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Tomás Lang, Elisardo Antelo, "CORDIC Vectoring with Arbitrary Target Value," IEEE Transactions on Computers, vol. 47, no. 7, pp. 736749, July, 1998.  
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@article{ 10.1109/12.709373, author = {Tomás Lang and Elisardo Antelo}, title = {CORDIC Vectoring with Arbitrary Target Value}, journal ={IEEE Transactions on Computers}, volume = {47}, number = {7}, issn = {00189340}, year = {1998}, pages = {736749}, doi = {http://doi.ieeecomputersociety.org/10.1109/12.709373}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
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TY  JOUR JO  IEEE Transactions on Computers TI  CORDIC Vectoring with Arbitrary Target Value IS  7 SN  00189340 SP736 EP749 EPD  736749 A1  Tomás Lang, A1  Elisardo Antelo, PY  1998 KW  Extended CORDIC functions KW  computer arithmetic KW  CORDIC KW  inverse kinematics computations KW  rotations. VL  47 JA  IEEE Transactions on Computers ER   
Abstract—The computation of additional functions in the CORDIC module increases its flexibility. We consider here the extension of the vectoring mode (angle calculation) so that the vector is rotated until one of the coordinates (for instance
[1] H.M. Ahmed,“Signal processing algorithms and architectures,” PhD dissertation, Dept. of Electrical Eng., Stanford Univ., June 1982.
[2] E. Antelo, J.D. Bruguera, T. Lang, and E.L. Zapata, "Error Analysis and Reduction for Angle Calculation Using the CORDIC Algorithm," IEEE Trans. Computers, vol. 46, no. 11, pp. 1,2641,271, Nov. 1997.
[3] E. Antelo, J.D. Bruguera, T. Lang, and E.L. Zapata, "Error Analysis and Reduction for Angle Calculation Using the CORDIC Algorithm," Internal Report, Dept. of Electrical and Computer Eng., Univ. of California at Irvine, 1996.
[4] V. Baykov, "Problems of Elementary Functions Evaluation Based on Digit by Digit (CORDIC) Technique," PhD thesis, Leningrad State Univ. of Electrical Eng., 1972 (a comment of the author about the approach used in his thesis to compute the ArcSin function is available athttp://www.ee.binghatom.edu/faculty/phatakhttp:/ /www.mkp.comhttp://devil.ece.utexas.edu/ tutorialdouble.html).
[5] T.C. Chen, "Automatic Computation of Exponentials, Logarithms, Ratios and SquareRoots," IBM J. Research and Development, vol. 16, pp. 380388, July 1972.
[6] J.M. Delosme, "VLSI Implementation of Rotations in PseudoEuclidean Spaces," Proc. 1983 IEEE Int'l Conf. ASSP, pp. 927930,Boston, Apr. 1983.
[7] J.M. Delosme, "The Matrix Exponential Approach to Elementary Operations," Advanced Algorithms and Architectures for Signal Processing, Proc. SPIE, pp. 188195, Aug. 1986.
[8] H. Hahn, D. Timmermann, B.J. Hosticka, and B. Rix, "A Unified and DivisionFree CORDIC Argument Reduction Method with Unlimited Convergence Domain Including Inverse Hyperbolic Functions," IEEE Trans. Computers, vol. 43, no. 11, pp. 1,3391,344, Nov. 1992.
[9] R.G. Harber, J. Li, X. Hu, and S.C. Bass, "The Application of BitSerial CORDIC Computational Units to the Design of Inverse Kinematics Processors," Proc. 1988 IEEE Conf. Robotics and Automation, pp. 1,1521,157, 1988.
[10] X. Hu and R.G. Harber,“Expanding the range of convergence of the CORDIC algorithm,” IEEE Trans. Computers, vol. 40, no. 1, pp. 1321, Jan. 1991.
[11] D. Konig and J.F. Bohme, "Optimizing the CORDIC Algorithm for Processors with Pipeline Architecture," Signal Processing V: Theories and Applications, pp. 1,3911,394, 1990.
[12] C. Krieger and B.J. Hosticka, "Inverse Kinematics Computations with Modified CORDIC Iterations," IEE Proc. Computer Digital Techniques, vol. 143, no. 1, pp. 8792, Jan. 1996.
[13] C. Krieger, B. Hosticka, T. Krupp, A. Kecskemethy, and M. Hiller, "An Integrated Environment for Fast Kinematic Processing," Internal Report, GerhardMercatorUniversität, Duisburg, Germany, 1997.
[14] T. Lang and E. Antelo, "CORDIC Vectoring with Arbitrary Target Value," Proc. 13th IEEE Symp. Computer Arithmetic, pp. 108115, July 1997.
[15] T. Lang and E. Antelo, "CORDICBased Computation of Arcos and Arcsin," Proc. 11th Int'l Conf. ApplicationSpecific Systems, Architectures, and Processors (ASAP97), pp. 132143, July 1997 (An extended report of this work is available atin the 1997 reports).
[16] T. Lang and E. Antelo, "ScaleFactor Compensation for the Extended CORDIC Vectoring," technical report, Dept. of Electrical and Computer Eng., Univ. of California at Irvine, 1998 (Available athttp://wwwgpaa.dec.usc.eshttp:/wwwgpaa.dec.usc.es in the 1998 reports).
[17] C.S.G. Lee and P.R. Chang, "A Maximum Pipelined CORDIC Architecture for Inverse Kinematic Position Computation," IEEE Trans. Robotics and Automation, pp. 445458, Oct. 1987.
[18] C. Mazenc,X. Merrheim,, and J.M. Muller,“Computing functions cos1 and sin1 using Cordic,” IEEE Trans. Computers, vol. 42, no. 1, pp. 118122, Jan. 1993.
[19] I.D. Walker and J.R. Cavallaro, "Parallel VLSI Architecture for RealTime Kinematics of Redundant Robots," Proc. 1993 IEEE Conf. Robotics and Automation, pp. 870877.