Echo Signal Processing by Dennis W. Ricker (auth.)

By Dennis W. Ricker (auth.)

This ebook provides simple and complicated issues within the components of sig­ nal conception and processing as utilized to acoustic echo-location (sonar). it's written on the complex undergraduate or graduate point, and as­ sumes that the reader is conversant with the techniques and arithmetic linked to introductory graduate classes in sign processing equivalent to linear and intricate algebra, Fourier research, chance, complicated calculus, and linear approach concept. the fabric is gifted in a tuto­ rial model as a logical improvement beginning with easy ideas and resulting in the improvement of issues in detection and estimation concept, waveform layout, echo modeling, scattering idea, and spatial technique­ ing. Examples are supplied in the course of the e-book to demonstrate impor­ tant techniques and particularly vital relationships are boxed. The publication addresses the sensible features of receiver and waveform layout, and hence might be of curiosity to the working towards engineer in addition to the coed. even supposing a lot of the e-book is appropriate to the overall echo-location challenge that incorporates radar, its emphasis is on acoustic echo place particularly in regard to time mapping and the wideband or wavelet description of Doppler. Introductory sign concept fabric is incorporated within the first bankruptcy to supply a origin for the fabric lined within the later chapters. A constant notational conference is ob­ served during the booklet in order that some of the mathematical entities are easily pointed out. this is often defined within the thesaurus and image list.

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18) proving the theorem. Sxx(w) has the units of Joules or Watts/Hz and represents the average power at each frequency. , Rxx(7) = R;A -7). 5) for a time delay 7 is Rxx(7) = ;:-lSxx{w) and for 7 = 0, which is the aggregate power over all frequency and the average power of the process x(t). The psd is also defined for the cross correlation between two WSS processes as S ( ) - r £{X(w, T)Y*{w, Tn xy w -T~~ T = I: Rxy(z) exp -jwzdz (Watts/Hz=Joules) and is called the cross spectrum or cross spectral density.

The analysis of stochastic processes is most easily carried out using the probability density function (pdf) or the cumulative distribution function (cdf) for the value of a stochastic process x( tj 'TJ) at any time t. These describe the overall behavior of the ensemble of functions at a given time. 6. STOCHASTIC PROCESSES all possible values of xCt). x at time t is 2 21 The associated pdf for the random variable f(x; t) d = -F(x; t) dx Similarly, define the vector and its associated random vector x= (Xl : XN) whose i-th element represents all possible values of X(ti).

Lathi. Signals, Systems, and Communications. John Wiley & Sons, New York NY, 1965. S. Tzannes. Communication and Radar Systems. Prentice-Hall, Englewood Cliffs NJ, 1985. E. H. Tranter. Principles of Communications: Systems, Modulation, and Noise. Houghton Mifflin, New York NY, 1976. L. Van Trees. Detection, Estimation, and Modulation TheoryPart III . Wiley, 1971. D. Whalen. 1971. Detection of Signals in Noise. C. G. M. Kay. Digital Signal Processing for Sonar. Proceedings of the IEEE, 69(11):1451-1507, Nov.

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