Difference Equations with Forward and Backward Differences and Their Usage in Digital Signal Processor Algorithms
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In the paper the relation is given between linear difference equations with constant coefficients those obtained via the application of forward and backward differences. Relation is also established between input-output difference equations and state-space difference equations, which define the state of inner quantities of a discrete system. In conclusion, the state-space representation of a discrete system is given, which is suitable for implementing a discrete system in the microprocessor and digital signal processor. The resultant solution consists of the response to input signal and the response to non-zero initial conditions.
KeywordsForward and backward differences, difference equations, digital signal processor algorithms
Document typePeer reviewed
Document versionFinal PDF
SourceRadioengineering. 2006, vol. 15, č. 2, s. 45-52. ISSN 1210-2512
- 2006/2