Sensitivity of Capon Beamformer to Look-direction Errors-Case of Correlated Sources

Abstract

A first-order analysis of the sensitivity of the Capon beamformer to look-direction errors for correlated sources is presented in this paper. Expressions for the sensitivity function of the beam pattern with respect to the said error are obtained in terms of the sensor and source parameters. With the aid of these sensitivity functions, the effect of look-direction errors on the beampattern and on the SINR performance was studied and tested by simulation. This analysis assumes that the exact covariance matrix of array element outputs is known (the infinite data case).

Indexing terms:

• Array signal processing
• Beamforming
• Sensitivity analysis

Additional information

Notes on contributors

Shamla Mathur

Shamla Mathur, graduated from the Department of Electrical Engineering (Instrumentation as specialization), University College of Engineering, Osmania University, Hyderabad in 1984. She obtained her ME and PhD degrees from the Department of Electronics and Communication Engineering (ECE), Osmania University in 1986 and 1999 respectively. She started her career in the R&T Unit for Navigational Electronics, Osmania University as a Scientist/Lecturer and served for duration 1985–91, during which she was the Co-Investigator for several Projects sponsored by the Department of Electronics, Government of India, New Delhi. In 1991 she joined the Department of ECE, Osmania University as Lecturer. She is now working as Associate Professor in the same Department. Her interests are in Array Signal Processing, Kalman filtering, Control Systems and Navigational Electronics.

D C Reddy

D C Reddy, born on 11th January 1939 at Hyderabad. He obtained BE from Osmania University in the year 1962, MS from University of Santa Clara, California, USA in 1964 and PhD from University of Iowa, Iowa, USA in the year 1967. He served as Assistant Professor at the Department of Electrical Engineering, University of Iowa and at the Dept of Information Engineering, University of Illinois, Chicago, USA during 1967–69. Joined as Reader in the Department of Electronics and Communication Engineering (ECE), University College of Engineering, Osmania University in 1969. He elevated as Professor in 1977. He served as the Head, Dept of ECE during 1980-82; Head, Dept of Biomedical Engineering during 1993–96 & 1998-99; Project Director, Research and Training Unit for Navigational Electronics, OU during 1986-92; Dean, Faculty of Engineering, OU during 1992–94. Director, Information Dissemination Centre, University College of Engineering, OU during 1995-99; Director, Research and Training Unit for Navigational Electronics, OU during 1993-99; Principal, University College of Engineering (Autonomous), OU during 1995-99; Member, Executive Council, OU during 1996-99; presently he assumed charge as Vice- Chancellor, OU on 26th March, 1999. The American Biographical Institute has chosen his name for inclusion in the Seventh Edition of International Directory for Distinguished Leadership. The Directory was released in 1997. Besides he was Awarded Distinguished Alumnus Award of Department of Electronics and Communication Engineering, OU, Hyderabad, India (1985). He has guided 10 PhD scholars and published 80 research papers and 14 technical reports. He also edited a book on Recent Advances in Bio-Medical Engineering, (Tata Mc-Graw Hill- 1993). He is Life Member of the Bio-Medical Engineering Society of India, President, Bio-Medical Engineering Society of India, 1993–98 and Member, Sigma Xi, USA.