By John R. Pierce
Книга just about all approximately Waves just about all approximately WavesКниги Физика Автор: John R. Pierce Год издания: 2006 Формат: djvu Издат.:Dover guides Страниц: 224 Размер: 1,1 ISBN: 0486453022 Язык: Английский0 (голосов: zero) Оценка:This textual content considers waves the nice unifying notion of physics. With minimum arithmetic, it emphasizes the habit universal to phenomena similar to earthquake waves, ocean waves, sound waves, and mechanical waves. issues comprise pace, vector and intricate illustration, strength and momentum, coupled modes, polarization, diffraction, and radiation. 1974 version.
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Soc. Am. 69 (1979): 1690–94. 13. Middleton, D. An Introduction to Statistical Communication Theory. 4. 14. H. Angle Modulation. Stevenage, UK: Peter Peregrinus, 1977, Chapter 3. 15. O. Statistical Properties of a Sine Wave Plus Random Noise. Bell Syst. Tech. J. 27 (1948): 109–57. 16. , and E. Jakeman. FM Demodulation in the Presence of Multiplicative and Additive Noise. Inverse Problems 15 (1999): 989–1002. 1 Introduction Statistical models derived from Gaussian noise appear throughout the scientific literature and indeed are the subject of entire books .
J. F. Siegert  who derived it in his wartime report on microwave scattering from raindrops. 5. 22, but one needs to be careful when considering the range of values taken by φ and φ′. 22 the values are defined to lie between 0 and 2π, but they may also be defined on any interval of length 2π. 6 Simulation of a phase time series for a circular complex Gaussian process. 6, which shows results of numerical simulation. This means that the phase process behaves differently when φ is near 0 or 2π compared to when it is in the middle of the interval.
It will be seen in Chapter 12 that in the case of a Lorentzian spectrum, this kind of process can in fact be generated without any reference to underlying Gaussian statistics [7,8]. 21 for the complex Gaussian case, m = 2, is recovered on setting α = 1. 18 implies certain factorization properties that are manifest in the higher-order moments and correlation functions. 11. 20) Here, the subscripts refer to different times with gij = g(ti – tj). 17. 21) In the limit of small τ the exponent reduces to the time derivative of the intensity, assuming this is a differentiable process.