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The Exact Distribution of Loop Gain

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Abstract

Loop gain is an important variable in communications theory. Here, we derive its exact distribution.

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References

  1. Abramowitz M., Stegun I. A. (1964) Handbook of mathematical functions. US National Bureau of Standards, Washington, DC

    MATH  Google Scholar 

  2. Gradshteyn I. S., Ryzhik I. M. (2007) Tables of integrals, series and products (7th ed.). Academic Press, New York

    Google Scholar 

  3. Johnson, N. L., & Kotz S. (1970). Continuous univariate distributions (Vol. 1 and 2). New York: Houghton Miflin Company.

  4. Kuo B. C., Farid G. (2003) Automatic control systems (8th ed.). John Wiley and Sons, New York

    Google Scholar 

  5. Mathai A. M., Saxena R. K. (1973) Generalized hypegeometric functions with applications in statistics and physical sciences. Springer-Verlag, Berlin

    Google Scholar 

  6. Palumbo G., Salvatore P. (2002) Feedback amplifiers: Theory and design. Kluwer Academic, Boston, Dordrecht, London

    Google Scholar 

  7. Poletti M. A. (2000) The stability of single and multichannel sound systems. Acustica 86: 163–178

    Google Scholar 

  8. Poletti M. A. (2004) The stability of multichannel sound systems with frequency shifting. Journal of the Acoustic Society of America 116: 853–871

    Article  Google Scholar 

  9. Proakis J. G. (1989) Digitial communications. McGraw-Hill, New York

    Google Scholar 

  10. Schroeder M. R. (1962) Frequency correlation functions of frequency responses in rooms. Journal of the Acoustic Society of America 34: 1819–1823

    Article  Google Scholar 

  11. Schroeder M. R., Kuttruff K. H. (1962) On frequency response curves in rooms. Comparison of experimental, theoretical, and Monte Carlo results for the average frequency spacing between maxima. Journal of the Acoustic Society of America 34: 76–80

    Article  Google Scholar 

  12. Withers, C. S., & Nadarajah, S. (2010). Some integration formulae for x μ K ν(x). Technical Report, Applied Mathematics Group, Industrial Research Ltd., Lower Hutt, New Zealand.

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Authors and Affiliations

  1. Applied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand

    Christopher S. Withers

  2. School of Mathematics, University of Manchester, Manchester, M13 9PL, UK

    Saralees Nadarajah

Authors
  1. Christopher S. Withers
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  2. Saralees Nadarajah
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Correspondence to Saralees Nadarajah.

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Withers, C.S., Nadarajah, S. The Exact Distribution of Loop Gain. Wireless Pers Commun 63, 627–643 (2012). https://doi.org/10.1007/s11277-010-0155-9

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  • DOI: https://doi.org/10.1007/s11277-010-0155-9

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