A Course in Digital Signal Processing by Boaz Porat

By Boaz Porat

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

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The Dirac delta function 8(t) mayor may not be in the input family of a given LTI system. 6. 6 Continuous-Time Random Signals * A random signal cannot be described by a unique, well-defined mathematical formula. Instead, it can be described by probabilistic laws. In this book we shall use random signals only occasionally, so detailed knowledge of them is not required. We do assume, however, familiarity with the notions of probability, random variables, expectation, variance and covariance. We give here the basic definitions pertaining to random signals and a few of their properties.

A signal of interest may be accompanied by an undesirable random signal, which interferes with the signal of interest and limits its usefulness. For example, the typical hiss of audiocassettes limits the usefulness of such cassettes in playing high-fidelity music. In such cases, the undesirable random signal is usually called noise. Occasionally "noise" is understood as a synonym for a random signal, but more often it is used only when the random signal is considered harmful or undesirable. 22 CHAPTER 2.

Chapter 8 introduces the concept of filtering, filter specifications, magnitude and phase properties of digital filters, and review of digital filter design. Chapters 9 and 10 discuss the two classes of digital filters: finite impulse response (FIR)and infinite impulse response (IIR),respectively. The focus is on filter design techniques and on properties of filters designed by different techniques. The last four chapters contain relatively advanced material. Chapter 11 discusses filter realizations, introduces state-space representations, and analyses finite word 6 CHAPTER 1.

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