The heterodyne signals for a complex heterodyne filter based upon M/2 equally-spaced heterodyne frequencies between DC and the Nyquist frequency can be generated from taking integer powers of the M th root of one. In Residue Number Systems (RNS) based on prime moduli of the form Mk+1, where k is an integer, the Mth root of one and its powers can be represented by integer values within the RNS. These M th -root Residue Number Systems (MRNS) are ideal for implementing complex heterodyne filters that allow for the tuning of digital filters between DC and the Nyquist frequency.Using MRNS exact arithmetic can be carried out on these complex signals with errors only occurring at the output when MRNS is converted to binary. The result is a tunable linear-phase filter that is convenient to implement and uses less hardware than conventional tunable filters.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.