A Combined Architecture for FDCT Algorithm

A single generalized architecture has been deviced which can perform 4 FDCT algorithms namely, Arai's, Chen's, Loeffler's and Vetterli's by varying the control signals. Simulink files containing block design files of 4 FDCT algorithms are included. From the Simulink file appropriate language (VHDL) for the target board (FPGA) can be generated. The VHDL code is run in MODELSIM XE III/Starter 6.1e-custom Xilinx Version. Here the target board is XILINX VIRTEX-IV PRO. The obtained results are compared and concluded.

[1]  Chao Xu,et al.  Matrix Factorization for Fast DCT Algorithms , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[2]  Ting Chen,et al.  VLSI implementation of a 16*16 discrete cosine transform , 1989 .

[3]  Wen-Hsiung Chen,et al.  A Fast Computational Algorithm for the Discrete Cosine Transform , 1977, IEEE Trans. Commun..

[4]  Y. Arai,et al.  A Fast DCT-SQ Scheme for Images , 1988 .

[5]  Swapan Kumar Samaddar A generalized architecture for linear transform , 2013 .

[6]  N.R. Malik,et al.  Graph theory with applications to engineering and computer science , 1975, Proceedings of the IEEE.

[7]  Martin Vetterli,et al.  Fast 2-D discrete cosine transform , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[8]  Stamatis Vassiliadis,et al.  DCT and IDCT Implementations on Different FPGA Technologies , 2022 .

[9]  G.S. Moschytz,et al.  Practical fast 1-D DCT algorithms with 11 multiplications , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[10]  P. Yip,et al.  Discrete Cosine Transform: Algorithms, Advantages, Applications , 1990 .