Complete Frequency and Temporal Characterization of Antennas using the Singularity Expansion Method – With an extended part with Radar Cross Section Method


  1. Damien, R.
  2. Yahia, M.M.A.
Corporate Authors
Defence Research and Development Canada, Ottawa Research Centre, Ottawa ON (CAN);Royal Military Coll of Canada, Kingston ONT (CAN)
This document reports a method for completely characterizing antennas using the Singularity Expansion Method (SEM). This technique permits to fully model the Antenna Transfer Function in the frequency domain, or the Antenna Impulse Response in the time domain, from the Matrix-Pencil method for example, based on a few set of parameters called “poles” and “residues”. Moreover, this approach presents the main advantage to be used in both the frequency and time domain. Under those conditions, Ultra-Wide Band (UWB) systems using frequency codes – as Orthogonal Frequency-Division Multiplexing (OFDM) – or pulse modulations can be easily and quickly modeled into a single model. This technique allows using an arbitrary excitation the characterization of antennas in terms of radiation pattern, gain, directivity, efficiency and group delay in the frequency domain and, in terms of peak value of the envelope, envelope width, ringing and fidelity factor in the time domain. Performance of this approach is examined for several configurations of an UWB antenna studied at RMC.

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antenna characterization;singularity expansion method;SEM;ultra wide-band;UWB;radar cross section;RCS;transfer functions;impulse response
Report Number
DRDC-OTTAWA-CR-2013-082 — Contract Report
Date of publication
01 Dec 2013
Number of Pages
Electronic Document(PDF)

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