6
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

A Perturbation Theorem for Sensitivity Analysis of SVD Based Algorithms

&
Pages 73-77 | Published online: 02 Jun 2015

REFERENCES

  • R Kumaresan & D Tufts, Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise, IEEE Trans Acoustics, Speech and Signal Processing, vol ASSP-30, pp 833–840, Dec 1982.
  • R Kumaresan & D Tufts, Estimating the angles of arrival of multiple plane waves, IEEE Trans Aero and Elect Systems, vol AES-19, pp 134–139, Jan 1983.
  • D Tufts & R Kumaresan, Estimation of frequencies of multiple sinusoids making linear prediction perform like maximum likelihood, Proc of IEEE, vol 70, pp 975–989, Sept 1982.
  • B Porat & B Friedlander, A modification of the Kumaresan-Tufts method for estimating rational impulse response, IEEE Trans. Acoustics, Speech and Signal Processing, vol ASSP-35, pp 231–235, Feb 1987.
  • A Paulraj, R Roy & T Kailath, Estimation of signal parameters via rotational invariance techniques—ESPRIT, Proc 19 th Asilomar Conf on Circuit, System Compt, Asilomar, CA, Nov 1985.
  • R Roy, A Paulraj & T Kailath, ESPRIT—A subspace rotation approach to estimation of parameters of cisoids in noise, IEEE Trans Acoustics, Speech and Signal Processing, vol ASSP-34, pp 1340–1342, Oct 1986.
  • R Roy & T Kailath, ESPRIT and total least squares, Proc of the 21 st Asilomar Conf on Signal System and Compt, pp 297–301, Nov 1987.
  • M Zoltowski, Novel techniques for the estimation of array parameters based on matrix pencils, subspace rotations, and total least squares, Proc of IEEE ICASSP-88, vol 4, pp 2861–2864, April 1988
  • Y Hua & T K Sarkar, Statistical analysis of three high resolution to;hmques for radio direction estimation, Proc of IEEE ASSP Workshop on Spectrum Estimation and Modeling, Boston, MA, pp 161–164, Nov 1986.
  • Y Hua & T K Sarkar, Further analysis of three modern techniques for pole retrieval from data sequence, Proc of 30 th Midwest Symp on Circuits and Systems, Syracuse, NY, Aug 1987.
  • Y Hua & T K Sarkar, Perturbation analysis of TK method for harmonic retrieval problems, IEEE Trans on Acoustics, Speech, Signal Processing, vol 36, pp 228–240, Feb 1988.
  • Y Hua & T K Sarkar, Matrix pencil method and its performance, Proc of IEEE ICASSP-SS, vol 4, pp 2476–2479, 1988.
  • Y Hua, On techniques for estimating parameters of exponentially damped/undamped sinusoids in noise, PhD dissertation, Syracuse University, 1988.
  • B Porat & B Friedlander, On the accuracy of the Kumaresan-Tufts method for estimating complex damped exponentials, IEEE Trans Acoustics, Speech and Signal Processing, vol ASSP-35, pp 231–235, Feb 1987.
  • D Bhasker Rao, Perturbation analysis of a SVD based method for the harmonic retrieval problem, Proc of IEEE ICASSP-88, pp 624–627, Tampa, FL, 1985.
  • D Bhaskar Rao, Sensitivity analysis of state space methods in spectrum estimation, Proc of IEEE ICASSP-87, Dallas, TX, April 1987.
  • D Bhaskar Rao, Perturbation analysis of an SVD based linear prediction method for estimating the frequencies of multiple sinusoids, IEEE Trans Acoustics, Speech and Signal Processing, vol ASSP-36, July 1988.
  • R J Vaccaro & A C Kot, A perturbation theory for the analysis of SVD-based algorithms, Proc of IEEE ICASSP-87, Dallas, TX, April 1987.
  • A C Kot, S Parthasarathy, D W Tufts & R J Vaccaro, The statistical performance of state-variable and Prony's method in parameter estimation, Proc of IEEE ICASSP-87, Dallas, TX, April 1987.
  • G Golub & C VanLoan, Matrix Computations, Johns Hopkins, 1983.
  • J H Wilkinson, The Algebraic Eigenvalue Problem, Clarendon Press, Oxford, 1965.
  • Y Hau & T K Sarkar, A perturbation theorem for senstivity analysis of SVD based algorithms, Proc 32nd Midwest Symp Circuits and Systems, Champaign, IL, Aug 1989.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.