Multi-rate bandpass filter bank implemented in QRNS complex arithmetic using parallel multiple DSP chips or ASICs

Soderstrand, M.A.; Chu, Dong; Chan, Wen-Hsin; Lazkani, M.; Loomis, H.H.

doi:10.1109/acssc.1993.342632

Cited by 2 publications

(3 citation statements)

References 14 publications

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“…The implementation of the FIR filters in RNS has been covered in earlier papers [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Here we will concentrate on the implementation of the complex heterodyne signal that is required to make the FIR filter tunable [25].…”

Section: Implementation Of the Complex Heterodyne Filter In Mrnsmentioning

confidence: 99%

“…Then u(n) is heterodyned at the negative double frequency (i.e. : multiplied by (13,32), the sixth power of the 8 th root of one) to generate the signal v(n). Then v(n) is filtered by the same FIR filter H(z) to produce w(n).…”

Section: Implementation Of the Complex Heterodyne Filter In Mrnsmentioning

confidence: 99%

“…RNS arithmetic, however, also provides some special features for complex arithmetic (i.e. : arithmetic involving real and imaginary numbers) that have been taken advantage of for the implementation of some very sophisticated systems [6][7][8][9][10] including adaptive filters [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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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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