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Gautschi, W. Algorithm 363: Complex error function. Commun. ACM 12, 635 (1969). Geladi, P. and Kowalski, B.R. Partial least-squares regression: a tutorial. Anal. Chim. Acta 185, 1 17 (1986). Gunnink, R. An algorithm for tting Lorentzian-broadened, Kseries X-ray peaks of the heavy elements. Nucl. Instrum. Methods 143, 145 149 (1977). H skuldsson, A. PLS regression methods. J. Chemom. 2, o 211 228 (1988). Humlicek, J. Optimized computation of the Voigt and complex probability function. J. Quant. Spectrosc. Radiat. Transfer 27, 437 (1982). Jorch, H.H. and Campbell, J.L. On the analytic tting of full energy peaks from Ge(Li) and Si(Li) photon detectors. Nucl. Instrum. Methods 143, 551 559 (1977). Jordanov, V.T., Knoll, G.F., Huber, A.C. and Pantazis, J.A. Digital techniques for real-time pulse shaping in radiation measurements. Nucl. Instrum. Methods A 353, 261 264 (1994). Lemberge, P. and Van Espen, P.J. Quantitative energy-dispersive X-ray uorescence analysis of liquids using partial leastsquares regression. X-Ray Spectrom. 28, 77 85 (1999). Lemberge, P., De Raedt, I., Janssens, K., Wei, F. and Van Espen, P. Quantitative analysis of 16 17th century archaeological glass vessels using PLS regression of EPXMA and -XRF data. J. Chemom. 14, 751 763 (2000). Lemberge, P., Van Espen, P. and Vrebos, B. Analysis of cement using low-resolution energy-dispersive X-ray uorescence and partial least-squares regression. X-Ray Spectrom. 29, 297 304 (2000). Levenberg, K. A method for the solution of certain non-linear problems in least squares. Quart. Appl. Maths. 2, 164 168 (1944). Lorber, A., Wangen, L.E. and Kowalski, B.R. A theoretical foundation for the PLS algorithm. J. Chemom. 1, 19 31 (1987). Manne, R. Analysis of two partial-least-squares algorithms for multivariate calibration. Chemom. Intell. Lab. Syst. 2, 187 197 (1987). Marquardt, D.W. An algorithm for least-squares estimation of non-linear parameters. J. Soc. Ind. Appl. Math. 11, 431 441 (1963). Martens, H. and Naes, T. Multivariate Calibration, Wiley, Chichester, 1989. McCarthy, J.J. and Schamber, F.H. NBS Special Publication 604, 1981. Murty, V.R.K., Winkoun, D.P. and Devan, K.R.S. On the comparison of performance of freoelectric cooled Si(Li) and Si-PIN Peltier cooled detectors. Radiat. Phys. Chem. 51, 459 460 (1998). Nullens, H., Van Espen, P. and Adams, F. Linear and nonlinear peak tting in energy-dispersive X-ray uorescence. X-ray Spectrom. 8, 104 109 (1979). Phatak, A., Reilly, P.M. and Pemlidis, A. The geometry of 2-block partial least squares regression. Commun. Statist. Theory Meth. 21, 1517 1553 (1992).
