{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:14:42Z","timestamp":1760242482222,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2017,8,2]],"date-time":"2017-08-02T00:00:00Z","timestamp":1501632000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In cognitive radio networks (CRNs), spectrum sensing is critical for guaranteeing that the opportunistic spectrum access by secondary users (SUs) will not interrupt legitimate primary users (PUs). The application of full-duplex radio to spectrum sensing enables SU to carry out sensing and transmission simultaneously, improving both spectrum awareness and CRN throughput. However, the issue of spectrum sensing with full-duplex radios deployed in heterogeneous environments, where SUs may observe different spectrum activities, has not been addressed. In this paper, we give a first look into this problem and develop a light-weight cooperative sensing framework called PaCoSIF, which involves only a pairwise SU transmitter (SU-Tx) and its receiver (SU-Rx) in cooperation. A dedicated control channel is not required for pairwise cooperative sensing with instantaneous feedback (PaCoSIF) because sensing results are collected and fused via the reverse channel provided by full-duplex radios. We present a detailed protocol description to illustrate how PaCoSIF works. However, it is a challenge to optimize the sensing performance of PaCoSIF since the two sensors suffer from spectrum heterogeneity and different kinds of interference. Our goal is to minimize the false alarm rate of PaCoSIF given the bound on the missed detection rate by adaptively adjusting the detection threshold of each sensor. We derive an expression for the optimal threshold using the Lagrange method and propose a fast binary-searching algorithm to solve it numerically. Simulations show that, with perfect signal-to-interference-and-noise-ratio (SINR) information, PaCoSIF could decrease the false alarm rate and boost CRN throughput significantly against conventional cooperative sensing when SUs are deployed in spectrum-heterogeneous environments. Finally, the impact of SINR error upon the performance of PaCoSIF is evaluated via extensive simulations.<\/jats:p>","DOI":"10.3390\/s17081773","type":"journal-article","created":{"date-parts":[[2017,8,2]],"date-time":"2017-08-02T10:05:25Z","timestamp":1501668325000},"page":"1773","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Full-Duplex Cooperative Sensing for Spectrum-Heterogeneous Cognitive Radio Networks"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8694-7091","authenticated-orcid":false,"given":"Peng","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Network Engineering, P. L. A. Army Engineering University, Nangjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wangdong","family":"Qi","sequence":"additional","affiliation":[{"name":"Department of Network Engineering, P. L. A. Army Engineering University, Nangjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"En","family":"Yuan","sequence":"additional","affiliation":[{"name":"Department of Network Engineering, P. L. A. Army Engineering University, Nangjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Wei","sequence":"additional","affiliation":[{"name":"Department of Network Engineering, P. L. A. Army Engineering University, Nangjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuexin","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Network Engineering, P. L. A. Army Engineering University, Nangjing 210007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,8,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1109\/98.788210","article-title":"Cognitive Radio: Making Software Radios More Personal","volume":"6","author":"Mitola","year":"1999","journal-title":"IEEE Pers. Commun."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1326","DOI":"10.1109\/TWC.2008.060869","article-title":"Sensing-Throughput Tradeoff for Cognitive Radio Networks","volume":"7","author":"Liang","year":"2008","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Stotas, S., and Nallanathan, A. (2010, January 23\u201327). Overcoming the Sensing-Throughput Tradeoff in Cognitive Radio Networks. Proceedings of the IEEE International Conference on Communications (ICC), Cape Town, South Africa.","DOI":"10.1109\/ICC.2010.5502792"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Bogale, T.E., Vandendorpe, L., and Le, L.B. (2014, January 2\u20134). Sensing Throughput Tradeoff for Cognitive Radio Networks with Noise Variance Uncertainty. Proceedings of the 9th IEEE International Conference on Cognitive Radio Oriented Wireless Networks and Communications (CROWNCOM), Oulu, Finland.","DOI":"10.4108\/icst.crowncom.2014.255811"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1109\/LCOMM.2015.2393305","article-title":"Sensing-Throughput Tradeoff in Cognitive Radio with Random Arrivals and Departures of Multiple Primary Users","volume":"19","author":"Pradhan","year":"2015","journal-title":"IEEE Commun. Lett."