Block-state recursive digital filters with minimum round-off noise

The development of a block state-structure with minimum round-off noise subject to ℓ 2 -norm dynamic range constraint is outlined. The pertinent equations for scaling and for round-off noise analysis of block-state structures are first derived. Next, a lower bound and the global minimum of the outpu...

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Published inICASSP '80. IEEE International Conference on Acoustics, Speech, and Signal Processing Vol. 5; pp. 81 - 84
Main Authors Ananthakrishna, P., Mitra, S.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1980
Subjects
Computational complexity
Digital filters
Dynamic range
Equations
IIR filters
State-space methods
Tellurium
Transfer functions
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DOI10.1109/ICASSP.1980.1171039

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Summary:The development of a block state-structure with minimum round-off noise subject to ℓ 2 -norm dynamic range constraint is outlined. The pertinent equations for scaling and for round-off noise analysis of block-state structures are first derived. Next, a lower bound and the global minimum of the output noise due to the round-off of the block-state variables are derived. A method of deriving the minimum round-off noise block state-structure is outlined. A numerical example is included. With regard to computational complexity and overall noise performance, the block state realization of recursive digital filters is shown to be superior.
DOI:10.1109/ICASSP.1980.1171039