Interpolated digital sinusoidal oscillators

Eiji Watanabe, Nobuyasu Nakajima, Tetsuro Saito

Research output: Contribution to journalArticle

Abstract

The digital sinusoidal oscillator considered in this paper is one of the signal sources employed in the digital signal processing system. A construction of the oscillator is discussed where the memory capacity is reduced and the increasing rate of the noise is suppressed by interpolating the output of the oscillator of table look‐up type or feedback type. A design method for the interpolation filter is presented first where no interpolation error is produced if the coefficient wordlength of the interpolation filter is infinite. Then, considering the case where the wordlength is kept finite, the hold‐type sampling expander is proposed where the waveform distortion is kept low compared with the traditional zero‐interpolation‐type sampling rate expander. The distortion in the proposed method is analyzed where the wordlength of the interpolation filter coefficient is kept finite, and the waveform distortion is shown to be low. The increasing rate of the round‐off error is examined by a computer simulation for the oscillator, which is obtained by applying the interpolation to the feedback‐type oscillator. The effectiveness of the interpolation is demonstrated. Finally, a construction of the block‐digital sinusoidal oscillator is shown with a smaller hardware complexity than in the traditional method, by constructing the block‐structured oscillator by realizing the proposed interpolation filter as a polyphase filter.

Original languageEnglish
Pages (from-to)78-89
Number of pages12
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume76
Issue number1
DOIs
Publication statusPublished - 1993

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Interpolation
Sampling
Table lookup
Digital signal processing
Feedback
Hardware
Data storage equipment
Computer simulation

Keywords

  • digital filter
  • digital oscillator
  • interpolation
  • multirate processing
  • Oscillator

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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abstract = "The digital sinusoidal oscillator considered in this paper is one of the signal sources employed in the digital signal processing system. A construction of the oscillator is discussed where the memory capacity is reduced and the increasing rate of the noise is suppressed by interpolating the output of the oscillator of table look‐up type or feedback type. A design method for the interpolation filter is presented first where no interpolation error is produced if the coefficient wordlength of the interpolation filter is infinite. Then, considering the case where the wordlength is kept finite, the hold‐type sampling expander is proposed where the waveform distortion is kept low compared with the traditional zero‐interpolation‐type sampling rate expander. The distortion in the proposed method is analyzed where the wordlength of the interpolation filter coefficient is kept finite, and the waveform distortion is shown to be low. The increasing rate of the round‐off error is examined by a computer simulation for the oscillator, which is obtained by applying the interpolation to the feedback‐type oscillator. The effectiveness of the interpolation is demonstrated. Finally, a construction of the block‐digital sinusoidal oscillator is shown with a smaller hardware complexity than in the traditional method, by constructing the block‐structured oscillator by realizing the proposed interpolation filter as a polyphase filter.",
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