TY - GEN
T1 - A recursive approach to compute bit error rate in underwater channels with multiple paths
AU - Chen, C.
AU - Abdi, A.
PY - 2012
Y1 - 2012
N2 - In underwater acoustic channels, signal is transmitted over several distinct paths, eigenpaths, from transmitter to receiver due to reflections at sea boundaries, where each eigenpath contains a dominant specular component and a number of scattered components. As a result, an underwater acoustic channel response is the superposition of several dominant specular components and numerous scattered components. Bit error rate (BER) in multipath fading channels has been extensively studied in the past. However, limited research has been conducted on fading channels with several dominant specular components. In this paper, BER in multipath channels with several specular components is studied. A new formula to compute the BER recursively and efficiently is derived. Then using Jensen's inequality, one specular component, Rice fading, is shown to provide the lowest possible BER. Upon using the new BER formula and Lagrange multipliers to solve a constrained optimization problem, it is further shown that for two dominant specular components, BER achieves its maximum when the two components are equally weighted. More results on BER for three and four specular paths are also presented. The results shed light on the impact of the number of specular paths on BER, as well as the maximum and minimum values of BER, which are of interest in underwater communication systems.
AB - In underwater acoustic channels, signal is transmitted over several distinct paths, eigenpaths, from transmitter to receiver due to reflections at sea boundaries, where each eigenpath contains a dominant specular component and a number of scattered components. As a result, an underwater acoustic channel response is the superposition of several dominant specular components and numerous scattered components. Bit error rate (BER) in multipath fading channels has been extensively studied in the past. However, limited research has been conducted on fading channels with several dominant specular components. In this paper, BER in multipath channels with several specular components is studied. A new formula to compute the BER recursively and efficiently is derived. Then using Jensen's inequality, one specular component, Rice fading, is shown to provide the lowest possible BER. Upon using the new BER formula and Lagrange multipliers to solve a constrained optimization problem, it is further shown that for two dominant specular components, BER achieves its maximum when the two components are equally weighted. More results on BER for three and four specular paths are also presented. The results shed light on the impact of the number of specular paths on BER, as well as the maximum and minimum values of BER, which are of interest in underwater communication systems.
KW - Bit error rate
KW - acoustic communication
KW - constrained optimization
KW - multipath fading channels
KW - underwater channels
KW - wireless propagation
UR - http://www.scopus.com/inward/record.url?scp=84873572870&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84873572870&partnerID=8YFLogxK
U2 - 10.1109/OCEANS.2012.6404940
DO - 10.1109/OCEANS.2012.6404940
M3 - Conference contribution
AN - SCOPUS:84873572870
SN - 9781467308298
T3 - OCEANS 2012 MTS/IEEE: Harnessing the Power of the Ocean
BT - OCEANS 2012 MTS/IEEE
T2 - OCEANS 2012 MTS/IEEE Hampton Roads Conference: Harnessing the Power of the Ocean
Y2 - 14 October 2012 through 19 October 2012
ER -