FPGA resources for simple heterodyne filter

Veedu, B.M.; Azam, A.; Soderstrand, M.A.

doi:10.1109/acssc.2001.987710

Cited by 6 publications

(1 citation statement)

References 2 publications

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“…Recently the authors have introduced the concept of tunable heterodyne filters [15][16][17][18][19][20][21][22][23][24][25]. The most recent of these papers discuss the implementation of heterodyne filters that make use of a complex heterodyne signal to convert complicated fixed coefficient digital filters into tunable digital filters tunable by a single heterodyne frequency [25].…”

Section: Introductionmentioning

confidence: 99%

Residue Number System Implementations of Complex Heterodyne Tunable Filters

Soderstrand¹,

Cho²,

Johnson³

2005 IEEE International Symposium on Circuits and Systems

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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.

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