Dh. Werner et Rj. Allard, The simultaneous interpolation of antenna radiation patterns in both the spatial and frequency domains using model-based parameter estimation, IEEE ANTENN, 48(3), 2000, pp. 383-392
The Pade rational function fitting model commonly used for model-based para
meter estimation (MBPE) in the frequency domain is enhanced to include spat
ial dependence in the numerator and denominator coefficients. This allow's
the function to interpolate an antenna radiated electric field pattern in b
oth the frequency and spatial domains simultaneously, such that a single se
t of coefficients ran be used to accurately reconstruct an entire radiation
pattern at any frequency in the fitting-model range. A simple procedure is
introduced for transforming interpolated electric fields into gain pattern
s using input impedance versus frequency curves also obtained via MBPE. The
utility of this method is demonstrated by applying it to a dipole antenna
over a frequency range of 150-950 MHz and using a polynomial representation
in theta for the coefficient spatial dependence. It is also used to estima
te radiation patterns for a three-element Yagi array between the frequencie
s of 470 and 500 MHz using a binomial representation for the spatial variat
ion that includes terms dependent on theta as well as phi. The use of this
method for interpolating radiation patterns has at least two significant ad
vantages; one being large compression ratios for the amount of data that mu
st be stored to accurately reproduce patterns and the other being a signifi
cant decrease in the amount of time required for modeling problems with lar
ge computational domains.