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A Generalized Algorithm and Reconfigurable Architecture for Efficient and Scalable Orthogonal Approximation of DCT

Category : VLSI


Sub Category : VLSI with MATLAB


Project Code : ITVL34


Project Abstract

Approximation of discrete cosine transform (DCT) is useful for reducing its computational complexity without significant impact on its coding performance. Most of the existing algorithms for approximation of the DCT target only the DCT of small transform lengths, and some of them are non-orthogonal. This paper presents a generalized recursive algorithm to obtain orthogonal approximation of DCT where an approximate DCT of length could be derived from a pair of DCTs of length at the cost of additions for input pre-processing. We perform recursive sparse matrix decomposition and make use of the symmetries of DCT basis vectors for deriving the proposed approximation algorithm. Proposed algorithm is highly scalable for hardware as well as software implementation of DCT of higher lengths, and it can make use of the existing approximation of 8-point DCT to obtain approximate DCT of any power of two length, .We demonstrate that the proposed approximation of DCT provides comparable or better image and video compression performance than the existing approximation     methods.    It is shown that proposed algorithm involves lower arithmetic complexity compared with the other existing approximation algorithms. We have presented a fully scalable reconfigurable parallel architecture for the computation of approximate DCT based on the proposed algorithm. One uniquely interesting feature of the proposed design is that it could be configured for the computation of a 32-point DCT or for parallel computation of two 16-point DCTs or four 8-point DCTs with a marginal control overhead. The proposed architecture is found to offer many advantages in terms of hardware complexity, regularity and modularity. Experimental results obtained from FPGA implementation show the advantage of the proposed method.

 

EXISTING SYSTEM

PROPOSED SYSTEM

 

EXISTING CONCEPT:

        Digital filters are one of the most commonly used signal processing circuits and several techniques have been proposed to protect them from errors.

·         Filters are used to detect and reduces the bit errors.

 

PROPOSED CONCEPT:           

A scheme of approximation of DCT should have the following features:

i) It should have low computational complexity.

ii) It should have low error energy in order to provide compression performance close to the exact DCT, and preferably should be orthogonal.

 

EXISTING TECHNIQUE:

         Discrete cosine transform (DCT)

 

 

PROPOSED TECHNIQUE:

         Binary version of high-size DCT (BDCT) adopted DCT

 

TECHNIQUE DEFINITION:

         The transform is orthogonal, we can always find its  Inverse, and the kernel matrix of the inverse transform is obtained by just transposing the kernel matrix of the forward transform. This feature of inverse transform could be used to compute the forward and inverse DCT by similar computing structures

 

TECHNIQUE DEFINITION:

         It is easily scalable for hardware as well as software implementation of DCT of higher lengths, and it can make use of the best of the existing approximations of 8-point DCT

 

DRAWBACKS:

         operates on differences of the same pixel pairs

 

ADVANTAGES:

         good compression performance due to the efficiency of  (C8)  and secondly the implementation will be much simpler, scalable and reconfigurable


 
 
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