A new technique for the design of binary sequences with specified correlation
Abstract
Binary sequences (elements +1 or -1) are of considerable interest in radar and other applications. The present paper is concerned with the zero-Doppler performance of a binary-phase-modulated pulse radar which is determined by the discrete autocorrelation of the corresponding binary sequence. Starting with the concept of run length, a new method is proposed for the computation of the discrete autocorrelation of binary sequences. This method is more than four times faster than the standard technique. Furthermore, it gives powerful insights into the structural properties of binary sequences which can be used for the synthesis of binary sequences having specified correlation properties. As an example, all the binary sequences of length 17 which have side-lobes less than 1 up to lag 7 have been obtained.
- Publication:
-
SOUTHEASTCON 1981; Proceedings of the Region 3 Conference and Exhibit
- Pub Date:
- 1981
- Bibcode:
- 1981ieee.conf..164P
- Keywords:
-
- Binary Codes;
- Design Analysis;
- Phase Modulation;
- Pulse Radar;
- Sequential Analysis;
- Autocorrelation;
- Discrete Functions;
- Radar Resolution;
- Signal Reflection;
- Communications and Radar