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3690","DOI":"10.1109\/TWC.2016.2525986","article-title":"Sensing-Throughput Tradeoff for Interweave Cognitive Radio System: A Deployment-Centric Viewpoint","volume":"15","author":"Kaushik","year":"2016","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Bharadia, D., McMilin, E., and Katti, S. (2013, January 12\u201316). Full Duplex Radios. Proceedings of the ACM SIGCOMM, Hong Kong, China.","DOI":"10.1145\/2486001.2486033"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.1109\/TAP.2013.2280051","article-title":"Concurrent Communication and Sensing in Cognitive Radio Devices: Challenges and an Enabling Solution","volume":"62","author":"Tsakalaki","year":"2014","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Afifi, W., and Krunz, M. (2013, January 14\u201319). Exploiting Self-Interference Suppression for Improved Spectrum Awareness\/Efficiency in Cognitive Radio Systems. Proceedings of the IEEE INFOCOM, Turin, Italy.","DOI":"10.1109\/INFCOM.2013.6566918"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Liao, Y., Wang, T., Song, L., and Han, Z. (2014, January 8\u201312). Listen-and-talk: Full-duplex Cognitive Radio Networks. Proceedings of the IEEE Global Communications Conference (GLOBECOM), Austin, TX, USA.","DOI":"10.1109\/GLOCOM.2014.7037276"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Afifi, W., and Krunz, M. (2014, January 1\u20134). Adaptive Transmission-reception-sensing Strategy for Cognitive Radios with Full-duplex Capabilities. Proceedings of the 2014 IEEE International Symposium on Dynamic Spectrum Access Networks (DYSPAN), McLean, VA, USA.","DOI":"10.1109\/DySPAN.2014.6817792"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2180","DOI":"10.1109\/TWC.2014.2382124","article-title":"Incorporating Self-interference Suppression for Full-duplex Operation in Opportunistic Spectrum Access Systems","volume":"14","author":"Afifi","year":"2015","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_13","unstructured":"Cheng, W., Zhang, X., and Zhang, H. (2011, January 7\u201310). Full Duplex Spectrum Sensing in Non-time-slotted Cognitive Radio Networks. Proceedings of the IEEE Military Communications Conference (MilCOM), Baltimore, MD, USA."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"820","DOI":"10.1109\/JSAC.2014.2361078","article-title":"Full-Duplex Spectrum-Sensing and MAC-Protocol for Multichannel Nontime-slotted Cognitive Radio Networks","volume":"33","author":"Cheng","year":"2015","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_15","unstructured":"Yang, J., Zhu, Y., Ahmad, I., Gao, M., Zhang, Y., Feng, Z., and Zhang, Y. (2014, January 14\u201317). Full-duplex Spectrum Sensing Scheme Based on Phase Difference. Proceedings of the IEEE Vehicular Technology Conference (VTC Fall), Vancouver, BC, Canada."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Ahmed, E., Eltawil, A., and Sabharwal, A. (2012, January 8\u201314). Simultaneous Transmit and Sense for Cognitive Radios using Full-duplex: A First Study. Proceedings of the IEEE International Symposium on Antennas and Propagation Society (APSURSI), Chicago, IL, USA.","DOI":"10.1109\/APS.2012.6348493"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Liao, Y., Wang, T., Song, L.Y., and Jiao, B. (2014, January 19\u201321). Cooperative Spectrum Sensing for Full-Duplex Cognitive Radio Networks. Proceedings of the IEEE International Conference on Communication Systems (ICCS), Macau, China.","DOI":"10.1109\/ICCS.2014.7024765"},{"key":"ref_18","unstructured":"Shi, L.X., Bahl, P., and Katabi, D. (2015, January 4\u20136). Beyond Sensing: Multi-GHz Realtime Spectrum Analytics. Proceedings of the 12th USENIX NSDI, Oakland, CA, USA."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1109\/TWC.2012.122212.111638","article-title":"Spatial-temporal Opportunity Detection for Spectrum-heterogeneous Cognitive Radio Networks: Two-dimensional Sensing","volume":"12","author":"Wu","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Li, H. (2010, January 18\u201321). Cooperative Spectrum Sensing via Belief Propagation in Spectrum-heterogeneous Cognitive Radio Systems. Proceedings of the IEEE Conference on Wireless Communications and Networking (WCNC), Sydney, Australia.","DOI":"10.1109\/WCNC.2010.5506422"},{"key":"ref_21","unstructured":"Tu, Y., and Chen, K. (2009). General Spectrum Sensing in Cognitive Radio Networks. arXiv."