A Square-Root Forward Backward Correlation-based Projection Approximation for Subspace Tracking

신호부공간 추정 성능 향상을 위한 전후방 상관과 제곱근행렬 갱신을 이용한 COPAST(correlation-based projection approximation for subspace-tracking) 알고리즘 연구

  • Received : 2010.10.01
  • Accepted : 2011.02.21
  • Published : 2011.03.25

Abstract

In this paper, we propose a correlation-based subspace estimation technique, which is called square-root forward/backward correlation-based projection approximation subspace tracking(SRFB-COPAST). The SRFB-COPAST utilizes the forward and backward correlation matrix as well as square-root recursive matrix update in projection approximation approach to develop the subspace tracking algorithm. With the projection approximation, the square-root recursive FB-COPAST is presented. The proposed algorithm has the better performance than the recently developed COPAST method.

본 논문에서는 상관계수를 바탕으로 신호부공간을 추정하는 COPAST(correlation-based projection approximation subspace tracking)의 성능을 향상시키기 위하여 상관계수를 구하는 부분을 순방향 신호 벡터로부터 상관계수를 구하고 동시에 역방향 신호 벡터에서도 상관계수를 구하여 신호 부공간을 추정하는 방법을 제안한다. 또 매번 갱신되는 상관행렬의 안정성을 도모하고자 제곱근 행렬 갱신을 하도록 하였다. 컴퓨터 모의 실험을 통해서 제안된 방법이 기존의 COPAST에 비해서 약 5dB의 신호 부공간 추정 정확도에 향상이 있었음을 확인하였다.

Keywords

References

  1. Bin Yang, "Projection Approximation Subsp- ace Tracking", IEEE Trans. Signal Proc., 1995, 43, (1), pp. 95-107 https://doi.org/10.1109/78.365290
  2. Jung-Lang Yu, "A Novel Subspace Tracking Using Correlation-Based Projection Approximation", Signal Procerssing, 2000, 80, pp. 2517-2525. https://doi.org/10.1016/S0165-1684(00)00138-9
  3. Tony Gustafsson, "Instrumental Variable Subspace Tracking Using Projection Approximation", IEEE Trans. Signal Proc., 1998, 46, (3), pp. 669-681. https://doi.org/10.1109/78.661334
  4. Jun-Seok Lim, Seongwook Song and Koeng -Mo Sung, "Variable forgetting factor PASTd algorithm for time-varying subspace estimation", Electronics Letters, 2000, 36, (16), pp.1434-1435. https://doi.org/10.1049/el:20000989
  5. Boaz Porat and Benjamin Friedlander, "The Square-Root Overdetermined Recursive Instrumental Variable Algorithm", IEEE Trans. Automatic Control, 1989, 34, (6), pp.656-658. https://doi.org/10.1109/9.24243
  6. R.O. Schmidt, "Multiple Emitter Location and Signal Parameter Estimation', IEEE Trans. Antennas Prop., 1986, 34, (3), pp. 276-280. https://doi.org/10.1109/TAP.1986.1143830
  7. R. Kumaresan, D.W. Tufts, "Estimation the Angles of Arrival of Mutiple Plane Waves", IEEE Trans. Aerosp. Electron. System, 1983, 19, (1), pp 134-139.
  8. P. Stoica and R. L. Moses, Spectral Analysis of Signals, Prentice Hall, Upper Saddle River, N.J., 2005.
  9. Srinath Hosur, Ahmed H. Tewfik and Daniel Boley, "ULV and Generalized ULV Subspace Tracking Adaptive Algorithms", IEEE Trans. Signal Proc., 1996, 46, (5), pp. 1282-1297.