Semi-Symbolic CAD Discrete System Analysis

Semi-Symbolic CAD Discrete System Analysis

Paper in proceedings (conference paper)

In the analysis and synthesis of the structures of linear time-invariant discrete systems, in their implementation in microprocessors and digital signal processors, and in many of their applications it is desirable to calculate the transfer function on the basis of a set of state-space difference equations that represent the given structure. The digital filter, which is the practical realization of a discrete system, can be represented in the time domain using linear difference equations with constant coefficients. This is the fundamental approach but it is impractical for complicated structures since it is difficult to obtain the frequency response and other properties of a given structure. Of greater advantage is the matrix notation of equations, which are expressed in the z domain. Solving the set of matrix equations is an effective method for obtaining the transfer function from an arbitrary input node to an arbitrary output node.

In the analysis and synthesis of the structures of linear time-invariant discrete systems, in their implementation in microprocessors and digital signal processors, and in many of their applications it is desirable to calculate the transfer function on the basis of a set of state-space difference equations that represent the given structure. The digital filter, which is the practical realization of a discrete system, can be represented in the time domain using linear difference equations with constant coefficients. This is the fundamental approach but it is impractical for complicated structures since it is difficult to obtain the frequency response and other properties of a given structure. Of greater advantage is the matrix notation of equations, which are expressed in the z domain. Solving the set of matrix equations is an effective method for obtaining the transfer function from an arbitrary input node to an arbitrary output node.

Computer Aided Design, Digital Filters, Matlab Environment

Computer Aided Design, Digital Filters, Matlab Environment

Tassignon, H., Smékal, Z.

01.06.2005

TUD Press, Verlag der Wissenschaften GmBH

Dresden

3-938863-17-X

Proceedings of the 16th International Conference on Electonic Speech Signal Processing

první

první

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