Abstract
This paper presents the theory, structure, design, and implementation of lapped transforms (LTs) with arbitrary block size. These new transforms are basically M-channel linear phase perfect reconstruction filter banks (LPPRFBs) with all filters having the same length L=KM+/spl beta/, where K and /spl beta/ are any integers, K/spl ges/1,/spl beta//spl ges/0. This is the truly general lapped transform where the amount of overlap is not constrained to be a multiple of the number of channels. The design approach is based on the transform's parameterization by a lattice structure that can be proven to be complete, minimal, robust and modular. Design examples show that the new family of LTs is comparable to the ones in previous works while providing more flexibility in the trade-off between transform performance and complexity.
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