Matrix analysis
Topics in matrix analysis
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
MINLAB: minimum noise structure for ladder-based biorthogonalfilter banks
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
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A general family of optimal transform coders (TC) 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 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 those of the KLT and the PLT. Even though the PLT is not applicable for vectors which are not blocked versions of scalar wide sense stationary (WSS) processes, the GTD based family includes members which 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 GMD (geometric mean decomposition) and the BID (bidiagonal transform). The GMD in particular has the property that the optimal bit allocation (which is required for achieving the maximum coding gain) is a uniform allocation, thereby eliminating the need for bit allocation.