Study of phase quantization effects on synthesized array factor having a main beam and a prescribed null


  1. Caillet, M.
  2. Clénet, M.
  3. Antar, Y.M.M.
Corporate Authors
Defence R&D Canada - Ottawa, Ottawa ONT (CAN)
This document reports on investigations into the radiation characteristics of linear arrays with half-wavelength element spacing and digital phase shifters for an array factor having a main beam and a prescribed null. The weights of each element have been computed using the Minimum Variance Distorsionless Response method. In the considered scenario, the main beam is fixed and the prescribed null angular position varies between 1 and 60°. Different results are presented here, first for exact phase and different number of elements. The main beam angular position is shifted and the half-power beamwidth drops when the prescribed null is below the position of the first natural null of the array factor without prescribed null. The prescribed null depth curve presents maxima and minima whose angular positions correspond to the sidelobes and natural nulls of the array factor without prescribed null, respectively. Moreover, the depth envelope of the prescribed null maxima is related to the level of the sidelobes of the array factor without prescribed null. Based on these facts, the effect of phase quantization are studied. In particular, one can observe that the main beam angular position and half-power beamwidth errors are negligible. However, phase quantization affects the prescribed null position and depth. The larger the phase error, the greater the effect on the radiation pattern characteristics.

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Report Number
DRDC-OTTAWA-TM-2008-291 — Technical Memorandum
Date of publication
01 Dec 2008
Number of Pages

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