Interpolation of Missing Antenna Measurements or RCS Data Using the Matrix Pencil Method

Nicolas F. Reginelli, Tapan K. Sarkar, Magdalena Salazar-Palma

Research output: Chapter in Book/Entry/PoemConference contribution


When measuring the near-field of an antenna, often there are gaps in the measured data where the radiated fields are too low in magnitude to be measured or the measurement probe can't physically reach. Similarly in the measurement of RCS data such gaps can also be observed due to various physical limitations. To address this problem in the measurement of the field data, the antenna characteristic is measured over a certain elevation range, theta, up to the point where measurement becomes difficult or inaccurate. The gap in the data is then approximated using the matrix pencil method. By applying the matrix pencil method, the data is interpolated or extrapolated using estimated residues and poles of an exponential signal model. The Total Least Squares (TLS) implementation of the Singular Value Decomposition (SVD) is used to obtain the residues and poles from the data. Once these parameters are obtained, the nearfield can be estimated by a sum of complex exponentials. The far-field is obtained by using a spherical near to far-field transformation. A numerical example is provided to show the applicability of the matrix pencil method in interpolating a gap in antenna measurement data. Similar methodology can be applied to the RCS data.

Original languageEnglish (US)
Title of host publication2018 48th European Microwave Conference, EuMC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages4
ISBN (Electronic)9782874870514
StatePublished - Nov 20 2018
Event48th European Microwave Conference, EuMC 2018 - Madrid, Spain
Duration: Sep 25 2018Sep 27 2018

Publication series

Name2018 48th European Microwave Conference, EuMC 2018


Other48th European Microwave Conference, EuMC 2018


  • Matrix pencil method
  • Singular Value Decomposition (SVD)
  • Total Least Squares (TLS)
  • antenna measurement
  • interpolation

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Instrumentation
  • Radiation


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