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Unformatted text preview: Lecture 4 DSP Linear Constant Coefficient Difference Equation 4.1 Introduction Linear Constant Coefficient Difference Equation is the equation that described the relationship between the input and the output of any system .It is described the operation of the digital processors in the time domain and provided a method for computing the response of a system, y(n), to an arbitrary input x(n). The Nth order of a linear constant coefficient difference equation is Where the coefficients a(k) and b(k) are constants that define the system. If the difference equation has one or more terms a(k) that are nonzero, the difference equation is said to be recursive . On the other hand, if all of the coefficients a(k) are equal to zero, the difference equation is said to be nonrecursive. 4.2 Describing the discrete linear time invariant systems There are two basic method for analyzing the behavior or response of a linear system to a given input signal • One method is based on the direct solution of the input-output equation for the system • The second is to decompose or resolve the input signal into a sum of elementary signals. The elementary signals are selected so that the response of the system to each signal component is easily determined. determined....
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This note was uploaded on 02/04/2012 for the course COMPUTER 101 taught by Professor Ahmed during the Spring '11 term at alamo.edu.
- Spring '11