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Modified Nested Barker Codes for Ultra-Wideband Signal-Code Constructions.
Vadim A Nenashev1, Aleksandr R Bestugin1, Alexey V Rabin1
1Saint-Petersburg State University of Aerospace Instrumentation, 67, Bolshaya Morskaia Str., 190000 St. Petersburg, Russia.
Sensors (Basel, Switzerland)
|December 9, 2023
Summary
This study introduces novel modified Barker codes and signal constructions for ultra-wideband systems. These new codes offer improved autocorrelation properties, enhancing detection accuracy and positional precision.
Area of Science:
- Electrical Engineering and Computer Science
- Signal Processing and Communications
Background:
- Ultra-wideband (UWB) signal-code constructions are critical in diverse technological applications.
- Barker codes are fundamental in UWB, but their nested representations and optimization remain areas of interest.
Purpose of the Study:
- To analyze existing Barker codes and explore optimal nested representations.
- To synthesize new signal-code constructions using modified Barker codes with asymmetric alphabets.
- To establish unambiguous associations between nested code components and autocorrelation function lobes.
Main Methods:
- Development of new analytical expressions for modified nested codes.
- Synthesis of signal-code constructions based on nesting alternative modified Barker codes.
- Analysis of the normalized autocorrelation function for the proposed codes.
Main Results:
- Obtained modified nested codes and signal-code constructions with improved autocorrelation properties.
- Demonstrated the ability to determine binary asymmetrical components related to side lobes.
- Achieved lower side lobe levels compared to conventional Barker codes and their nested versions.
Conclusions:
- The novel analytical expressions and synthesized codes provide superior correlational features for UWB signals.
- The proposed modulated UWB signals enhance high-fidelity probabilistic and precise positional detection.
- These advancements are applicable for accurate range coordinate-based detection of physical bodies.
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