By Boaz Porat

ISBN-10: 0471149616

ISBN-13: 9780471149613

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

A finished, useful and up to date exposition on electronic sign processing. either mathematical and precious, this ebook makes use of a rigorous method of aid readers research the speculation and perform of DSP. It discusses sensible spectral research, together with using home windows for spectral research, sinusoidal sign research, and the impression of noise. It additionally covers FIR and IIR filters, together with specific layout approaches and MATLAB instruments.

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1. CONTINUOUS-TIME SIGNALSAND SYSTEMS 13 A dynamic system (or simply a system) is an object that accepts signals, operates on them, and yields other signals. The eventual interest of the engineer is in physical systems: electrical, mechanical, thermal, physiological, and so on. However, here we regard a system as a mathematical operator. In particular, a continuous-time, singleinput, single-output (SISO) system is an operator that assigns to a given input signal x(t) a unique output signal y(t).

If y(t) is the response to xU), then the response to xU - to) is yU - to) for every fixed to (positive or negative). 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.

95). The Fourier transform of a discrete-time signal is periodic, with period 2IT. Discrete-time periodic signals and discrete-time random signals are defined in a manner similar to the corresponding continuous-time signals and share similar properties. The material in this chapter is covered in many books. For general signals and system theory, see Oppenheim and Willsky [1983], Gabel and Roberts [1987], Kwakernaak and Sivan [1991], or Haykin and Van Veen [1997]. For random signals and their relation to linear systems, see Papoulis [1991] or Gardner [1986].

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A Course in Digital Signal Processing by Boaz Porat


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