Schemes for optimal frequency-differential encoding of sinusoidal model parameters

  • Authors:
  • Jesper Jensen;Richard Heusdens

  • Affiliations:
  • Department of Mediamatics, Technical University of Delft, Mekelweg 4, 2628 CD Delft, The Netherlands;Department of Mediamatics, Technical University of Delft, Mekelweg 4, 2628 CD Delft, The Netherlands

  • Venue:
  • Signal Processing - Special section: Hans Wilhelm Schüßler celebrates his 75th birthday
  • Year:
  • 2003

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Abstract

Sinusoidal coding plays an important role in low bit-rate audio coding. This paper considers frequency-differential encoding of the sinusoidal model parameters as an alternative to time-differential encoding. For a given signal frame, the parameters of each sinusoidal component may be encoded either differentially relative to other components in the same frame, or directly, i.e., without differential encoding. Using basic tools from graph theory, we derive several algorithms for finding bit-rate optimal combinations of direct and differential encoding of the sinusoidal parameters. In simulation experiments with audio signals, the algorithms showed bit-rate reductions of up to 28% relative to direct encoding. Furthermore, when compared to what can be considered a traditional FD encoding scheme (as used in MPEG-4 audio), the proposed algorithms achieve bit-rate reductions of up to 6%.