COEFFICIENT QUANTIZATION ERROR FREE FIXED-POINT IIR POLYNOMIAL PREDICTOR DESIGN

Jarno M. A. Tanskanen · 2000

In this paper, roundoff noise properties of fixed-point IIR poly-nomial predictors (FIPPs) and polynomial-predictive differentiators (FIPPDs) are investigated. These filters are de-signed by augmenting the corresponding FIR basis filters with magnitude response shaping feedbacks. Here we use ideally quantized coefficient (coefficient quantization error free) poly-nomial FIR predictors (PFPs) or predictive differentiators (PPFDs) as basis filters. Also, sufficient conditions for design-ing coefficient quantization error free direct form FIPPs are given for completeness, even though augmented FIR imple-mentations of FIPPs and FIPPDs are preferred since they are coefficient quantization error free by their nature, and offer greater flexibility for magnitude response shaping without af-fecting the desired group delay properties set forth by the un-derlying PFP or PPFD. 1.

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