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82. Waldvogel, J.; Diversiev, G.; Poulikakos, D.; Megaridis, C.; Attinger, D.; Xiong, B.; Wallace, D. 1998. Impact and solidi cation of molten-metal droplets on electronic substrates. J. Heat Transfer 120:539. 83. Hayes, D. 1993. Picoliter solder droplet dispersion. International J. Microcircuits Electron. Packaging 16:173 179. 84. Wallace, D. 1988. Automated Electronic Circuit Manufacturing using Ink-Jet Technology, Vol. 3. Division of Industrial Science and Technological Innovation (ISTI), Directorate for Scienti c, Technological, and International Affairs (STIA), National Science, Washington, DC. pp. 69. 85. Howell, E. 2001. Dynamic surface tension measurements of liquid solder using oscillating jets of elliptical cross section. Mechanical and Industrial Engineering. University of Illinois at Chicago, Chicago, IL. pp. 75. 86. Orme, M.; Liu, Q.; Smith, R. 2000. Molten aluminum micro-droplet formation and deposition for advanced manufacturing applications. Aluminum Transactions J. 3:95 103. 87. Orme, M.; Smith, R. 2000. Enhanced aluminum properties by means of precise droplet deposition. J. Manufacturing Sci. Engineer-Trans. ASME 122:484 493. 88. 1979. Properties and Selection: Nonferrous Alloys and Pure Metals, Metals Handbook, 9th edition, Vol. 2. ASM International, Metals Park, OH. 89. Whyman, R. 1996. Gold nanoparticles. A renaissance in gold chemistry. Gold Bulletin 29:11 15. 90. Spotts, P. 2002. No fairy tale: Researchers spin straw into gold. The Christian Science Monitor. August 29. 91. Gardea-Torresdey, J. 2003. Use of XAS and TEM to determine the uptake of gold and silver and nanoparticle formation by living alfalfa plants. Abstracts of Papers of the American Chemical Society 225:U837 U837. 92. Gardea-Torresdey, J. L.; Parsons, J. G.; Gomez, E.; Peralta-Videa, J.; Troiani, H. E.; Santiago, P.; Jose Yacaman, M. 2002. Formation and growth of Au nanoparticles inside live alfalfa plants. Nano Lett. 2:397 401. 93. Tay, B.; Edirisinghe, M. 2002. Dispersion and stability of silver inks. J. Mater. Sci. 37:4653 4661. 94. Szczech, J.; Megaridis, C.; Gamota, D.; Zhang, J. 2002. Fine-line conductor manufacturing using drop-on demand PZT printing technology. IEEE Trans. Electron. Packaging Manufacturing 25:26 33. 95. Fuller, S.; Wilhelm, E.; Jacobson, J. 2002. Ink-jet printed nanoparticle microelectromechanical systems. J. Microelectromechanical Systems 11:54 60. 96. Bieri, N.; Chung, J.; Haferl, S.; Poulikakos, D.; Grigoropoulos, C. 2003. Microstructuring by printing and laser curing of nanoparticle solutions. Appl. Phys. Lett. 82:3529 3531. 97. Chung, J.; Ko, S.; Bieri, N.; Grigoropoulous, C.; Poulikakos, D. 2004. Conductor microstructures by laser curing of printed gold nanoparticle ink. Appl. Phys. Lett. 84:801 803.
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transmit and receive levels of wireless signals are so different that the transmitted signal would swamp the RX and make it impossible to detect the receive signal.2 These relay processing methods can now be combined with various transmission protocols that prescribe when what information blocks are transmitted from which nodes. We list them here in order of increasing performance (and at the same time of increasing complexity). Multi-hop xF3 (MxF): in the rst timeslot, the source transmits, and only the relay is listening. In the second timeslot, only the relay is transmitting and the destination is listening. Split-Combine xF (SCxF): in the rst timeslot, the source transmits and only the relay is listening (just as in MxF). In the second timeslot, both source and relay transmit, and the destination is listening. Diversity xF (DxF): in the rst timeslot, the source transmits and both relay and destination are listening. In the second timeslot, only the relay is transmitting and the destination is listening. Thus, the destination gets two copies of the original signal. Nonorthogonal Diversity xF (NDxF): in this scheme the source sends differently encoded information in the second timeslot. Take, e.g., the case where the source encodes the information with a rate 1/3 convolutional code that is punctured to rate 2/3 by omitting the rst, third, fth, and so on, bits. The relay recovers the original information, but then encodes with the same rate of 1/3 convolutional code, but now punctures out the second, fourth, sixth, and so on, bits. The RX thus sees, from source and relay, differently encoded versions of the same information. Intersymbol Interference xF (IxF): this is a scheme that works only if the relay has full-duplex capability (contrary to our assumption above). In timeslot i , the source sends an information block to the relay, and in timeslot i + 1, the relay forwards this block to the destination, while at the same time, the source sends the next information block to the relay. The destination is continuously listening, and in each timeslot hears the superposition of the current information block directly from the source, and a previous information block from the relay. The above-mentioned protocols are by no means the only ones possible, and a number of variations have been proposed that are either aimed to reduce the penalty of half-duplex operation, and/or are intended to allow simpli ed encoding and decoding.
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