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Errors

Spherical-Scanning Measurements: Propagating Errors through the Near-to Far-Field Transformation
R. Wittmann,M. Francis, November 2004

We estimate uncertainties in the test antenna transmitting function due to uncertainties in the near- field measurements and in the probe receiving function.

Effects of Positioning Errors on the Circular image-Based Near Field-to-Far Field RCS Transformation
S. Rice,I. LaHaie, November 2004

In this paper, we present an analysis of the impact of positioning errors on the performance of the GDAIS circular image-based near field-to-far field RCS trans­formation (CNFFFT). The analysis is part of our con­tinuing investigation into the application of near field­to-far field transformations to ground-based signature diagnostics. In particular, the analysis focuses on the errors associated with ground-to-ground, near-field, whole-body measurements where the radar moves on a nominally circular path around the target. Two types of positioning errors are considered: slowly-varying, long term drift and rapidly-varying, random perturbations about the nominal circular path. The analyses are con­ducted using simulated data from a target comprised of an array of generalized point scatterers which model both single and multiple interactions on the target. The performance of the CNFFFT was evaluated in terms of the angle sector cumulative RCS statistics. The analyses were performed as a function of frequency for varying amounts of position error, both with and without (ap­proximate) motion compensation. As expected, the re­sults show that the CNFFFT is significantly more sensi­tive to rapidly-varying position errors, but that accept­able performance can be achieved with motion compen­sation provided an accurate estimate of the errors is available.

RCS measurement Errors Associated with Calibration Spheres on Foam Columns
A. Langford,G. Szatkowski, R. Vaughan, November 2004

There is a trend within the RCS community to use squatty cylinders in place of spheres for calibration. A higher degree of accuracy can be achieved; however, cylinder calibrations require much more precision in the alignment procedures. This effort is doubled when the dual calibration target is also a cylinder. The dual calibration test article could be a sphere thus reducing calibration efforts as long as good correlation exists between theory and measurement sphere data. A series of measurements were collected at the NASA Langley Research Center Compact Range Pilot Facility to study measurement errors of spheres atop foam columns to determine their feasibility for dual calibration use.

Techniques for Measuring Adaptively Cohered Distributed Antenna Apertures
J. Kemp,C. Kerce, G. Hampton, J. Holder, November 2004

An internal research and development project at the Georgia Tech Research Institute (GTRI) focused on cohering multiple apertures into a single distributed aperture. Cohered distributed aperture antenna patterns were collected on the GTRI far-field range for a 1.5 GHz bandwidth at X-band frequencies. Both 1-way and 2-way antenna patterns were measured, with the 1-way antenna pattern measurement requiring coherence on receive only and the 2-way antenna pattern measurement requiring coherence on transmit and receive. The resulting data were compared with the ideal angular resolution and power-aperture gain product improvements from a perfectly cohered distributed aperture, and the results are presented. As measurement techniques were developed for collecting 1-way and 2-way antenna pattern data, sources of potential errors in measurement collection and aperture coherence were identified, with potential methods of error mitigation outlined.

Antenna Array Measurement Using Multi-port VNA
C. Zhu, November 2004

Measurements of antenna array’s patterns are usually taken with feed networks, but for some digital beam forming arrays, feed networks are not included. To measure such arrays in traditional way, we must design a feed network first, which is too complex and inefficient when steering is required. A VNA can act as a multi­channel receiver to form a digital beam forming array for testing. Today’s VNA may have many test ports (for example, 9-ports in Agilent E5091A multiport test set and 11-ports in Advantest R3986 multiport test set.) designed for multiport devices, which is very suitable for measuring small arrays without using feed networks. Another advantage of this method is that it can eliminate errors from imperfect feed networks. Automatic measurement program is required to calculate array patterns from S-parameters, which is easily developed using Labview or Matlab. Test results of a 3-elements adaptive anti-jam array with different jam DOA are demonstrated.

Implementation of Phase Retrieval Techniques for Phased Array Antenna Measurements
V. Markov,A. Filonenko, November 2004

For enhancing the performance of existing near field antenna test facilities it is quite reasonable to use both conventional (the amplitude and phase measurements) and the phaseless measurements techniques during electrically scanning phased array antennas (PAA) testing. This simple yet critical approach helps to improve the quality of PAA alignment and testing reducing measurement errors and saving costs. In this way many difficulties related to precise phase measurements are overcome. Both simulation and measurement results will be presented to demonstrate the utility of such approach to PAA alignment and determination of its parameters. Comparison will be made between the PAA patterns for electrically scanned beams calculated using traditional near field - far field (NF/FF) transformations, the phaseless methods and the results obtained applying both measurement techniques.

