Effect of bandwidth in cross-correlation based underwater network size estimation

Abstract

Due to the harshness of underwater environment, size estimation of underwater network is difficult using conventional protocol techniques. A statistical signal processing approach of size estimation is proposed for this purpose using cross-correlation of Gaussian signals, which is effective for any environment networks. Limited bandwidth of underwater communications channel poses constraint on using Gaussian signal, which has infinite bandwidth. The aim of this paper is to investigate the effect of this limited bandwidth in crosscorrelation based underwater network size estimation using Gaussian signals with finite bandwidth.Index Terms-Cross-correlation function (CCF); effect of bandwidth; size estimation; underwater acoustic channels; underwater wireless communication network (UWCN).

Cross-correlation based approach for counting nodes of undersea communications network considering limited bandwidth

“…For 10kHz BW, estimation parameters for two-sensor case and SL case can be expressed from [39] and [40] as:…”

“…Initially, these techniques use CC of infinite bandwidth Gaussian signals, with further research [39], [40] investigating band-limited (10kHz and 5kHz) Gaussian signals. Scaling factors (SF) for 5kHz and 10kHz bandwidths are derived in [39], [40] for efficient estimation in these limited bandwidth conditions.…”

“…Initially, these techniques use CC of infinite bandwidth Gaussian signals, with further research [39], [40] investigating band-limited (10kHz and 5kHz) Gaussian signals. Scaling factors (SF) for 5kHz and 10kHz bandwidths are derived in [39], [40] for efficient estimation in these limited bandwidth conditions. This paper derives scaling factors for the entire underwater bandwidth, considering the finite bandwidth of UAC with two and three sensors to establish a relationship between SF and bandwidth.…”