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Based on the established delay QoS provisioning framework, we formulate the nonconvex optimization problem which aims at maximizing the average energy efficiency of the sensor node in the WAHSN while meeting PU\u2019s statistical delay QoS requirement as well as satisfying sensor node\u2019s average transmission rate, average transmitting power, and peak transmitting power constraints. By employing the theories of<jats:italic>fractional programming<\/jats:italic>,<jats:italic>convex hull<\/jats:italic>, and<jats:italic>probabilistic transmission<\/jats:italic>, we convert the original fractional-structured nonconvex problem to the<jats:italic>additively structured parametric convex problem<\/jats:italic>and obtain the optimal power allocation strategy under the given parameter via Lagrangian method. Finally, we derive the optimal average energy efficiency and corresponding optimal power allocation scheme by employing the<jats:italic>Dinkelbach method<\/jats:italic>. Simulation results show that our derived optimal power allocation strategy can be dynamically adjusted based on PU\u2019s delay QoS requirement as well as the channel conditions. The impact of PU\u2019s delay QoS requirement on sensor node\u2019s energy efficiency is also illustrated.<\/jats:p>","DOI":"10.1155\/2016\/6545791","type":"journal-article","created":{"date-parts":[[2016,11,14]],"date-time":"2016-11-14T21:03:09Z","timestamp":1479157389000},"page":"1-13","source":"Crossref","is-referenced-by-count":0,"title":["Statistical Delay QoS Provisioning for Energy-Efficient Spectrum-Sharing Based Wireless Ad Hoc Sensor Networks"],"prefix":"10.1155","volume":"2016","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4593-2605","authenticated-orcid":true,"given":"Yichen","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Information and Communications Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China"},{"name":"Key Laboratory of Wireless Sensor Network & Communication, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 865 Changning Road, Shanghai 200050, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2422-2444","authenticated-orcid":true,"given":"Wenwen","family":"Xu","sequence":"additional","affiliation":[{"name":"Department of Information and Communications Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1109\/surv.2012.062612.00109"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/MNET.2007.4395108"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/s00779-015-0872-x"},{"year":"2007","key":"4"},{"issue":"12","key":"5","doi-asserted-by":"crossref","first-page":"2920","DOI":"10.1109\/JSAC.2015.2478720","volume":"33","year":"2015","journal-title":"IEEE Journal on Selected Areas in 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