An efficient subspace algorithm for 2-D harmonic retrieval

  • Authors:

  • F. Vanpoucke;M. Moonen;Y. Berthoumieu

  • Affiliations:

  • ESAT, Katholieke Univ., Leuven, Belgium;ESAT, Katholieke Univ., Leuven, Belgium;Dept. of Electr. Eng., Tohoku Univ., Sendai, Japan

  • Venue:
  • ICASSP '94 Proceedings of the Acoustics, Speech, and Signal Processing,1994. on IEEE International Conference - Volume 04
  • Year:
  • 1994

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Abstract

This paper addresses the problem of estimating the frequency content of a two-dimensional object, e.g. an image or a set of multi-sensor snapshots, stored in a matrix. The basic assumption is that the data matrix consists of a sum of 2-D complex sinusoids. Our algebraically coupled matrix pencils (ACMP) algorithm splits the 2-D problem into two related 1-D estimation problems. In each direction the frequencies are estimated using a computationally efficient ESPRIT-like subspace algorithm. A further increase in efficiency is due to the algebraic pairing of the horizontal and vertical estimates.