2018IEICE Electronics ExpressOpen access

Minimum adder-delay architecture of 8/16/32-point DCT based on fixed-rotation adaptive CORDIC

Trong-Thuc Hoang, Duc-Hung Le, Cong‐Kha Pham

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Abstract

In this paper, the minimum adder-delay Discrete Cosine Transform (DCT) architecture is proposed using the Adaptive CORDIC (ACor) algorithm with fixed-rotation implementations. The proposed method has six different versions differ from the number of DCT point, i.e., 8-point (8p), 16-point (16p), and 32-point (32p), and the number of ACor stages, i.e., 2-Stage (2S) and 3-Stage (3S). The Altera Stratix IV and Stratix II FPGAs were used to built and verified the implementations. The 2S designs of 8p, 16p, and 32p DCT achieved the timing performances of four, five, and six adder-delay results, respectively. The proposed method was proven to have the best timing performances, good accuracy results, and adequate resources cost in comparison with other recent works.

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What this paper is about

In this paper, the minimum adder-delay Discrete Cosine Transform (DCT) architecture is proposed using the Adaptive CORDIC (ACor) algorithm with fixed-rotation implementations. The proposed method has six different versions differ from the number of DCT point, i.e., 8-point (8p), 16-point (16p), and 32-point (32p), and the number of ACor stages, i.e., 2-Stage (2S) and 3-Stage (3S). The Altera Stratix IV and Stratix II FPGAs were used to built and verified the implementations. The 2S designs of 8p, 16p, and 32p DCT achieved the timing performances of four, five, and six adder-delay results, respectively. The proposed method was proven to have the best timing performances, good accuracy results, and adequate resources cost in comparison with other recent works.

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Available abstract

In this paper, the minimum adder-delay Discrete Cosine Transform (DCT) architecture is proposed using the Adaptive CORDIC (ACor) algorithm with fixed-rotation implementations. The proposed method has six different versions differ from the number of DCT point, i.e., 8-point (8p), 16-point (16p), and 32-point (32p), and the number of ACor stages, i.e., 2-Stage (2S) and 3-Stage (3S). The Altera Stratix IV and Stratix II FPGAs were used to built and verified the implementations. The 2S designs of 8p, 16p, and 32p DCT achieved the timing performances of four, five, and six adder-delay results, respectively. The proposed method was proven to have the best timing performances, good accuracy results, and adequate resources cost in comparison with other recent works.

Key concepts: CORDIC, Adder, Stratix, Discrete cosine transform, Computer science, Rotation (mathematics), Arithmetic, Parallel computing

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