Adaptive CORDIC: Using Parallel Angle Recoding to Accelerate Rotations

CSD-based CORDIC algorithm and its VLSI implementation

“…The closed-form expressions in the previous sections (solid lines) match quite well with the simulation results (dashed lines) where the rotation angle is uniformly distributed within the domain of convergence. It is verified that the hybrid CORDIC algorithm achieves almost the same accuracy as the conventional CORDIC algorithm if N 2 2N 1 , as analyzed in [2]. Furthermore, in terms of accuracy, the CSD-based CORDIC algorithm (Á ¼ Á 1 ) outperforms the conventional CORDIC algorithm by (N 2 À 2) bits if N 2 N 1 , as analyzed previously.…”

“…One of the latency bottlenecks is the sequential decision of the rotation directions [2]. One of the attempts made to break the bottleneck is the so-called hybrid CORDIC algorithm, which makes it possible to determine the rotation directions in parallel based on the 2's complement representation of the rotation angle [3,4,5].…”

Hardware for Calculation of SIN and COSINE Angle using CORDIC Algorithm

“…[5] introduced an area efficient CORDIC realization for computation of sine and cosine of angle and used this realization in robotics application in 2009. Rodrigues and Swartzlander(2010) [6] developed an adaptive CORDIC to accelerate rotations using parallel angle recoding. This parallel angle recoding reduced iteration by 50 percent but also increases time duration.…”

A 1.05-V 62-MHz with 0.12-nW standby power SOTB-65 nm chip of 32-point DCT based on adaptive CORDIC

“…The idea of Adaptive CORDIC (ACor) was first introduced by Y. H. Hu and S. Naganathan in 1993 [18] to reduce the number of iteration step. Later, various improvements of the ACor implementation had been developed through the years [19,20,21,22]. The latest improvement of the ACor was the work of Hong-Thu Nguyen et al in 2015 [23], and the DCT implementation that based on it was also introduced in 2018 [24].…”