Optimal Transmission Power for Single- and Multi-Hop Links in Wireless Packet Networks With ARQ Capability

In this paper, we rigorously investigate the energy minimization problem for wireless packet networks with automatic repeat request (ARQ) capability. We first formulate the problem for the single-hop case under constrained packet delay and reliability and derive the necessary and sufficient condition for the optimal transmission power at each ARQ stage. We formulate a global rule of optimal transmission power control that achieves optimality regardless of the delay and reliability constraints. Then we extend it to encompass the multi-hop case by dividing the overall problem into two subproblems-energy determination for each ARQ stage and energy distribution among the constituent nodes. We show that the optimality condition established for the single-hop case is also applicable to solve the energy determination problem in the multi-hop case, rendering an optimal solution to the energy distribution problem. Numerical examples reveal that a significant amount of energy is saved by adopting the optimal transmission power and the performance gain is strongly correlated with the decreasing property of the frame error rate

[1]  Nicholas Bambos,et al.  Power-controlled matiple access schemes for next-generation wireless packet networks , 2002, IEEE Wireless Communications.

[2]  Sudhir Dixit,et al.  Resource management and quality of service in third-generation wireless networks , 2001, IEEE Commun. Mag..

[3]  Godred Fairhurst,et al.  Advice to link designers on link Automatic Repeat reQuest (ARQ) , 2002, RFC.

[4]  A. Goldsmith,et al.  Variable-rate variable-power MQAM for fading channels , 1996, Proceedings of Vehicular Technology Conference - VTC.

[5]  Petri Mähönen,et al.  TCP performance issues over wireless links , 2001, IEEE Commun. Mag..

[6]  E. Kreyszig,et al.  Advanced Engineering Mathematics. , 1974 .

[7]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[8]  C.-C. Jay Kuo,et al.  Power control for packet-based wireless communication systems , 2003, 2003 IEEE Wireless Communications and Networking, 2003. WCNC 2003..

[9]  Mani Srivastava,et al.  Energy-aware wireless microsensor networks , 2002, IEEE Signal Process. Mag..

[10]  Vijay K. Bhargava,et al.  Delay constrained rate and power adaptation over correlated fading channels , 2004, IEEE Global Telecommunications Conference, 2004. GLOBECOM '04..

[11]  Mark Allen Weiss,et al.  Data structures and algorithm analysis in Ada , 1993 .

[12]  Ananthanarayanan Chockalingam,et al.  Performance analysis of RLC/MAC and LLC Layers in a GPRS protocol stack , 2004, IEEE Transactions on Vehicular Technology.

[13]  Byung K. Yi,et al.  Power controlled H-ARQ in cdma2000 1/spl times/EV-DV , 2005, IEEE Communications Magazine.

[14]  John G. Proakis,et al.  Digital Communications , 1983 .

[15]  Georgios B. Giannakis,et al.  Cross-Layer combining of adaptive Modulation and coding with truncated ARQ over wireless links , 2004, IEEE Transactions on Wireless Communications.

[16]  Ian F. Akyildiz,et al.  Sensor Networks , 2002, Encyclopedia of GIS.

[17]  Naveen Arulselvan,et al.  Energy-throughput optimization for wireless ARQ protocols , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[18]  Byeong Gi Lee,et al.  A retransmission power adjustment scheme for performance enhancement in DS/SSMA ALOHA with packet combining , 2005, Journal of Communications and Networks.

[19]  Laurence B. Milstein,et al.  Error statistics in data transmission over fading channels , 1998, IEEE Trans. Commun..

[20]  Lei Song,et al.  Hierarchical SIR and rate control on the forward link for CDMA data users under delay and error constraints , 2001, IEEE J. Sel. Areas Commun..