Reconstructing a nonminimum phase response from the far-field power pattern of an electromagnetic system

Jie Yang, Jinhwan Koh, Tapan K. Sarkar

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


A new technique for reconstructing the nonminimum phase function from magnitude-only data is presented in this paper. The nonminimum phase function is reconstructed by utilizing the fact that the discrete Fourier transform of the far field power pattern is equal to the autocorrelation of the equivalent spatial current distribution on the electromagnetic structure. An all-pass filter representation is also used to reduce the computational load in computing the nonminimum phase function. The solution for the phase is not unique but is up to a linear phase delay between the actual phase function and the phase produced by the current approach. However, we generate a solution which has a spatially causal response, as the antennas are all finite in size. This approach is applied to the synthesis of nonminimum phase functions from the magnitude only antenna pattern. Several examples dealing with single antennas and antenna arrays have been simulated to illustrate the applicability of this approach.

Original languageEnglish (US)
Pages (from-to)833-841
Number of pages9
JournalIEEE Transactions on Antennas and Propagation
Issue number2
StatePublished - Feb 2005


  • Magnitude-only data
  • Nonminimum phase
  • Phase reconstruction

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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