Mapping of Discrete Cosine Transform (DCT) and Discrete Sine Transform (DST) based on Symmetries

Abstract

This paper discusses the generalized recursive structure for one-dimensional discrete cosine transform and discrete sine transform. This result in quicker computation of the discrete cosine and sine transform coefficients. The paper also looks at the relations among the family of discrete cosine and sine transforms and presents the mapping relationships for various discrete cosine and sine transforms. The results suggest that they can be utilized in various applications like data compression and VLSI implementations that utilize the quick discrete cosine transform and the quick discrete sine transform.

Indexing terms:

• Quick discrete cosine transform
• Quick discrete sine transform
• Mapping
• Recursive structure
• Butterfly structure

Additional information

Notes on contributors

S Poornachandra

S Poornachandra received his BE degree from NIE, Mysore University and Master degree from MIT, Mangalore University. Currently he is pursuing research in Anna University in bio-signal processing. He is working as Assistant Professor of ECE department, SSN College of Engineering, Anna University. He has authored four textbooks. He has presented few papers in national and international conferences. His area of interest is bio-signal processing using Faster Algorithms, Wavelet Transform, Adaptive Filter and neural network.

V Ravichandran

V Ravichandran graduated from National College, Trichirapalli and received his PhD degree from Anna University. Currently, he is working as Assistant Professor of Mathematics and Computer Applications, SVCE, Anna University. He has published several papers in various national and international journals and conferences. His area of interest is Neural network and Complex analysis.

N Kumaravel

N Kumaravel received his PhD degree from Anna University in Biosignal processing. Currently, he is working as Professor in School of ECE, Anna University. He has published several papers in various national and international journals and conferences. His areas of interest are noise cancellation techniques using Genetic Algorithm, Neural Network, Adaptive Filtering and Image Processing. He is a life member of technical bodies like IEEE, IETE, ISTE and Biomedical Society of India. He served as member of Affiliation committee of DTE, Tamilnadu and Madras University for engineering colleges.