Single-Bit Digital Frequency Synthesis via Dithered Nyquist-Rate Sinewave Quantization

Author

Sotiriadis, Paul P. ; Miliou, Natalia

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens, Zografou, Greece

Volume

61

Issue

1

fYear

2014

fDate

Jan. 2014

Firstpage

61

Lastpage

73

Abstract

Single-Bit Nyquist-rate quantization of sinewaves with random dithering is studied as a means for all-digital frequency synthesis. Quantizer´s output spectrum is analytically derived and related to the cumulative distribution function of the random dither formed by independent and identically distributed random variables. Necessary and sufficient conditions for spurs-free output are derived. The noise floor level due to random dithering is derived analytically and the output dynamic range is defined. The trade-off between selective frequency-spurs presence and dynamic range improvement is studied. Several MATLAB examples illustrate the theory and its applications.

Keywords

frequency synthesizers; random processes; all-digital frequency synthesis; cumulative distribution function; distributed random variable; dithered Nyquist-rate sinewave quantization; dynamic range improvement; noise floor level; random dithering; selective frequency-spurs; single-bit digital frequency synthesis; spurs-free output; Chebyshev approximation; Correlation; Equations; Frequency synthesizers; Harmonic analysis; Quantization (signal); Random variables; Clock generation; digital-to-analog converter; digital-to-frequency converter; direct digital synthesis; frequency spurs; quantization;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2013.2268297

Filename

6601730