Adaptive Filter Theory (3rd Edition) by Simon Haykin

By Simon Haykin

Represents the main finished remedy on hand of neural networks from an engineering standpoint. Examines the entire vital elements of this rising know-how. DLC: Adaptive filters.

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2-11. Note that the output y H O ( t )of the zero-order hold is continuous, except at the sampling times. This type of signal is called a piecewise-continuoussignal. Fig. 14 An analog-to-digital (A/D) converter is a device that converts an analog or continuous signal into a discrete or digital signal. 10. CONTROL SYSTEMS TERMINOLOGY [CHAP. 2 A digital-to-analog (D/A) converter is a device that converts a discrete or digital signal into a continuous-time or analog signal. 8 (Figs. 2-9 and 2-10) is an A/D converter.

CHAP. 6. 5. 9 the actuating signal (control action) for the system in each example is equal to the input minus the output. Therefore negative feedback exists in each system. 2, the thermostat can be chosen as the summing point, since this is the device that determines whether or not the furnace is turned on. The enclosure environment (outside) temperature may be treated as a noise input acting directly on the enclosure. 5. The eyes perform the function of monitoring the input and output. 4, the summing point is not so easily defined.

16. 3) in which the coefficients a , ( k ) and b , ( k ) depend only upon the independent variable k, is a linear difference equation. 17. 4) where the coefficients a, ( t ) and b, ( t ) depend only upon the independent variable t , is a linear differential equation. 5) 42 DIFFERENTIAL AND DIFFERENCE EQUATIONS, AND LINEAR SYSTEMS [CHAP. 9: The polynomial in D: + D" a,-,D"-' is called the characteristic polynomial. 10: The equation D" + - * +a,D + a,, + an-lDn-' + - - . +a,D + a. 7) is called the characteristic equation.

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