TY - GEN

T1 - On bandwidth of broadband wavefields observed over spatial regions

AU - Bashar, Farhana

AU - Abhayapala, Thushara D.

AU - Salehin, S. M.Akramus

N1 - Publisher Copyright:
© 2016 IEEE.

PY - 2016/3/14

Y1 - 2016/3/14

N2 - This paper presents a characteristic expression to determine the effective bandwidth of broadband wavefields observed over a source-free finite spherical region. To address this topic, for given constraints on size of the observation region and bandwidth, we characterize the observable wavefield using modal expansion of wave propagation in 3D. When signals are transmitted to a spatially constrained region, an infinite number of spatial modes are excited in the spatial region. Our analysis shows that though the effective bandwidth at the lower spatial modes is equal to the given frequency bandwidth, the effective bandwidth drops as mode index increases depending on the acceptable signal to noise ratio (SNR) at each spatial mode. Further, beyond a certain spatial mode, the effective bandwidth becomes zero. Thus, we can truncate the infinite representation to a finite number of spatial modes. In addition, the effective spatial modes represent the number of independent channels. In the context of broadband communications, these findings indicate that only a finite number of independent channels are available to carry information, each with an effective bandwidth.

AB - This paper presents a characteristic expression to determine the effective bandwidth of broadband wavefields observed over a source-free finite spherical region. To address this topic, for given constraints on size of the observation region and bandwidth, we characterize the observable wavefield using modal expansion of wave propagation in 3D. When signals are transmitted to a spatially constrained region, an infinite number of spatial modes are excited in the spatial region. Our analysis shows that though the effective bandwidth at the lower spatial modes is equal to the given frequency bandwidth, the effective bandwidth drops as mode index increases depending on the acceptable signal to noise ratio (SNR) at each spatial mode. Further, beyond a certain spatial mode, the effective bandwidth becomes zero. Thus, we can truncate the infinite representation to a finite number of spatial modes. In addition, the effective spatial modes represent the number of independent channels. In the context of broadband communications, these findings indicate that only a finite number of independent channels are available to carry information, each with an effective bandwidth.

KW - Broadband communications

KW - effective bandwidth

KW - spatial sampling

KW - spherical harmonics decomposition

UR - http://www.scopus.com/inward/record.url?scp=84965078950&partnerID=8YFLogxK

U2 - 10.1109/AusCTW.2016.7433607

DO - 10.1109/AusCTW.2016.7433607

M3 - Conference contribution

T3 - 2016 Australian Communications Theory Workshop, AusCTW 2016

SP - 41

EP - 46

BT - 2016 Australian Communications Theory Workshop, AusCTW 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - Australian Communications Theory Workshop, AusCTW 2016

Y2 - 20 January 2016 through 23 January 2016

ER -