### Abstract

Language | English |
---|---|

Pages | 169-175 |

Journal | IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing |

Volume | 50 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Apr 2003 |

### Fingerprint

### Keywords

- QR
- RLS
- VLSI
- scheduling
- mapping
- systolic arrays

### Cite this

*50*(4), 169-175. https://doi.org/10.1109/TCSII.2003.810487

}

**Generic SoC QR array processor for adaptive beamforming.** / Zhaohui, L; McCanny, J V; Lightbody, G; Walke, R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Generic SoC QR array processor for adaptive beamforming

AU - Zhaohui, L

AU - McCanny, J V

AU - Lightbody, G

AU - Walke, R

N1 - Reference text: [1] L. C. Godara, “Application of antenna arrays to mobile communications, Part II: Beam-forming and direction-of-arrival considerations,” in Proc. IEEE, vol. 85, Aug. 1997, pp. 1995–1245. [2] S. Haykin, Adaptive Filter Theory. Englewood Cliffs, NJ: Prentice-Hall, 1995. [3] J. M. Cioffi and T. Kailath, “Fast recursive-least-square, transversal filters for adaptive filtering,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, pp. 998–1005, Feb. 1984. [4] S. F. Hsieh, K. J. R. Liu, and K.Yao, “A unified approach for QRD-based recursive least-squares estimation without square roots,” IEEE Trans. Signal Processing, vol. 41, pp. 1405–1409, Mar. 1993. [5] W. M. Gentleman and H. T. Kung, “Matrix triangularization by systolic array,” in Proc. SPIE (Real-Time Signal Processing IV), 1973, pp. 329–369. [6] J. G. McWhirter, “Recursive least squares minimization using systolic array,” in Proc. SPIE (Real-Time Signal Processing IV), vol. 431, 1983, pp. 105–112. [7] T. J. Shepherd and J. G. McWhirter, “Systolic adaptive beamforming,” in Array Signal Processing, S. Haykin, J. Litva, and T. J. Shepherd, Eds. New York: Springer-Verlag, 1993, ch. 5, pp. 153–243. [8] G. Lightbody, R. Walke, R. Woods, and J. McCanny, “Linear QR architecture for a single chip adaptive beamformer,” J. VLSI Signal Processing Syst. Signal, Image, Video Technol., vol. 24, pp. 67–81, 2000. [9] J. G. McWhirter, R. L. Walke, and J. Kadlec, “Normalized givens rotations for recursive least squares processing,” VLSI Signal Processing, vol. VIII, pp. 323–332, 1995. [10] R. L. Walke, “High sample rate givens rotations for recursive least squares,” Ph.D. dissertation, Univ. of Warwick, Coventry, U.K., 1997. [11] R. Dohler, “Squared given’s rotation,” IMA J. Numer. Anal., vol. II, pp. 1–5, 1991. [12] J. Gotze and U. Schwiegelshohn, “A square root free Givens rotation for solving least squares problems on systolic arrays,” SIAM J. Sci. Stat. Comput., vol. 4, pp. 800–807, 1991. [13] J. McCanny, D. Ridge, Y. Hu, and J. Hunter, “Hierarchical VHDL libraries for DSP ASIC design,” in Proc. IEEE Int. Conf. Acoust., Speech and Signal Processing, Munich, Germany, pp. 675–678. [14] C. M. Rader, “VLSI systolic arrays for adaptive nulling,” IEEE Signal Processing Mag., vol. 13, no. 4, pp. 29–49, 1996. [15] (1999, Aug.) DSiPWare: Floating point library data book. [Online]. Available: http://www.amphion.com.

PY - 2003/4/1

Y1 - 2003/4/1

N2 - A generic architecture for implementing a QR array processor in silicon is presented. This improves on previous research by considerably simplifying the derivation of timing schedules for a QR system implemented as a folded linear array, where account has to be taken of processor cell latency and timing at the detailed circuit level. The architecture and scheduling derived have been used to create a generator for the rapid design of System-on-a-Chip (SoC) cores for QR decomposition. This is demonstrated through the design of a single-chip architecture for implementing an adaptive beamformer for radar applications.

AB - A generic architecture for implementing a QR array processor in silicon is presented. This improves on previous research by considerably simplifying the derivation of timing schedules for a QR system implemented as a folded linear array, where account has to be taken of processor cell latency and timing at the detailed circuit level. The architecture and scheduling derived have been used to create a generator for the rapid design of System-on-a-Chip (SoC) cores for QR decomposition. This is demonstrated through the design of a single-chip architecture for implementing an adaptive beamformer for radar applications.

KW - QR

KW - RLS

KW - VLSI

KW - scheduling

KW - mapping

KW - systolic arrays

U2 - 10.1109/TCSII.2003.810487

DO - 10.1109/TCSII.2003.810487

M3 - Article

VL - 50

SP - 169

EP - 175

IS - 4

ER -