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Papoulis, A. (1991) Probability, Random Variables, and Stochastic Processes. 3rd Edition, McGraw-Hill, Inc., New York.

has been cited by the following article:

• TITLE: The Response to Arbitrarily Bandlimited Gaussian Noise of the Complex Stretch Processor Using a Conventional Range-Sidelobe-Reduction Window

  AUTHORS: John N. Spitzmiller

  KEYWORDS: Stretch Processing, Noise Jamming, Bandlimited Gaussian Noise, Range-Sidelobe-Reduction Windows

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.9 No.1, February 13, 2018

  ABSTRACT: This paper derives a mathematical description of the complex stretch processor’s response to bandlimited Gaussian noise having arbitrary center frequency and bandwidth. The description of the complex stretch processor’s random output comprises highly accurate closed-form approximations for the probability density function and the autocorrelation function. The solution supports the complex stretch processor’s usage of any conventional range-sidelobe-reduction window. The paper then identifies two practical applications of the derived description. Digital-simulation results for the two identified applications, assuming the complex stretch processor uses the rectangular, Hamming, Blackman, or Kaiser window, verify the derivation’s correctness through favorable comparison to the theoretically predicted behavior.