Frequency Hopping Sequences with Given Minimum Gap Based on M-Sequence

2011 ◽  
Vol 225-226 ◽  
pp. 47-50
Author(s):  
Ye Xu ◽  
Hong Yan
Keyword(s):  
Cross Correlation ◽  
Frequency Hopping ◽  
Simulation Experiments ◽  
Auto Correlation ◽  
M Sequence ◽  
Frequency Hopping Sequences ◽  
Correlation Properties

Based on optimal families of FH sequences derived from m-sequence over GF(p), a construction of families of FH sequences with given minimum gap is presented to overcome the shortcoming of dual sub-bands method. The Hamming auto-correlation and cross-correlation properties of the FH sequences are theoretically studied and simulation experiments are performed. Results show that the correlation properties of these FH sequences are acceptable.

scholarly journals New Orthogonal Small Set Kasami Code Sequence

2015 ◽  
Vol 14 (1) ◽  
Author(s):  
I Nyoman Pramaita ◽  
I G.A.G.K. Diafari ◽  
DNKP Negara ◽  
Agus Dharma
Keyword(s):  
Correlation Function ◽  
Cross Correlation ◽  
Code Sequence ◽  
Cross Correlation Function ◽  
Auto Correlation ◽  
M Sequence ◽  
Auto Correlation Function ◽  
Small Set

In this paper, the authors propose the design of a new orthogonal small set Kasami code sequence generated using combination of non-orthogonal m-sequence and small set Kasami code sequence. The authors demonstrate that the proposed code sequence has comparable auto-correlation function (ACF), cross- correlation function (CCF), peak cross-correlation values with that of the existing orthogonal small set Kasami code sequence. Though the proposed code sequence has less code sequence sets than that of the existing orthogonal small set Kasami code sequence, the proposed code sequence possesses one more numbers of members in each code sequence set. The members of the same code set of the proposed code sequence are orthogonal to each other.

Research on Time-Domain Correlation Technique Based on ZC Sequences in OFDM System

2014 ◽  
Vol 519-520 ◽  
pp. 500-503
Author(s):  
Chang Jiang Huang ◽  
Yu Hua ◽  
Yong Hui Hu ◽  
Yu Xiang
Keyword(s):  
Time Domain ◽  
Cross Correlation ◽  
Random Noise ◽  
Correlation Technique ◽  
Ofdm System ◽  
Auto Correlation ◽  
Modulation Signal ◽  
The Time Domain ◽  
Correlation Properties ◽  
Time Domain Correlation

OFDM modulation signal based on different Pseudo-random Noise sequences cant be discriminated in time domain in OFDM system. In order to resolve this problem, the time-domain sliding correlation technique based on ZC sequences is proposed, and the relations between the time-domain correlation properties and the length of the sequence are analyzed. On the basis of the analysis of the technique, the optimum scheme of time-domain sliding correlation is done by the aid of the comparison of the auto-correlation gain on the condition of limited symbol length and band-width. Simulation results in AWGN channel show that OFDM demodulation signal based on ZC sequences designed newly in this work has good auto-correlation and cross-correlation properties in time domain.

Simplified Bounds on FHSs Set and Its Strictly Optimal Construction

2020 ◽  
Vol 31 (04) ◽  
pp. 499-513
Author(s):  
Shanding Xu ◽  
Xiwang Cao ◽  
Jiafu Mi ◽  
Chunming Tang
Keyword(s):  
Multiple Access ◽  
Frequency Hopping ◽  
Direct Construction ◽  
Frequency Hopping Sequences ◽  
Correlation Window ◽  
Partial Hamming Correlation ◽  
Hamming Correlation ◽  
Correlation Properties ◽  
Optimal Construction

Frequency-hopping sequences (FHSs) with favorite partial Hamming correlation properties are intensively needed in many synchronization and multiple-access systems. Strictly optimal FHS sets are a kind of FHS sets which has optimal Hamming correlation for any correlation window. In this paper, firstly we present simplified representations of the generalized Lempel–Greenberger bound on the partial Hamming autocorrelation of an FHS and the generalized Peng-Fan bound on the partial Hamming correlation of an FHS set, respectively. Secondly, we propose a direct construction of strictly optimal FHS sets, which interprets the previous construction proposed by Cai, Zhou, Yang and Tang. By choosing appropriate parameters and bijections, we present more flexible constructions of strictly optimal FHS sets.

A Novel Method for Pulse Integration in Radar-Probing System

2012 ◽  
Vol 529 ◽  
pp. 23-28
Author(s):  
Ya Ming Xi ◽  
Rong Jiu Huang ◽  
Yan Jing Han ◽  
Qing Zhang
Keyword(s):  
Spread Spectrum ◽  
Cross Correlation ◽  
Pulse Sequence ◽  
Side Lobe ◽  
Bipolar Pulse ◽  
System A ◽  
Low Sidelobe ◽  
M Sequence ◽  
Novel Method ◽  
Correlation Properties

In this paper, a novel method for pulse integration in radar-probing system is proposed to yield a low sidelobe response. According to m-sequence widely used in spread spectrum communication system, a bipolar pulse sequence is designed in this paper. At the receiving end, the envelop-detected signal is processed by a corresponding algorithm which dilutes the range sidelobe influence much. Because of the good autocorrelation and cross-correlation properties, waveforms yield a low sidelobe response and major lobe to side lobe ratio can reach 30dB or more, which is easy to satisfy the practical requirements. Simulation results show the good performance of the proposed approach. Furthermore, the approach is compatible to the conventional radars and can also be applied to the upgrade of radar.

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