Estimation of two-dimensional frequencies using modified matrix pencil method

Fang Jiong Chen*, Carrson C. Fung, Chi Wah Kok, Sam Kwong

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


The problem of multiple two-dimensional (2-D) sinusoidal frequency estimation is considered. A modified matrix pencil method is proposed to simultaneously estimate the frequency pairs in the signal, thereby bypassing the computationally expensive pairing operation as seen in the literature. Simulation results show that the accuracy of the estimates for each frequency from our technique is better than or comparable to that of existing methods and the variance of the estimates are close to the Cramér-Rao bound. Simulation results also show that our method provides accurate and consistent frequency estimation results that other methods cannot provide with less or comparable computational complexity.

Original languageEnglish
Pages (from-to)718-724
Number of pages7
JournalIEEE Transactions on Signal Processing
Issue number2
StatePublished - 1 Feb 2007


  • Frequency estimation
  • Matrix pencil

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