The CORDIC algorithm is a well-known iterative method for the computation of vector rotation. For applications that require forward rotation (or vector rotation) only, the Extended Elementary Angle Set (EEAS) Scheme provides a relaxed approach to speed up the operation of the CORDIC algorithm. When determining the parameters of EEAS-based CORDIC algorithm, two optimization problems are encounte...

CORDIC or CO-ordinate Rotation DIgital Computer is a fast, simple, efficient and powerful algorithm used for diverse Digital Signal Processing applications. Primarily developed for real-time airborne computations, it uses a unique computing technique [7] which is especially suitable for solving the trigonometric relationships involved in plane co-ordinate rotation and conversion from rectangula...

In this paper the efficacy of this approach is studied for the implementation on FPGA. For this study, both non pipelined and 2 level pipelined CORDIC with 8 stages and using two schemes – one using adders in all the stages and another using multiplexers in the second and third stages. A 16 bit CORDIC for generating the sine/cosine functions is implemented using all the four schemes on both Xil...

This paper presents a hybrid COordinate Rotation DIgital Computer (CORDIC) algorithm for designs and implementations of the direct digital frequency synthesizer (DDFS). The proposed multiplier-less architecture with small ROM ( 4 16× -bit) and pipelined data path provides a spurious free dynamic range (SFDR) of more than 84.4 dBc. A SoC (System on Chip) has been designed by m . μ 18 0 1P6M CMOS...

This paper presents a CORDIC (coordinate rotation digital computer) algorithm and architecture for the rotation mode in which the directions of all micro-rotations are precomputed while maintaining a constant scale factor. Thus, an examination of the sign of the angle after each iteration is no longer required. The algorithm is capable to perform the CORDIC computation for an operand word-lengt...

Coordinate rotation digital computer (CORDIC) is an iterative algorithm to calculate various complex mathematical functions such as trigonometric, hyperbolic, logarithmic functions and so on. The iterative procedure of the conventional CORDIC algorithm is inefficient due to its rotation strategy. This research presents a resourceful rotation strategy to reduce the unnecessary iteration times. T...

Discrete Cosine Transform (DCT) is widely used in image and video compression standards. This paper presents low-power co-ordinate rotation digital computer (CORDIC) based reconfigurable discrete cosine transform (DCT) architecture. All the computations in DCT are not equally important in generating the frequency domain output. Considering the important difference in the DCT co-efficient the nu...

High performance architectures for the data intensive and latency restrained applications can be achieved by maximizing both parallelism and pipelining. In this paper, the CORDIC based hardware primitives of 3-D rotation with high throughput 3-D vector interpolation are presented. The proposed architecture for 3-D vector interpolator, which is based on the redundant CORDIC arithmetic, has been ...

The CORDIC algorithm is used in many fields of signal processing for computation of elementary functions. Its main advantages are versatility and simplicity. When implemented in a word parallel pipeline it yields the highest possible throughput. However, this solution is accompanied with increased hardware complexity and chip area requirements. The goal of this paper is to develop redundant COR...

Rotation of vectors through fixed and known angles has wide applications in robotics, digital signal processing, graphics, games, and animation. But, we do not find any optimized coordinate rotation digital computer (CORDIC) design for vector-rotation through specific angles. Therefore, in this paper, we present optimization schemes and CORDIC circuits for fixed and known rotations with differe...