New PDF release: A Course in Digital Signal Processing

By Boaz Porat

ISBN-10: 0471149616

ISBN-13: 9780471149613

********** a few SCANNED PAGES ARE LOSSY changed WITH OCRed-TEXT **********

A complete, useful and up to date exposition on electronic sign processing. either mathematical and important, this ebook makes use of a rigorous method of support readers study the idea and perform of DSP. It discusses useful spectral research, together with using home windows for spectral research, sinusoidal sign research, and the influence of noise. It additionally covers FIR and IIR filters, together with distinctive layout strategies and MATLAB instruments.

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IYx,yl - Jiy)]. 60) :$ axay. Two random variables are said to be uncorrelated if their covariance is zero. If x and yare the same random variable, their covariance is equal to the variance of x. A random signal x(t) has mean and variance at every time point. The mean and the variance depend on t in general, so we denote them as functions of time, Jix (t) and Yx(t), respectively. 61) - Jix(t)]2. 62) - Jix(t2)]}. Note that, whereas Jix(t) and yx(t) are functions of a single variable (the time covariance is a function of two time variables.

16) is linear, provided the capacitor has zero charge in the absence of input current. This follows from linearity of the differential equation. The system is time invariant as well; however, if the resistance R or the capacitance C vary in time, the system is not time invariant. A system that is both linear and time invariant is called linear time invariant, or LTI. All systems treated in this book are linear time invariant. The Dirac delta function 8(t) mayor may not be in the input family of a given LTI system.

Aliasing can be practically eliminated under certain conditions, or at least minimized. Reconstruction also leads to distortions due to physical limitations on realizable (as opposed to ideal) reconstructors. These subjects occupy the main part of the chapter. Chapter 3 also includes a section on physical aspects of sampling: digitaHo-analog and analog-to-digital converters, their operation, implementation, and limitations. Three chapters are devoted to frequency-domain digital signal processing.

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A Course in Digital Signal Processing by Boaz Porat

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