Detail publikačního výsledku

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

SMÉKAL, Z.

Originální název

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

Anglický název

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

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

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SMÉKAL, Z.

Vydáno

01.06.2006

ISSN

1210-2512

Periodikum

Radioengineering

Svazek

2006

Číslo

2

Stát

Česká republika

Strany od

45

Strany počet

8

BibTex

@article{BUT43204,
  author="Zdeněk {Smékal}",
  title="Difference Equations with Forward and Backward Differences and Their Usage in Digital Signal Processor Algorithms.",
  journal="Radioengineering",
  year="2006",
  volume="2006",
  number="2",
  pages="8",
  issn="1210-2512"
}