zbMATH — the first resource for mathematics

Achievable bit rates of cognitive user with Vandermonde precoder in cognitive radio network. (English) Zbl 1267.94017
Summary: In cognitive radio network (CRN) where primary user (PU) and secondary user (SU) wish to communicate with their corresponding receivers simultaneously over frequency selective fading channels, the interference between PU and SU should be eliminated in order to realize spectrum sharing. Precoder division multiple access (PDMA) that implements Vandermonde precoder in cognitive orthogonal frequency division multiplexing (OFDM) is proposed, which benefits from the frequency selectivity of the cognitive channel to form a frequency beam-former. Vandermonde precoder enables SUs to achieve higher bit rate with optimal power allocation strategy under the condition of PU interference constraint. Numerical and simulation results are presented to prove theoretical derivations. It is shown that, achievable bit rates (ABR) of SU could be achieved with optimal power allocation scheme in CRN. Meanwhile, it is also verified that, with Vandermonde precoder to form PDMA, SU’s signal-to-noise ratio (SNR) and the target rate of PU could impact the ABR of SU significantly in CRN.
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
94A05 Communication theory
Full Text: DOI
[1] Akyildiz I F, Lee W Y, Vuran M C, et al. Next generation/dynamic spectrum access/cognitive radio wireless networks: a survey. Comput Netw, 2006, 50: 2127–2159 · Zbl 1107.68018 · doi:10.1016/j.comnet.2006.05.001
[2] Carleial A. Interference channels. IEEE Trans Inf Theor, 1978, 24: 60–70 · Zbl 0373.94003 · doi:10.1109/TIT.1978.1055812
[3] Devroye N, Mitran P, Tarokh V. Achievable rates in cognitive radio channels. IEEE Trans Inf Theor, 2006, 52: 1813–1827 · Zbl 1293.94012 · doi:10.1109/TIT.2006.872971
[4] Maric I, Yates R D, Kramer G. Capacity of interference channels with partial transmitter cooperation. IEEE Trans Inf Theor, 2007, 53: 3536–3548 · Zbl 1326.94059 · doi:10.1109/TIT.2007.904792
[5] Budiarjo I, Nikookar H, Ligthart L P. Cognitive radio modulation techniques. IEEE Signal Process Mag, 2008, 25: 24–34 · doi:10.1109/MSP.2008.929365
[6] Weiss T A, Jondral F K. Spectrum pooling: an innovative strategy for the enhancement of spectrum efficiency. IEEE Commun Mag, 2004, 42: 8–14
[7] Haykin S. Cognitive radio: brain-empowered wireless communications. IEEE J Sel Area Commun, 2005, 23: 210–220
[8] Farhang-Boroujeny B. Filter bank spectrum sensing for cognitive radios. IEEE Trans Signal Process, 2008, 56: 1801–1811 · Zbl 1390.94174 · doi:10.1109/TSP.2007.911490
[9] Wang L, Zheng B Y, Cui J W, et al. Precoder division multiplexing access for cognitive radio. In: Proceedings of 2009 International Conference on Wireless Communications and Signal Processing (IEEE WCSP 2009). Nanjing, 2009
[10] Cardoso L S, Kobayashi M, Ryan O, et al. Vandermonde frequency division multiplexing for cognitive radio. In: Proceedings of IEEE 9th Workshop on Signal Processing Advances for Wireless Communications. Recife, 2008. 421–425
[11] Wang J., Milstein L. B. CDMA overlay situations for microcellular mobile communications. IEEE Trans on Commun, 1995, 43: 603–614 · doi:10.1109/26.380079
[12] Wang J, Chen J. Performance of wideband CDMA systems with complex spreading and imperfect channel estimation. IEEE J Sel Area Commun, 2001, 19: 152–163 · doi:10.1109/49.909617
[13] Ryan O, Debbah M. Asymptotic behavior of random Vandermonde matrices with entries on the unit circle. IEEE Trans Inf Theor, 2009, 55: 3115–3147 · Zbl 1367.15056 · doi:10.1109/TIT.2009.2021317
[14] Kobayashi M, Debbah M. On the secrecy capacity of frequency selective fading channels: a practical Vandermonde precoding. In: Proceedings of IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications, 2008. 1–5
[15] Mahmoud M A, Zoltowski M D. Performance evaluation of code-spread OFDM using Vandermonde spreading. In: Proceedings of IEEE Radio and Wireless Symposium, 2009. 320–323
[16] Sason I. On achievable rate regions for the Gaussian interference channel. IEEE Trans Info Theor, 2004, 50: 1345–1356 · Zbl 1303.94033 · doi:10.1109/TIT.2004.828151
[17] Golub G H, VanLoan C F. Matrix Computations. Baltimore: Johns Hopkins University Press, 1996
[18] Ryan O, Debbah M. On the limiting moments of Vandermonde random matrices. In: Proceedings of the 6th International Symposium on Modeling and Optimization in Mobile, Ad-hoc, and Wireless Networks, 2008. 610–619
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.