Application of approximate trigonometric expansions to multiresolution signal representation

Qurban Memon, Takis Kasparis

Research output: Contribution to conferencePaperpeer-review


Signal representation and data coding for multidimensional signals have recently received considerable attention due to their importance to several modern technologies. Many useful contributions have been reported that employ wavelets and transform methods. Transform techniques have been generally applied for waveform coding, where constrained representation has been widely used. There is tradeoff between transform efficiency and ease of its implementation and the application depends upon the criterion applicable in any particular case. There exists an approximate Fourier expansion (AFE) with theoretically uncorrelated coefficients. Approximate trigonometric expansions have the capability of fast implementation as well as relatively better decorrelation efficiency than discrete cosine transform. Some properties of these expansions along with their application to images has already been explored. In this paper, we apply approximate trigonometric expansions to 1-D signals. Signal decomposition of the signal has been widely used with the discrete cosine transform for signal compression. Here, 1-D signals will be decomposed using approximate Fourier expansion (AFE) and later these decomposed signals will be represented using approximate cosine expansion (ACE) for purposes of coding. Computer simulation results will be presented.

Original languageEnglish
Number of pages6
Publication statusPublished - Jan 1 1996
Externally publishedYes
EventProceedings of the 1996 Southcon Conference - Orlando, FL, USA
Duration: Jun 25 1996Jun 27 1996


OtherProceedings of the 1996 Southcon Conference
CityOrlando, FL, USA

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials


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