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Calculation Scheme Based on a Weighted Primitive: Application to Image Processing Transforms

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 045321 (2007) Cite this article

Abstract

This paper presents a method to improve the calculation of functions which specially demand a great amount of computing resources. The method is based on the choice of a weighted primitive which enables the calculation of function values under the scope of a recursive operation. When tackling the design level, the method shows suitable for developing a processor which achieves a satisfying trade-off between time delay, area costs, and stability. The method is particularly suitable for the mathematical transforms used in signal processing applications. A generic calculation scheme is developed for the discrete fast Fourier transform (DFT) and then applied to other integral transforms such as the discrete Hartley transform (DHT), the discrete cosine transform (DCT), and the discrete sine transform (DST). Some comparisons with other well-known proposals are also provided.

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Authors and Affiliations

  1. Departamento de Tecnología Informática y Computación, Universidad de Alicante, 03690 San Vicente del Raspeig, Alicante, 03071, Spain

    María Teresa Signes Pont, Juan Manuel García Chamizo, Higinio Mora Mora & Gregorio de Miguel Casado

Authors
  1. María Teresa Signes Pont
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  2. Juan Manuel García Chamizo
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  3. Higinio Mora Mora
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  4. Gregorio de Miguel Casado
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Correspondence to María Teresa Signes Pont.

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Signes Pont, M., García Chamizo, J., Mora Mora, H. et al. Calculation Scheme Based on a Weighted Primitive: Application to Image Processing Transforms. EURASIP J. Adv. Signal Process. 2007, 045321 (2007). https://doi.org/10.1155/2007/45321

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Keywords

  • Fourier Transform
  • Time Delay
  • Information Technology
  • Signal Processing
  • Sine