Block Convolution Using Discrete Trigonometric Transforms and Discrete Fourier Transform

@article{Suresh2008BlockCU,
  title={Block Convolution Using Discrete Trigonometric Transforms and Discrete Fourier Transform},
  author={K. Suresh and Thippur V. Sreenivas},
  journal={IEEE Signal Processing Letters},
  year={2008},
  volume={15},
  pages={469-472}
}
We derive expressions for convolution multiplication properties of discrete cosine transform II (DCT II) starting from equivalent discrete Fourier transform (DFT) representations. Using these expressions, a method for implementing linear filtering through block convolution in the DCT II domain is presented. For the case of nonsymmetric impulse response, additional discrete sine transform II (DST II) is required for implementing the filter in DCT II domain, where as for a symmetric impulse… CONTINUE READING