Optimal linear MMSE design for passive distributed radar sensor network systems

In this paper we present optimal power allocation, together with optimal linear signal fusion, considering a passive distributed radar sensor network system. The goal of a passive distributed radar is to obtain a reliable estimation from a source signal, by collecting and combining the individual observations from the network of sensor nodes (SN)s in a fusion center (FC). In this respect, a linear minimum-mean-square-error (MMSE) optimization strategy is considered, where optimal linear operation at the SNs as well as the FC are obtained analytically. The obtained solutions are then analytically and numerically compared to the previously studied unbiased linear MMSE (ULMMSE) approach. It is observed that both schemes share the same strategy for the optimal power allocation among the SNs, but differ in the corresponding linear fusion. As expected, the proposed approach reaches a lower estimation MSE compared to the ULMMSE one.

[1]  Rudolf Mathar,et al.  Partial distributed beamforming design in passive radar sensor networks , 2016, 2016 IEEE International Conference on Wireless for Space and Extreme Environments (WiSEE).

[2]  Rudolf Mathar,et al.  Complexity-reduced optimal power allocation in passive distributed radar systems , 2014, 2014 11th International Symposium on Wireless Communications Systems (ISWCS).

[3]  Rudolf Mathar,et al.  Lifetime and power consumption optimization for distributed passive radar systems , 2016, 2016 IEEE International Conference on Wireless for Space and Extreme Environments (WiSEE).

[4]  Rasha Abbasi,et al.  ICECUBE NEUTRINO OBSERVATORY , 2010 .

[5]  Rudolf Mathar,et al.  Comparing Several Power Allocation Strategies for Sensor Networks , 2016, WSA.

[6]  Rudolf Mathar,et al.  Optimal energy efficient design for passive distributed radar systems , 2015, 2015 IEEE International Conference on Communications (ICC).

[7]  Rudolf Mathar,et al.  Lifetime and power consumption analysis of sensor networks , 2015, 2015 IEEE International Conference on Wireless for Space and Extreme Environments (WiSEE).

[8]  Rudolf Mathar,et al.  Power allocation for distributed passive radar systems with occasional node failure , 2015, 2015 IEEE International Conference on Wireless for Space and Extreme Environments (WiSEE).

[9]  Rudolf Mathar,et al.  Power allocation for multi-target multi-fusion-rule sensor networks , 2016, 2016 IEEE International Conference on Wireless for Space and Extreme Environments (WiSEE).

[10]  H. Vincent Poor,et al.  Power Allocation Strategies for Target Localization in Distributed Multiple-Radar Architectures , 2011, IEEE Transactions on Signal Processing.

[11]  Rudolf Mathar,et al.  Optimum Power Allocation in Sensor Networks for Passive Radar Applications , 2014, IEEE Transactions on Wireless Communications.

[12]  W. Wirtinger.  Zur formalen Theorie der Funktionen von mehr komplexen Veränderlichen , 1927 .

[13]  Andrea J. Goldsmith,et al.  Estimation Diversity and Energy Efficiency in Distributed Sensing , 2007, IEEE Transactions on Signal Processing.

[14]  Rudolf Mathar,et al.  Widely-linear processing for distributed passive radar systems with strictly non-circular sources , 2016, 2016 International Symposium on Wireless Communication Systems (ISWCS).

[15]  Are Hjørungnes,et al.  Complex-Valued Matrix Differentiation: Techniques and Key Results , 2007, IEEE Transactions on Signal Processing.

[16]  Moe Z. Win,et al.  Distributed Power Allocation for Cooperative Wireless Network Localization , 2015, IEEE Journal on Selected Areas in Communications.

[17]  C. J. Baker,et al.  Netted radar sensing , 2005 .

[18]  U. Madhow,et al.  Distributed beamforming for information transfer in sensor networks , 2004, Third International Symposium on Information Processing in Sensor Networks, 2004. IPSN 2004.

[19]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[20]  Rudolf Mathar,et al.  Optimum Power Allocation With Sensitivity Analysis for Passive Radar Applications , 2014, IEEE Sensors Journal.

[21]  Bin Sun,et al.  Cooperative Game Approach to Power Allocation for Target Tracking in Distributed MIMO Radar Sensor Networks , 2015, IEEE Sensors Journal.