Detail publikačního výsledku

Goertzel Algorithm Generalized to Non-integer Multiples of Fundamental Frequency

SYSEL, P.; RAJMIC, P.

Originální název

Goertzel Algorithm Generalized to Non-integer Multiples of Fundamental Frequency

Anglický název

Goertzel Algorithm Generalized to Non-integer Multiples of Fundamental Frequency

Druh

Článek WoS

Originální abstrakt

The paper deals with the Goertzel algorithm, used to establish the modulus and phase of harmonic components of a signal. The advantages of the Goertzel approach over the DFT and the FFT in cases of a few harmonics of interest are highlighted, with the paper providing deeper and more accurate analysis than can be found in the literature, including the memory complexity. But the main emphasis is placed on the generalization of the Goertzel algorithm, which allows us to use it also for frequencies which are not integer multiples of the fundamental frequency. Such an algorithm is derived at the cost of negligibly increasing the computational and memory complexity.

Anglický abstrakt

The paper deals with the Goertzel algorithm, used to establish the modulus and phase of harmonic components of a signal. The advantages of the Goertzel approach over the DFT and the FFT in cases of a few harmonics of interest are highlighted, with the paper providing deeper and more accurate analysis than can be found in the literature, including the memory complexity. But the main emphasis is placed on the generalization of the Goertzel algorithm, which allows us to use it also for frequencies which are not integer multiples of the fundamental frequency. Such an algorithm is derived at the cost of negligibly increasing the computational and memory complexity.

Klíčová slova

Goertzel algorithm, generalization, spectrum, DFT, DTFT, DTMF

Klíčová slova v angličtině

Goertzel algorithm, generalization, spectrum, DFT, DTFT, DTMF

Autoři

SYSEL, P.; RAJMIC, P.

Rok RIV

2013

Vydáno

22.03.2012

Nakladatel

SpringerOpen

ISSN

1687-6172

Periodikum

EURASIP Journal on Advances in Signal Processing

Svazek

2012

Číslo

1

Stát

Spojené státy americké

Strany od

1

Strany do

20

Strany počet

20

URL

https://asp-eurasipjournals.springeropen.com/articles/10.1186/1687-6180-2012-56

Plný text v Digitální knihovně

http://hdl.handle.net/11012/137955

BibTex

@article{BUT89671,
  author="Petr {Sysel} and Pavel {Rajmic}",
  title="Goertzel Algorithm Generalized to Non-integer Multiples of Fundamental Frequency",
  journal="EURASIP Journal on Advances in Signal Processing",
  year="2012",
  volume="2012",
  number="1",
  pages="1--20",
  doi="10.1186/1687-6180-2012-56",
  issn="1687-6172",
  url="https://asp-eurasipjournals.springeropen.com/articles/10.1186/1687-6180-2012-56"
}

Dokumenty

1687-6180-2012-56