Radar signal design for estimation of positions of two closely spaced targets
Abstract
This paper discusses the design of the optimum radar signals for use in accurately estimating the locations of two targets whose approximate locations are known. The disturbance function which is a square sum of the first and second derivatives of ambiguity functions are used as an evaluation function in the signal design. It is shown that the disturbance function can be derived from Cramer-Rao's limit of the accuracy in estimating locations. From a set of signals whose entire energy and mean-square frequency deviations are constant, i.e., a set of signals with a constant accuracy in estimating the location of an isolated target, we select the optimum signal which minimizes the disturbance function. It is found that some signals have the same accuracy in estimating the location of two closely spaced targets as in estimating the location of an isolated target. The optimum signal to which certain conditions are imposed on the frequency-time domain is derived. It is shown that this optimum signal has better characteristics than the Gaussian signal.
- Publication:
-
Electronics Communications of Japan
- Pub Date:
- November 1975
- Bibcode:
- 1975JElCo..58...82M
- Keywords:
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- Matched Filters;
- Position Errors;
- Radar Detection;
- Radar Resolution;
- Spatial Filtering;
- Target Acquisition;
- Autocorrelation;
- Distribution Functions;
- Maximum Likelihood Estimates;
- Multipath Transmission;
- Optimization;
- Random Noise;
- Root-Mean-Square Errors;
- Signal To Noise Ratios;
- Waveforms;
- Communications and Radar