New Bounds on the Partial Hamming Correlation of Wide-Gap Frequency-Hopping Sequences with Frequency Shift
IEICE transactions on fundamentals of electronics, communications and computer sciences/IEICE transactions on fundamentals of electronics, communications and computer science（2023）
Abstract
In frequency hopping communication, time delay and Doppler shift incur interference. With the escalating upgrading of complicated interference, in this paper, the time-frequency two-dimensional (TFTD) partial Hamming correlation (PHC) properties of wide-gap frequency-hopping sequences (WGFHSs) with frequency shift are discussed. A bound on the maximum TFTD partial Hamming auto-correlation (PHAC) and two bounds on the maximum TFTD PHC of WGFHSs are got. Li-Fan-Yang bounds are the particular cases of new bounds for frequency shift is zero.
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Key words
frequency hopping sequences,wide-gap,time-frequency two-dimensional partial Hamming correlation,Doppler frequency shift,FHMA system
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