Some recent work on lattice structures for digital signal processing

Abstract

This paper is concerned with a review of some recent work on derivation and synthesis of lattice structures for digital signal processing (DSP). In particular, synthesis of canonical structures for both finite impulse response (FIR) and infinite impulse response (IIR) transfer functions is presented in detail. This has been an outstanding problem in DSP, and I demonstrate here how the solution came through very simple ideas and reasoning. Besides a consolidation of results published earlier in various papers, some new results containing refinements and simplifications in the synthesis procedures have also been presented.

VLSI implementation of anti‐notch lattice structure for identification of exon regions in Eukaryotic genes

“…They have several advantages over direct form structures, such as [22]: lesser sensitivity to coefficients quantisation and roundoff errors; architecture is modular in nature (i.e. an extra stage can be easily added if the order of the filter is increased [23]); in the hardware implementation, there is a requirement of the lower number of multipliers. The lattice structures are also effective as predictors/ identifiers (as the structure simultaneously generates the forward and backward prediction errors).…”