CORDIC Designs for Fixed Angle of Rotation

Meher, Pramod Kumar; Park, S. Y.

doi:10.1109/tvlsi.2012.2187080

Cited by 53 publications

(24 citation statements)

References 20 publications

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“…Other approaches for constant rotations [18]- [20] suggest to select a subset of CORDIC stages to approximate the rotation angle. This reduces both the rotation error and the number of micro-rotation stages.…”

Section: Review Of Multiplierless Rotatorsmentioning

confidence: 99%

“…For SCR with arbitrary scaling, a comparison is done based on the example in [20]. The work in [20] is based on finding the optimal sequence of CORDIC rotations.…”

Section: A Scr With Arbitrary Scalingmentioning

confidence: 99%

“…The work in [20] is based on finding the optimal sequence of CORDIC rotations. In the example, rotators for all odd degree angles between 1…”

Section: A Scr With Arbitrary Scalingmentioning

confidence: 99%

“…• ) where the approach in [20] only requires four adders. However, there are seven angles where the approach in [20] requires eight adders (four CORDIC rotations), where the proposed approach only requires six adders.…”

Section: A Scr With Arbitrary Scalingmentioning

confidence: 99%

“…In constant rotators, the a priori knowledge of the rotation angles allows for optimizing the implementation of the rotator. CORDIC-based approaches for constant rotators [18]- [23] are based on selecting stages of the conventional CORDIC [18]- [20] or increasing the amount of micro-rotation angles [21]- [23]. Multiplier-based approaches for constant rotators [4]- [7], [24]- [27] base on techniques to optimize realvalued constant multiplications [4]- [6], trigonometric identities [7], [24], optimization of the coefficient encoding [25], [26], and angle generation by a base-3 system [27].…”

mentioning

confidence: 99%

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Low-Complexity Multiplierless Constant Rotators Based on Combined Coefficient Selection and Shift-and-Add Implementation (CCSSI)

Garrido

Qureshi

Gustafsson

2014

IEEE Trans. Circuits Syst. I

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Abstract-This paper presents a new approach to design multiplierless constant rotators. The approach is based on a combined coefficient selection and shift-and-add implementation (CCSSI) for the design of the rotators. First, complete freedom is given to the selection of the coefficients, i.e., no constraints to the coefficients are set in advance and all the alternatives are taken into account. Second, the shift-and-add implementation uses advanced single constant multiplication (SCM) and multiple constant multiplication (MCM) techniques that lead to lowcomplexity multiplierless implementations. Third, the design of the rotators is done by a joint optimization of the coefficient selection and shift-and-add implementation. As a result, the CCSSI provides an extended design space that offers a larger number of alternatives with respect to previous works. Furthermore, the design space is explored in a simple and efficient way.The proposed approach has wide applications in numerous hardware scenarios. This includes rotations by single or multiple angles, rotators in single or multiple branches, and different scaling of the outputs.Experimental results for various scenarios are provided. In all of them, the proposed approach achieves significant improvements with respect to state of the art.

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Section: Review Of Multiplierless Rotatorsmentioning

confidence: 99%

“…For SCR with arbitrary scaling, a comparison is done based on the example in [20]. The work in [20] is based on finding the optimal sequence of CORDIC rotations.…”

Section: A Scr With Arbitrary Scalingmentioning

confidence: 99%

“…The work in [20] is based on finding the optimal sequence of CORDIC rotations. In the example, rotators for all odd degree angles between 1…”

Section: A Scr With Arbitrary Scalingmentioning

confidence: 99%

Section: A Scr With Arbitrary Scalingmentioning

confidence: 99%