TY - JOUR
T1 - Entropy and energy detection-based spectrum sensing over F-composite fading channels
AU - Yoo, Seong Ki
AU - Sofotasios, Paschalis C.
AU - Cotton, Simon L.
AU - Muhaidat, Sami
AU - Badarneh, Osamah S.
AU - Karagiannidis, George K.
N1 - Funding Information:
Manuscript received July 14, 2018; revised December 5, 2018 and February 13, 2019; accepted February 14, 2019. Date of publication February 21, 2019; date of current version July 13, 2019. This work was supported in part by the U.K. Engineering and Physical Sciences Research Council under Grant No. EP/L026074/1 and the Department for the Economy Northern Ireland through Grant No. USI080 and by Khalifa University under Grant No. KU/RC1-C2PS-T2/8474000137 and Grant No. KU/FSU-8474000122. This paper was presented in part at the IEEE GLOBECOM 2018, Abu Dhabi, UAE. The associate editor coordinating the review of this paper and approving it for publication was A. S. Cacciapuoti. (Corresponding author: Seong Ki Yoo.) S. K. Yoo and S. L. Cotton are with the Centre for Wireless Innovation, ECIT Institute, Queen’s University Belfast, Belfast BT3 9DT, U.K. (e-mail: [email protected]; [email protected]).
Publisher Copyright:
© 2019 IEEE.
PY - 2019/7
Y1 - 2019/7
N2 - In this paper, we investigate the performance of energy detection-based spectrum sensing over F composite fading channels. To this end, an analytical expression for the average detection probability is first derived. This expression is then extended to account for collaborative spectrum sensing, square-law selection diversity reception, and noise power uncertainty. The corresponding receiver operating characteristics (ROC) are analyzed for different conditions of the average signal-to-noise ratio (SNR), noise power uncertainty, time-bandwidth product, multipath fading, shadowing, number of diversity branches, and number of collaborating users. It is shown that the energy detection performance is sensitive to the severity of the multipath fading and the amount of shadowing, whereby even small variations in either of these physical phenomena can significantly impact the detection probability. As a figure of merit to evaluate the detection performance, the area under the ROC curve (AUC) is derived and evaluated for different multipath fading and shadowing conditions. Closed-form expressions for the differential entropy and cross entropy are also formulated and assessed for different average SNR, multipath fading, and shadowing conditions. Then, the relationship between the differential entropy of F composite fading channels and the corresponding ROC/AUC is examined where it is shown that the average number of bits required for encoding a signal becomes small (i.e., low differential entropy) when the detection probability is high or when the AUC is large. The difference between composite fading and traditional small-scale fading is emphasized by comparing the cross entropy for Rayleigh and Nakagami-m fading. A validation of the analytical results is provided through a careful comparison with the results of some simulations.
AB - In this paper, we investigate the performance of energy detection-based spectrum sensing over F composite fading channels. To this end, an analytical expression for the average detection probability is first derived. This expression is then extended to account for collaborative spectrum sensing, square-law selection diversity reception, and noise power uncertainty. The corresponding receiver operating characteristics (ROC) are analyzed for different conditions of the average signal-to-noise ratio (SNR), noise power uncertainty, time-bandwidth product, multipath fading, shadowing, number of diversity branches, and number of collaborating users. It is shown that the energy detection performance is sensitive to the severity of the multipath fading and the amount of shadowing, whereby even small variations in either of these physical phenomena can significantly impact the detection probability. As a figure of merit to evaluate the detection performance, the area under the ROC curve (AUC) is derived and evaluated for different multipath fading and shadowing conditions. Closed-form expressions for the differential entropy and cross entropy are also formulated and assessed for different average SNR, multipath fading, and shadowing conditions. Then, the relationship between the differential entropy of F composite fading channels and the corresponding ROC/AUC is examined where it is shown that the average number of bits required for encoding a signal becomes small (i.e., low differential entropy) when the detection probability is high or when the AUC is large. The difference between composite fading and traditional small-scale fading is emphasized by comparing the cross entropy for Rayleigh and Nakagami-m fading. A validation of the analytical results is provided through a careful comparison with the results of some simulations.
KW - Area under curve
KW - diversity reception
KW - energy detection
KW - entropy
KW - F composite fading channel
KW - noise power uncertainty
KW - receiver operating characteristics
UR - http://www.scopus.com/inward/record.url?scp=85069781695&partnerID=8YFLogxK
U2 - 10.1109/TCOMM.2019.2900627
DO - 10.1109/TCOMM.2019.2900627
M3 - Article
AN - SCOPUS:85069781695
SN - 0090-6778
VL - 67
SP - 4641
EP - 4653
JO - IEEE Transactions on Communications
JF - IEEE Transactions on Communications
IS - 7
M1 - 8648500
ER -