A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling

Automatica ◽  
2007 ◽  
Vol 43 (7) ◽  
pp. 1211-1218 ◽  
Author(s):  
Andrés Marcos ◽  
Declan G. Bates ◽  
Ian Postlethwaite
Keyword(s):  
Matrix Decomposition ◽  
Decomposition Algorithm ◽  
Linear Fractional Transformation ◽  
Reduced Order ◽  
Order Linear ◽  
Matrix Decomposition Algorithm ◽  
Symbolic Matrix

Design and Implementation of Unified DCT/IDCT Architecture Based on FPGA

2014 ◽  
Vol 981 ◽  
pp. 323-326
Author(s):  
Hai Huang ◽  
Jia Ming Liu ◽  
Xue Bin Lu ◽  
Bin Yu
Keyword(s):  
Discrete Cosine Transform ◽  
Matrix Decomposition ◽  
Decomposition Algorithm ◽  
Hardware Complexity ◽  
Cosine Transform ◽  
Matrix Decomposition Algorithm ◽  
Design And Implementation ◽  
Inverse Transform ◽  
The Matrix

This paper proposes a unified architecture for computation of discrete cosine transform (DCT) and its inverse transform (IDCT). The matrix decomposition algorithm is used to deduce the proposed algorithm. Based on this algorithm, a unified DCT/IDCT architecture is developed. Then, this architecture is modeled in HDL, verified and implemented with FPGA. Experiment results show that the unified DCT/IDCT architecture has low hardware complexity and high calculation accuracy.

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