1. On the Odd-DFT and Its Applications to DCT/IDCT Computation.
- Author
-
Mansour, Mohamed F.
- Subjects
ALGORITHMS ,FOURIER transforms ,FOURIER analysis ,EIGENVECTORS ,MATRICES (Mathematics) - Abstract
In this correspondence, efficient algorithms are presented for simultaneous calculation of the odd discrete Fourier transform (odd-DFT) and the real DFT. These algorithms are used to derive a new algorithm to calculate the discrete cosine transform (DCT) that is computationally equivalent to the classical fast Fourier transform (FFT)-based algorithm for DCT calculation [6]. In addition, odd-DFT properties are exploited to develop a novel algorithm for an inverse discrete cosine transform (IDCT) calculation that outperforms previous FFT-based solutions for IDCT calculation. [ABSTRACT FROM AUTHOR]
- Published
- 2006
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