Direct Digital Frequency Synthesizer Using Nonuniform Piecewise-Linear Approximation

This paper investigates a novel direct digital frequency synthesizer architecture, based on piecewise linear approximation with segments of nonuniform length. The new approach allows reducing the total number of segments with respect to the well-known uniform segmentation. In this way the size of th...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2011-10, Vol.58 (10), p.2409-2419
Main Authors: De Caro, Davide, Petra, N., Strollo, A. G. M.
Format: Article
Language:English
Subjects:
Approximation
Approximation methods
Architecture
DDFS
Digital
direct-digital frequency synthesizer
Frequency synthesizers
Hardware
Harmonic analysis
Mathematical analysis
Nonuniform
nonuniform segmentation
Piecewise linear approximation
polynomial interpolation
Polynomials
Read only memory
Segmentation
Segments
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Summary:This paper investigates a novel direct digital frequency synthesizer architecture, based on piecewise linear approximation with segments of nonuniform length. The new approach allows reducing the total number of segments with respect to the well-known uniform segmentation. In this way the size of the coefficient ROM is also reduced with beneficial effects in terms of speed and power. We show that the optimal nonuniform segmentation (that maximizes the spurious-free dynamic range for a given number of nonuniform segments) can be obtained as the solution of a mixed-integer linear programming problem. Three simple, suboptimal, nonuniform segmentation schemes (which lend themselves to efficient hardware implementation) are proposed in this paper. We present also several design examples and VLSI implementation results, which demonstrate the effectiveness of the developed technique.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2011.2123730