Publication detail

Difference Equations with Forward and Backward Differences and Their Usage in Digital Signal Processor Algorithms.

SMÉKAL, Z.

Original Title

Difference Equations with Forward and Backward Differences and Their Usage in Digital Signal Processor Algorithms.

English Title

Difference Equations with Forward and Backward Differences and Their Usage in Digital Signal Processor Algorithms.

Type

journal article - other

Language

en

Original Abstract

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.

English abstract

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.

Keywords

Forward and Backward Differences, Difference Equations, Digital Signal Processor Algorithms.

RIV year

2006

Released

01.06.2006

Pages from

45

Pages to

52

Pages count

8

BibTex


@article{BUT43204,
  author="Zdeněk {Smékal}",
  title="Difference Equations with Forward and Backward Differences and Their Usage in Digital Signal Processor Algorithms.",
  annote="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.",
  chapter="43204",
  journal="Radioengineering",
  number="2",
  volume="2006",
  year="2006",
  month="june",
  pages="45",
  type="journal article - other"
}