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Cited by 278

The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.

On the Interaction of Roundoff Noise and Dynamic Range in Digital Filters*

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Jackson, Leland B.·1970·Bell System Technical Journal

Abstract

The interaction between the roundoff-noise output from a digital filter and the associated dynamic-range limitations is investigated for the case of uncorrelated rounding errors from sample to sample and from one error source to another. The required dynamic-range constraints are derived in terms of Lpnorms of the input-signal spectrum and the transfer responses to selected nodes within the filter. The concept of “transpose configurations” is introduced and is found to be quite useful in digital-filter synthesis; for although such configurations have identical transfer functions, their roundoff-noise outputs and dynamic-range limitations can be quite different, in general. Two transpose configurations for the direct form of a digital filter are used to illustrate these results.

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Crossref · 10.1002/j.1538-7305.1970.tb01763.x

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Metadata

Authors
Jackson, L. B.
Venue
Bell System Technical Journal
Published
1970-02
Volume
49
Issue
2
Pages
159-184
ISSN
0005-8580 (ISSN-L)
OpenAlex
W2040237604
Cited by
278
References
8
FWCI
16.14
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: On the Interaction of Roundoff Noise and Dynamic Range in Digital Filters*. https://app.cochat.ai/papers/10.1002/j.1538-7305.1970.tb01763.x
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Jackson, L. B. (1970). On the Interaction of Roundoff Noise and Dynamic Range in Digital Filters*. Bell System Technical Journal. https://doi.org/10.1002/j.1538-7305.1970.tb01763.x

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.