IEEE Antennas and Propagation Society International Symposium. Digest. Held in Conjunction With: USNC/CNC/URSI North American R
DOI: 10.1109/aps.2003.1219825
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A new interpolation method for reconstructing non-uniformly spaced samples into uniform ones in planar near-field antenna measurements

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Cited by 5 publications
(4 citation statements)
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“…The most accurate interpolation algorithm was first derived by Yen [8]. Although Yen's interpolation algorithm is best in theory, practically there are severe difficulties in computing the interpolated values numerically such as the very high computer time and the ill condition phenomenon of Q 2 × Q 2 matrix (Q 2 is the number of samples) especially for cases with high quantity of samples [9]. Efforts have been made in order to decrease the time complexity of Yen's interpolation algorithm [9]- [12].…”
Section: Introductionmentioning
confidence: 99%
“…The most accurate interpolation algorithm was first derived by Yen [8]. Although Yen's interpolation algorithm is best in theory, practically there are severe difficulties in computing the interpolated values numerically such as the very high computer time and the ill condition phenomenon of Q 2 × Q 2 matrix (Q 2 is the number of samples) especially for cases with high quantity of samples [9]. Efforts have been made in order to decrease the time complexity of Yen's interpolation algorithm [9]- [12].…”
Section: Introductionmentioning
confidence: 99%
“…Using the fact that the measured field is a band limited function [18], the irregular near-field is interpolated to reconstruct a regular near-field grid, then, the data are processed using classical 2-D DFT algorithm to determine the far-field radiation pattern. This solution based on interpolating the near-field has been presented by many authors and exists in a variety of coordinate systems [19][20][21][22]. Wittmann in [23] have proposed an approach to deal with these irregularities by combining unequally spaced DFT [24], interpolation, and the iterative conjugate gradient algorithm.…”
Section: Introductionmentioning
confidence: 99%
“…But the most accurate interpolation algorithm was first derived by Yen [9]. Although Yen's interpolation algorithm is best in theory, practically there are severe difficulties in computing the interpolated values numerically such as the very high computer time and the ill condition phenomenon of Q 2 × Q 2 matrix (Q 2 is the number of samples) especially for cases with high quantity of samples [10]. Efforts have been made in order to decrease the time complexity of Yen's interpolation algorithm [10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%
“…Although Yen's interpolation algorithm is best in theory, practically there are severe difficulties in computing the interpolated values numerically such as the very high computer time and the ill condition phenomenon of Q 2 × Q 2 matrix (Q 2 is the number of samples) especially for cases with high quantity of samples [10]. Efforts have been made in order to decrease the time complexity of Yen's interpolation algorithm [10][11][12][13]. In this paper we introduce an optimal fast and simple interpolation technique for the reconstruction of regularly spaced samples from the irregularly distributed ones in planar near-field antenna measurements.…”
Section: Introductionmentioning
confidence: 99%