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Optimal Binary Signaling for a Two Sensor Gaussian MAC Network (2402.04424v2)
Published 6 Feb 2024 in cs.IT and math.IT
Abstract: We consider a two sensor distributed detection system transmitting a binary non-uniform source over a Gaussian multiple access channel (MAC). We model the network via binary sensors whose outputs are generated by binary symmetric channels of different noise levels. We prove an optimal one dimensional constellation design under individual sensor power constraints which minimizes the error probability of detecting the source. Three distinct cases arise for this optimization based on the parameters in the problem setup. In the most notable case (Case III), the optimal signaling design is to not necessarily use all of the power allocated to the more noisy sensor (with less correlation to the source). We compare the error performance of the optimal one dimensional constellation to orthogonal signaling. The results show that the optimal one dimensional constellation achieves lower error probability than using orthogonal channels.
- W. Li and H. Dai, “Distributed detection in wireless sensor networks using a multiple access channel,” IEEE Transactions on Signal Processing, vol. 55, no. 3, pp. 822–833, 2007.
- X. Guo, Y. He, S. Atapattu, S. Dey, and J. S. Evans, “Power allocation for distributed detection systems in wireless sensor networks with limited fusion center feedback,” IEEE Transactions on Communications, vol. 66, no. 10, pp. 4753–4766, 2018.
- H. Jeffreys, “An invariant form for the prior probability in estimation problems,” Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, vol. 186, no. 1007, pp. 453–461, 1946.
- C. Tepedelenlioglu and S. Dasarathan, “Distributed detection over gaussian multiple access channels with constant modulus signaling,” IEEE Transactions on Signal Processing, vol. 59, no. 6, pp. 2875–2886, 2011.
- S. Dasarathan and C. Tepedelenlioglu, “Distributed estimation and detection with bounded transmissions over gaussian multiple access channels,” IEEE Transactions on Signal Processing, vol. 62, no. 13, pp. 3454–3463, 2014.
- G. Ferrari, M. Martalò, and A. Abrardo, “Information fusion in wireless sensor networks with source correlation,” Information Fusion, vol. 15, pp. 80–89, 2014.
- S. R. Panigrahi, N. Björsell, and M. Bengtsson, “Data fusion in the air with non-identical wireless sensors,” IEEE Transactions on Signal and Information Processing over Networks, vol. 5, no. 4, pp. 646–656, 2019.
- R. Jiang and B. Chen, “Fusion of censored decisions in wireless sensor networks,” IEEE Transactions on Wireless Communications, vol. 4, pp. 2668–2673, 2005.
- J.-J. Weng, F. Alajaji, and T. Linder, “Optimized signaling of binary correlated sources over Gaussian multiple access channels,” in Proc. IEEE 88th Veh. Techn. Conf. (VTC-Fall), 2018, pp. 1–5.
- C.-H. Lin, S.-L. Shieh, T.-C. Chi, and P.-N. Chen, “Optimal inter-constellation rotation based on minimum distance criterion for uplink NOMA,” IEEE Transactions on Vehicular Technology, vol. 68, no. 1, pp. 525–539, 2019.
- H.-P. Liu, S.-L. Shieh, C.-H. Lin, and P.-N. Chen, “A minimum distance criterion based constellation design for uplink NOMA,” in Proc. IEEE 90th Vehicular Technology Conference (VTC2019-Fall), 2019, pp. 1–5.
- K.-H. Ngo, S. Yang, M. Guillaud, and A. Decurninge, “Joint constellation design for noncoherent mimo multiple-access channels,” IEEE Transactions on Information Theory, vol. 68, no. 11, pp. 7281–7305, 2022.
- B. K. Ng and C.-T. Lam, “Joint power and modulation optimization in two-user non-orthogonal multiple access channels: A minimum error probability approach,” IEEE Transactions on Vehicular Technology, vol. 67, no. 11, pp. 10 693–10 703, 2018.
- G. Takahara, F. Alajaji, N. Beaulieu, and H. Kuai, “Constellation mappings for two-dimensional signaling of nonuniform sources,” IEEE Transactions on Communications, vol. 51, no. 3, pp. 400–408, 2003.
- B. Moore, G. Takahara, and F. Alajaji, “Pairwise optimization of modulation constellations for non-uniform sources,” Canadian Journal of Electrical and Computer Engineering, vol. 34, no. 4, pp. 167–177, 2009.
- S. Vlajkov, A. Jovanović, and Z. Perić, “Approach in companding-quantisation-inspired PAM constellation design,” IET Communications, vol. 12, no. 18, pp. 2305–2314, 2018.
- L. Wei, “Optimized M𝑀Mitalic_M-ary orthogonal and bi-orthogonal signaling using coherent receiver with non-equal symbol probabilities,” IEEE Communications Letters, vol. 16, no. 6, pp. 793–796, 2012.
- G. J. Jameson, “Counting zeros of generalised polynomials: Descartes’ rule of signs and Laguerre’s extensions,” The Mathematical Gazette, vol. 90, no. 518, pp. 223–234, 2006.
- S. Yi, J. Heo, Y. Cho, and J. Hong, “Peach: Power-efficient and adaptive clustering hierarchy protocol for wireless sensor networks,” Computer Communications, vol. 30, no. 14, pp. 2842–2852, 2007.
- E. Pei, J. Pei, S. Liu, W. Cheng, Y. Li, and Z. Zhang, “A heterogeneous nodes-based low energy adaptive clustering hierarchy in cognitive radio sensor network,” IEEE Access, vol. 7, pp. 132 010–132 026, 2019.
- G. Chen, F. Nocetti, J. Gonzalez, and I. Stojmenovic, “Connectivity based k-hop clustering in wireless networks,” in Proc. 35th Annual Hawaii International Conference on System Sciences, 2002, pp. 2450–2459.
- A. Bendjeddou, H. Laoufi, and S. Boudjit, “Leach-s: Low energy adaptive clustering hierarchy for sensor network,” in Proc. International Symposium on Networks, Computers and Communications (ISNCC), 2018, pp. 1–6.