Error Compensation for Radome Measurements
S. McBride, November 2004

Geometries for measuring radome characteristics can usually be split into two categories. The first category always has the antenna inside the radome pointing along the range axis. The second category has the antenna maintaining a fixed relationship with respect to the radome during each scan of data. A facility can generally be designed to minimize measurement errors in one of the two geometries, but not both. Many facilities that permit collection of data in both geometries would benefit from the ability to dynamically capture data that lead to measurement errors, then compute and remove the associated errors. This paper discusses some of the primary error contributors in a dual-geometry radome measurement system, and suggests some mechanisms for capturing and potentially removing those errors.

Analysis of Ground-Bounce Illumination Errors on Ground-to-Ground Diagnostic Measurements of Aircraft
I. LaHaie,S. Rice, November 2004

We present a first-order analysis of the RCS errors resulting from non-uniform ground-bounce illumination in mobile, ground-to-ground, diagnostic RCS measurements of aircraft. For the case of a non-planar ground surface, these errors are a function of both aspect angle and position on the target. We quantify the errors in terms of their impact on the sector mean RCS as a function of position on the target. For typical targets, we show that the mean RCS error increases significantly for points displaced (either horizontally or vertically) from the calibration point. Conversely, the sector mean RCS is relatively insensitive to small-scale variations in the height of the ground, even though the errors at a single frequency and aspect angle can be quite large.

Implementation of a Geometric-Error Correction System for Extremely High Probe Position Accuracy in Spherical Near-Field Scanning
S. Pierce,J. Langston, November 2004

In this paper, we describe a new method for improving the true-position accuracy of a very large, spherical near- field measurement system. The mechanical positioning subsystem consists of 10-meter diameter, 180 circular- arc scanner and an MI Technologies MI-51230 azimuth rotator and position controller. The principle components of the error correction method are the error measurement system, the position correction algorithm, and a pair of very high precision, mechanical error correction stages. Using a tracking laser interferometer, error maps are constructed for radial, planar and elevation errors. A position correction algorithm utilizes these discrete-point error maps to generate error correction terms over the continuous range of the elevation axis. The small position correction motions required in the radial and planar directions are performed using the mechanical correction stages. Corrections to the position of the elevation axis are made using the primary elevation axis drive. Results are presented that show the geometry of the spherical scanning system before and after error correction. It is observed that the accuracy of the radial, planar and elevation axes can be significantly improved using the error correction system.

Aspects of Probe Correction for Odd-Order Probes in Spherical Near-Field Antenna Measurements
T. Laitinen,O. Breinbjerg, S. Pivnenko, November 2004

Probe correction aspects for the spherical near-field antenna measurements are investigated. First, the spherical mode analyses of the radiated fields of several antennas are performed. It is shown that many common antennas are essentially so-called odd-order antennas. Second, the errors caused by the use of the first-order probe correction [1] for a rectangular waveguide probe, that is an odd-order antenna, are demonstrated. Third, a recently developed probe correction technique for odd-order probes is applied for the rectangular waveguide probe and shown to provide accurate results.

Estimating the Uncertainties Due to Position Errors in Spherical Near-Field Measurements
A.C. Newell (Nearfield Systems Inc.), November 2003

Probe position errors, specifically the uncertainty in the theta and phi position of the probe on the measurement sphere, are one of the sources of error in the calculated far-field and hologram patterns derived from spherical near-field measurements. Until recently, we have relied on analytical results for planar position errors to provide a guideline for specifying the required accuracy of a spherical measurement system. This guideline is that the angular error should not result in translation along the arc of the minimum sphere of more than ?/100. As a result of recent simulation and analysis, expressions have been derived that relate more specifically to spherical near-field measurements. Using the dimensions of the Antenna Under Test (AUT), its directivity, the radius of the sphere (the minimum sphere) enclosing all radiating surfaces and the frequency we can estimate the errors that will result from a given position error. These results can be used to specify and design a measurement system for a desired level of accuracy and to estimate the measurement uncertainty in a measurement system.

