Energy Efficiency of Power-Adaptive Spatial Diversity Methods

The energy efficiency of power-adaptive multipleinput multiple-output (MIMO) diversity methods is studied in this paper. The considered diversity methods are antenna selection (AS), maximum ratio transmission (MRT), and equal gain transmission (EGT) at the transmitter and maximum ratio combining (MRC) at the receiver. The transmitter energy efficiency is evaluated using the average power amplifier (PA) efficiency and the transceiver energy efficiency is evaluated using the bit error rate (BER) as a function of average PA input signal-to-noise ratio (SNR), which is a new metric. With the new metric, the effect of the PA efficiency is taken into account in the performance evaluation. The analytical results are verified by Monte Carlo simulations. It is shown that larger diversity in the spatial or frequency domain improves the average PA efficiency in a system with channel inversion. The BER results show that the performance improvement from channel inversion diminishes due to the nonideal PA efficiency. Even though MRT is the received SNR maximizing transmitter diversity method, EGT requires less PA input energy per bit when a PA with nonideal efficiency is used. These conclusions could not have been reached using the traditional SNR metrics that do not measure the PA input energy.

[1]  Robert W. Heath,et al.  Equal gain transmission in multiple-input multiple-output wireless systems , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[2]  G.A. Rincon-Mora,et al.  A high-efficiency linear RF power amplifier with a power-tracking dynamically adaptive buck-boost supply , 2004, IEEE Transactions on Microwave Theory and Techniques.

[3]  Petre Stoica,et al.  Utilizing Space-Time Diversity for Wireless Communications , 2001, Wirel. Pers. Commun..

[4]  Hilmar Drygas,et al.  An alternative representation of noncentral beta and F distributions , 2006 .

[5]  Y. Neuvo,et al.  Cellular phones as embedded systems , 2004, 2004 IEEE International Solid-State Circuits Conference (IEEE Cat. No.04CH37519).

[6]  Gerhard Fettweis,et al.  The global footprint of mobile communications: The ecological and economic perspective , 2011, IEEE Communications Magazine.

[7]  Junxiong Deng,et al.  A high average-efficiency SiGe HBT power amplifier for WCDMA handset applications , 2005, IEEE Transactions on Microwave Theory and Techniques.

[8]  R.E. Ziemer,et al.  Digital and analog communication systems , 1981, Proceedings of the IEEE.

[9]  Hideki Ochiai,et al.  On the distribution of the peak-to-average power ratio in OFDM signals , 2001, IEEE Trans. Commun..

[10]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[11]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[12]  Michel Steyaert,et al.  RF Power Amplifiers for Mobile Communications , 2006 .

[13]  R Darraji,et al.  A Dual-Input Digitally Driven Doherty Amplifier Architecture for Performance Enhancement of Doherty Transmitters , 2011, IEEE Transactions on Microwave Theory and Techniques.

[14]  F. Raab Average Efficiency of Class-G Power Amplifiers , 1986, IEEE Transactions on Consumer Electronics.

[15]  D.J. Allstot,et al.  A Class-G Supply Modulator and Class-E PA in 130 nm CMOS , 2009, IEEE Journal of Solid-State Circuits.

[16]  Friedrich Jondral,et al.  Average efficiency of power amplifiers in power-controlled systems with multi-antenna diversity , 2011, 2011 Wireless Telecommunications Symposium (WTS).

[17]  B. Glance,et al.  Frequency-Selective Fading Effects in Digital Mobile Radio with Diversity Combining , 1983, IEEE Trans. Commun..

[18]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .

[19]  John F. Sevic,et al.  Statistical characterization of RF power amplifier efficiency for CDMA wireless communication systems , 1997, Proceedings of 1997 Wireless Communications Conference.

[20]  Shang-Ho Tsai,et al.  Equal Gain Transmission with Antenna Selection in MIMO Communications , 2011, IEEE Transactions on Wireless Communications.

[21]  F. Raab,et al.  Power amplifiers and transmitters for RF and microwave , 2002 .

[22]  T.K.Y. Lo,et al.  Maximum ratio transmission , 1999, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311).

[23]  M. Kendall Probability and Statistical Inference , 1956, Nature.

[24]  S. C. Cripps,et al.  RF Power Amplifiers for Wireless Communications , 1999 .

[25]  Pravin Varaiya,et al.  Capacity of fading channels with channel side information , 1997, IEEE Trans. Inf. Theory.

[26]  Petre Stoica,et al.  Space-Time Diversity Using Orthogonal and Amicable Orthogonal Designs , 2001, Wirel. Pers. Commun..

[27]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[28]  C. Geiss,et al.  An introduction to probability theory , 2008 .

[29]  Desmond P. Taylor,et al.  Instantaneous Capacity of OFDM on Rayleigh-Fading Channels , 2007, IEEE Transactions on Information Theory.

[30]  Sunghyun Choi,et al.  Power Amplifier Characteristic-Aware Energy-Efficient Transmission Strategy , 2007, Networking.

[31]  Marko Höyhtyä,et al.  Relationship of Average Transmitted and Received Energies in Adaptive Transmission , 2010, IEEE Transactions on Vehicular Technology.

[32]  Aarne Mämmelä,et al.  The effect of power control on the average power amplifier efficiency , 2010, 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications.

[33]  H. Saunders,et al.  Probability, Random Variables and Stochastic Processes (2nd Edition) , 1989 .

[34]  Liesbet Van der Perre,et al.  Challenges and enabling technologies for energy aware mobile radio networks , 2010, IEEE Communications Magazine.

[35]  Yan Chen,et al.  Impact of Non-Ideal Efficiency on Bits Per Joule Performance of Base Station Transmissions , 2011, 2011 IEEE 73rd Vehicular Technology Conference (VTC Spring).

[36]  Ronald F. Boisvert,et al.  NIST Handbook of Mathematical Functions , 2010 .

[37]  David Falconer,et al.  Frequency domain equalization for single-carrier broadband wireless systems , 2002, IEEE Commun. Mag..

[38]  Liesbet Van der Perre,et al.  Performance analysis of combined transmit-SC/receive-MRC , 2001, IEEE Trans. Commun..

[39]  D. G. Brennan,et al.  Linear diversity combining techniques , 2003 .

[40]  Mohamed-Slim Alouini,et al.  Largest eigenvalue of complex Wishart matrices and performance analysis of MIMO MRC systems , 2003, IEEE J. Sel. Areas Commun..

[41]  Marian Verhelst,et al.  Power Consumption Minimization for MIMO Systems — A Cognitive Radio Approach , 2011, IEEE Journal on Selected Areas in Communications.