, the GTD-based family includes members that are natural extensions of the PLT, and therefore also enjoy the so-called MINLAB structure of the PLT, which has the unit noise-gain property. Other special cases of the GTD-TC are the geometric mean decomposition (GMD) and the bidiagonal decomposition (BID) transform coders. The GMD-TC in particular has the property that the optimum bit allocation is a uniform allocation; this is because all its transform domain coefficients have the same variance, implying thereby that the dynamic ranges of the coefficients to be quantized are identical.