This paper introduces a new family of optimal transform coders (TC) based on the generalized triangular decomposition (GTD) developed by Jiang, et al. The new class contains 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 that of the KLT (equivalently the PLT). Even though the original PLT was only applicable for blocked versions of scalar wide sense stationary (WSS) processes, the GTD based family includes members which are natural extensions of the PLT.
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