Article
Doppler tolerance, complementary code sets, and generalised Thue–Morse sequences
IET Radar, Sonar & Navigation
(2016)
Abstract
The authors generalise the construction of Doppler-tolerant Golay complementary waveforms by Pezeshki–Calderbank–Moran–Howard to complementary code sets having more than two codes, which they call Doppler-null codes. This is accomplished by exploiting number-theoretic results involving the sum-of-digits function and a generalisation to more than two symbols of the classical two-symbol Thue–Morse sequence. Two approaches are taken to establish higher-order nulls of the composite ambiguity function: one by rewriting it in terms of equal sums of powers (ESP) and the other by factoring it in product form to reveal a higher-order zero, analogous to spectral-null codes. They conclude by describing an application of minimal ESP sets to multiple-input–multiple-output radar.
Keywords
- sequences,
- MIMO radar,
- Golay codes,
- Doppler effect
Disciplines
Publication Date
December, 2016
DOI
10.1049/iet-rsn.2015.0569
Citation Information
Hieu D. Nguyen and Gregory Emmett Coxson. "Doppler tolerance, complementary code sets, and generalised Thue–Morse sequences" IET Radar, Sonar & Navigation Vol. 10 Iss. 9 (2016) p. 1603 - 1610 ISSN: 1751-8792 Available at: http://works.bepress.com/hieu-nguyen/1/