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Mishra, S.M., Sahai, A., and Brodersen, R.W. (2006, January 11\u201315). Cooperative Sensing among Cognitive Radios. Proceedings of the IEEE International Conference on Communications (ICC), Istanbul, Turkey.","DOI":"10.1109\/ICC.2006.254957"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.phycom.2010.12.003","article-title":"Cooperative Spectrum Sensing in Cognitive Radio Networks: A Survey","volume":"4","author":"Akyildiz","year":"2011","journal-title":"Elsevier Phys. Commun."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1766","DOI":"10.1109\/TMC.2010.169","article-title":"In-Band Spectrum Sensing in IEEE 802.22 WRANs for Incumbent Protection","volume":"9","author":"Kim","year":"2010","journal-title":"IEEE Trans. Mob. Comput."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Peh, E., and Liang, Y. (2007, January 11\u201315). Optimization for Cooperative Sensing in Cognitive Radio Networks. Proceedings of the IEEE Conference on Wireless Communications and Networking (WCNC), Hongkong, China.","DOI":"10.1109\/WCNC.2007.11"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"5761","DOI":"10.1109\/TWC.2009.12.081710","article-title":"Optimization of Cooperative Spectrum Sensing with Energy Detection in Cognitive Radio Networks","volume":"8","author":"Zhang","year":"2009","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1109\/7.42092","article-title":"Optimal Distributed Decision Fusion","volume":"66","author":"Thomopoulos","year":"1989","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0020-0255(92)90089-Q","article-title":"Distributed Decision Fusion in the Presence of Networking Delays and Channel Errors","volume":"66","author":"Thomopoulos","year":"1992","journal-title":"Inf. Sci."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1109\/5.554208","article-title":"Distributed Detection with Multiple Sensors, Part I. Fundamentals","volume":"85","author":"Viswanathan","year":"1997","journal-title":"Proc. IEEE"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"3454","DOI":"10.1109\/TSP.2004.837404","article-title":"Channel Aware Decision Fusion In Wireless Sensor Networks","volume":"52","author":"Chen","year":"2004","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_31","unstructured":"Liu, K., and Sayeed, A.M. (October, January 29). Optimal Distributed Detection Strategies for Wireless Sensor Networks. Proceedings of the 42nd Annual Allerton Conference on Communication Control and Computing, Monticello, IL, USA."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1155\/2010\/381465","article-title":"A review on Spectrum Sensing for Cognitive Radio: Challenges and Solutions","volume":"2010","author":"Zeng","year":"2010","journal-title":"EURASIP J. Adv. Signal Process."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1109\/TNET.2011.2174461","article-title":"CSMA\/CN: Carrier Sense Multiple Access with Collision Notification","volume":"20","author":"Sen","year":"2012","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"2690","DOI":"10.1109\/TSP.2009.2019176","article-title":"Autocorrelation-Based Decentralized Sequential Detection of OFDM Signals in Cognitive Radios","volume":"57","author":"Chaudhari","year":"2009","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"732","DOI":"10.1109\/TVT.2015.2401332","article-title":"Performance of an Improved Energy Detector in Multihop Cognitive Radio Networks","volume":"65","author":"Singh","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1109\/TIT.1961.1057642","article-title":"Detection Theory","volume":"7","author":"Price","year":"1961","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_37","unstructured":"Poor, H.V. (2013). An Introduction to Signal Detection and Estimation, Springer Science Business Media."},{"key":"ref_38","unstructured":"Tandra, R., and Sahai, A. (2005, January 13\u201316). Fundamental Limits on Detection in Low SNR under Noise Uncertainty. Proceedings of the IEEE International Conference on Wireless Networks, Communications and Mobile Computing, Maui, HI, USA."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/8\/1773\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:44:56Z","timestamp":1760208296000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/8\/1773"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,2]]},"references-count":38,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2017,8]]}},"alternative-id":["s17081773"],"URL":"https:\/\/doi.org\/10.3390\/s17081773","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2017,8,2]]}}}