Fixed-point implementation of Lattice Wave Digital Filter: Comparison and error analysis

Abstract

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Towards Hardware IIR Filters Computing Just Right: Direct Form I Case Study

“…It would also be interesting to consider other filter structures, such as Direct Form II (transposed or not), statespaces, cascade and/or parallel decomposition, ρ-operator based structures, Lattice Wave Digital filters [30], etc. These algorithms are less sensitive to finite precision effects [30] (coefficient quantization and roundoff errors) and, even if some of them require more computations than the DFI, the total area (LUT) to achieve just right computing may be reduced. This work will allow one to quantify this, although it will not be completely straightforward: these structures have many intermediate formats, whose sizes also have to be determined and minimized.…”

VLSI Implementation of Fixed-Point Lattice Wave Digital Filters for Increased Sampling Rate

“…The goal of a fixed-point arithmetic is to maximize the filter performance and minimize finite-word-length effects [20][21][22][23][24]. It is desired that the coefficient values γ k for k = 0, 1, 2, .…”