Abstract
In frequency-hopping systems, there should be a wide frequency-hopping gap between two adjacent frequencies in case the received signals are prone to be interfered by staying at one frequency point for a long time. In this paper, a bound on the maximum partial Hamming autocorrelation of wide-gap frequency-hopping sequences (WGFHSs), two bounds on the maximum partial Hamming correlation of WGFHS sets, two bounds on the maximum Hamming correlation of WGFHS sets with low hit zone and two bounds on the maximum partial Hamming correlation of WGFHS sets with low hit zone are derived. Moreover, the proposed bounds are tighter than the Eun-Jin-Hong-Song bound, Zhou-Tang-Niu-Udaya bounds, Peng-Fan-Lee bounds and Niu-Peng-Liu bounds in the sense that they can be achieved by the parameters of some WGFHSs. To the best of our knowledge, these bounds are obtained for the first time in the literature.
Highlights
Frequency-hopping (FH) communication, as one of the common spread spectrum communication [10] methods, has been widely used in CDMA communication system, smart grid, bluetooth, ultra-wide band (UWB) communication, radar system and so on
We often select a part of frequencyhopping sequences (FHSs), that is, select a correlation window to calculate the value of its Hamming correlation function
For certain application scenarios where adjacent frequency gap is required to be greater than a specified value, the low hit zone of widegap frequency-hopping sequences (WGFHSs) with good partial Hamming correlation properties are very important. This is a new research direction combining the low hit zone WGFHSs with partial Hamming correlation which can be used as one of the future research focuses in FH communication field
Summary
Frequency-hopping (FH) communication, as one of the common spread spectrum communication [10] methods, has been widely used in CDMA communication system, smart grid, bluetooth, ultra-wide band (UWB) communication, radar system (please refer to [11]–[16] for more details) and so on. In QS-FH-CDMA communication system, the received signals between the receiving end users exist a certain relative delay, as long as the relative delay does not exceed a fixed value, there will be no collisions in their frequency slot On this basis, in 2003, the concept of frequency-hopping sequence with low hit zone (LHZ-FHS) was first proposed by Ye and Fan [17]. For certain application scenarios where adjacent frequency gap is required to be greater than a specified value, the low hit zone of WGFHSs with good partial Hamming correlation properties are very important. This is a new research direction combining the low hit zone WGFHSs with partial Hamming correlation which can be used as one of the future research focuses in FH communication field.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