Axial Ratio Errors When Using Linearly Polarized Probes in Planar Near-Field Measurements
P.R. Rousseau (The Aerospace Corporation),C.M. Turano (The Aerospace Corporation), M.S. Yonezaki (The Aerospace Corporation), W.C. Wysock (The Aerospace Corporation), November 2003

For a planar near-field range, it is sometimes convenient to use a linearly polarized probe to measure a circularly polarized antenna. The quality of the circular polarization of the test-antenna is determined by the measured axial ratio. This requires the amplitude and phase from two near-field scans, one scan with the probe polarization oriented horizontally and another vertically. A lateral probe position error between the horizontal and vertical orientations can occur if the probe is not aligned properly with the probe polarization rotator. This particular probe position error affects the accuracy of the axial ratio in the main beam if the beam of the test antenna is not perpendicular to the scan plane. This paper presents analysis and measurement examples that demonstrate the relationship between the errors in the axial ratio and the lateral probe position. It is shown that the axial ratio, within the main beam, is not sensitive to the lateral probe position error when the beam is normal to the scan plane. However, the error in the axial ratio in the main beam can be quite significant with a small lateral probe position error if the antenna beam is tilted at an angle with respect to the scan plane. A simple phase correction algorithm is presented that is useful for measured data from an electrically large aperture.

A Highly Automated Approach to Obtaining Accurate Circularly Polarized Antenna Gain
M.C. Baggett (MI Technologies), November 2003

At a Department of Defense antenna measurement laboratory, an important measurement is the accurate measurement of gain for circularly polarized antennas. An additional requirement is that a wide population of engineers and technicians that do not spend a significant amount of time using the facility make the measurements as they test the antennas for their projects. The objective was to create a highly automated, accurate test structure that was easily used by visiting engineers to make high quality measurements. Consistency of results across the user population was a paramount requirement. This paper describes the instrumentation and software used to meet this objective. The paper describes basic measurement techniques, the exploitation of instrumentation capabilities to make the measurements, the software processing of the data and the graphical user interface that was developed to make the test process essentially a “one button” operation. Significant components in the test scenario were the ability to accurately collect data on a linearly polarized Standard Gain Horn in orthogonal polarizations without inducing errors caused by various axes of motion and to provide channel imbalance correction for the orthogonal channels of the instrumentation and range.

Compact Range Performance Effects in Interferometer Testing and Related Statistical Analysis of Field Probe Measurements
J.F. Aubin (ORBIT/FR, Inc.),M.A. Bates (ORBIT/FR, Inc.), November 2003

This paper describes and discusses relevant performance issues concerning the quiet zone illumination of a baseline interferometer antenna using a compact range system. Typical baseline interferometer antennas are utilized for precision direction finding applications, and are designed on the principle of detecting the incoming phase wave front as a means to determine the direction of arrival of the detected signal. Quiet zone illumination of the antenna using a compact range deviates from the ideal illumination by introducing some levels of amplitude and phase taper and ripple. Unwanted relative differences in the illumination of the individual elements of the interferometer antenna will introduce errors in the subsequent analysis of the direction finding accuracy and precision of the array. Sources of these errors are examined in this paper, and relevant compact range performance trade-offs are discussed to optimize the range. Considerations are given to both utility of the range, as many interferometer antennas are broadband EW type arrays, and thus require single feed, single test broadband measurements, as well as to the accuracy in characterizing the performance of the interferometer over its full operating bandwidth. In addition, this paper discusses the analysis of high precision compact range field probe data, and the subsequent application of relevant statistical parameters to characterize the data. The analysis techniques utilized highlight the important performance features required of the compact range to effectively test baseline interferometers. The implementation of an automated utility is described that applies the relevant corrections, and applies the statistical algorithms, to the data to effectively reduce the data and summarize it in a fashion that provides immediate utility to the field probe test operator.

Numerical Analysis of Transmission Line Techniques for RF Material Measurements
J.W. Schultz (Georgia Tech Research Institute), November 2003

Microwave measurement of intrinsic material properties can be performed with transmission-line fixtures such as waveguides or free-space focused beams. However, analyses of measured data usually assume idealized sample geometries. In this paper, Finite Difference Time Domain (FDTD) calculations are used to study the systematic error from non-ideal geometries, in free-space and waveguide measurements of impedance sheets. Analytical models of these errors are developed. FDTD analysis can be used to numerically invert intrinsic material properties from measured freespace transmission coefficients. The focused beam is simulated in FDTD with a sum of weighted plane waves with a Gaussian spectral distribution. The transmission coefficient is predicted by propagating the focused beam through a material slab or sheet; and the dielectric or impedance properties are derived from the transmission coefficient. The focused beam diameter is preferably several wavelengths, which requires large sample size (>1 square meter) at low frequencies. A modified focused beam technique is described that incorporates a finite aperture in a metal groundplane to measure samples with reduced dimensions, even at low frequencies. Calculations are compared to laboratory measurements. FDTD calculations are also applied to study the effect of gaps in waveguide fixtures, since gap and edge effects in both waveguide or free-space aperture fixtures contribute to measurement error.

