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A Novel Cosine Approximation for High-Speed Evaluation of DCT
Geetha Komandur, M. UttaraKumari
Pages - 539 - 548     |    Revised - 31-01-2011     |    Published - 08-02-2011
Volume - 4   Issue - 6    |    Publication Date - January / February  Table of Contents
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KEYWORDS
Cosine Approximation, Ramanujan ordered Number, High-speed evaluation
ABSTRACT
This article presents a novel cosine approximation for high-speed evaluation of DCT (Discrete Cosine Transform) using Ramanujan Ordered Numbers. The proposed method uses the Ramanujan ordered number to convert the angles of the cosine function to integers. Evaluation of these angles is by using a 4th degree Polynomial that approximates the cosine function with error of approximation in the order of 10^-3. The evaluation of the cosine function is explained through the computation of the DCT coefficients. High-speed evaluation at the algorithmic level is measured in terms of the computational complexity of the algorithm. The proposed algorithm of cosine approximation increases the overhead on the number of adders by 13.6%. This algorithm avoids floating-point multipliers and requires N/2log2N shifts and (3N/2 log2 N)- N + 1 addition operations to evaluate an N-point DCT coefficients thereby improving the speed of computation of the coefficients .
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Mr. Geetha Komandur
R.V.College of Engineering, Bangalore - India
geethakomandur@gmail.com
Professor M. UttaraKumari
- India