Reconstruction of non-minimum phase function from only amplitude data

Jinhwan Koh, Young Ki Cho, Tapan Kumar Sarkar

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

A procedure for a non-minimum-phase reconstruction from magnitude data alone is presented. A non-minimum-phase component is recovered, based on the fact that the auto-correlation of the time domain sequence is equal to a discrete cosine transformation of the square of the magnitude response. An all-pass filter is also utilized in order to reduce the optimization variables. Since a non-minimum-phase reconstruction does not have a unique solution, a causal time-domain response is selected along with the smallest poles in magnitude. This theory is applied to antenna pattern synthesis and scattering parameters of microwave filters to illustrate the applicability of the proposed approach.

Original languageEnglish (US)
Pages (from-to)212-216
Number of pages5
JournalMicrowave and Optical Technology Letters
Volume35
Issue number3
DOIs
StatePublished - Nov 5 2002

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Keywords

  • Amplitude data
  • Cepstrum theorem
  • Non-minimum phase reconstruction

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics

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