Extreme Accuracy Tracking Gimbal for Radome Measurements
J.M. Hudgens (MI Technologies),G.W. Cawthon (MI Technologies), November 2003

Modern radome measurements often involve scanning the radome in front of its antenna while the antenna is actively tracking an RF signal. Beam deflections caused by the radome are automatically tracked by the antenna and its associated positioning system, which is typically a two-axis (pitch & yaw) gimbal. The motion required to accurately track the beam can be very demanding of the gimbal. High structural stiffness, zero drivetrain backlash, and extremely accurate angle measurement are all necessary qualities for radome beam deflection measurement. This paper describes a new, advanced, two-axis gimbal that embodies those qualities. The new gimbal incorporates direct-drive motors to achieve zero backlash. The motors are mounted directly to the rotating gimbal elements, thereby eliminating the usual causes of drivetrain compliance. Rated torque of the motors is not high, and the antenna is therefore fully counterweighted. Each of two optical encoders is mounted on the same rotating gimbal element as its associated motor. The encoders are directly mounted; no flexible coupling is used. The antenna is mounted to those same rotating elements. Antenna positioning error due to windup of the structure and drivetrain is virtually eliminated. Eccentricity of the encoder disk, which is the primary source of direct-drive encoder errors, is adjusted by virtue of a remarkable in situ process.

Development of a MATLAB Toolbox to Investigate Near-Field Antenna Errors
A. Muthukumarasamy (Utah State University),R.J. Jost (Utah State University), November 2003

We present the results of developing a MATLABbased Near-field Antenna measurements toolbox. The purpose of this package is two-fold. First, it functions as a training tool, to help the user understand the near-field measurement process. Second, it can also function as an analysis aid, providing insight into the effect of errors on the measurement process. Results obtained from using the beta version of the toolbox are presented and the toolbox will be available as a download from the website listed in the paper, to solicit feedback from the measurement community.

Phase-Dependent RCS Measurements in the Presence of Outliers
L.A. Muth (National Institute of Standards and Technology),T. Conn (EG&G at NRTF), November 2003

Coherent radar cross section measurements on a target moving along the line-of-sight in free space will trace a circle centered on the origin of the complex (I,Q) plane. The presence of additional complex signals (such as background, clutter, target-mount interactions, etc.), which do not depend on target position, will translate the origin of the circle to some complex point (I0,Q0). This type of phase-dependent I-Q data has been successfully analyzed. However, the presence of outliers can introduce significant errors in the determination of the radius and center of the IQ circle. Hence, we implement a combination of a robust and efficient Least-Median Square (LMS) and an Orthogonal Distance Regression (ODR) algorithm is used (1) to eliminate or to reduce the influence of outliers, and then (2) to separate the target and background signals. This technique is especially useful at sub-wavelength translations at VHF, where spectral techniques are not applicable since only a limited arc of data is available. We analyze data obtained as an Arrow III target moves relative to its supporting pylon. To demonstrate the effectiveness of the technique, we introduce rf interference signals into S band data and show that the uncontaminated parameters can be recovered with acceptable uncertainties.

Development of a MATLAB Toolbox to Assist in the Process of RCS Range Calibration
R.J. Jost (Utah State University),B.M. Welsh (Mission Research Corporation), November 2003

Over the past few years, range certification activities have become more commonplace, as industry, government and academia have embraced the process and acted to implement documented procedures at their facilities. There is now a significant amount of documentation laying out the process, as well as templates to assist ranges in developing their range books. To date, however, there have been fewer examples of useful tools to assist the ranges in better understanding how the process will affect their specific range. The authors have developed a first generation MATLAB toolbox designed to provide ranges a “what-if” capability to see the impact of specific range errors on the range’s operations. Included within the toolbox are several types of additive and multiplicative errors, as well as means of modeling various aspects of radar operation.

Test and Assessment of a Direction Finding Antenna Measured on the Nose of an MH-47A Helicopter
S. Abbott (US Army), November 2003

One basic Direction Finding (DF) technique for Radar is Amplitude Based Comparison DF. Multiple directional antennas are placed around an aircraft to get a 360 deg view of the area. By placing these antennas on the aircraft, the antennas are subjected to reflections from the aircraft, which distorts the antenna characteristics. This antenna distortion causes errors in the measurement of the angle of arrival. The work presented here describes the measurement of the antenna characteristics of a cavity backed spiral antenna both by itself and attached to the nose of an MH- 47A helicopter nose measured in an anechoic chamber. The spiral antenna’s pattern was changed when it was measured on the helicopter. The effect this change in pattern has on the DF accuracy is discussed.







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