Physics – Data Analysis – Statistics and Probability
Scientific paper
2006-12-05
Physics
Data Analysis, Statistics and Probability
Submitted to IEEE Transactions on Information Theory
Scientific paper
The variances of matched and sidelobe free mismatched filter estimators are given for arbitrary coherent targets in the case of aperiodic transmission. It is shown that mismatched filtering is often better than matched filtering in terms of estimation accuracy. A search strategy for finding general transmission codes that minimize estimation error and satisfy constraints on code power and amplitude range is then introduced. Results show that nearly perfect codes, with performance close to a single pulse with the same total power can be found. Also, finding these codes is not computationally expensive and such codes can be found for all practical code lengths. The estimation accuracy of the newly found codes are compared to binary phase codes of similar length and found to be better in terms of estimator variance. Similar transmission codes might be worth investigating also for sonar and telecommunications applications.
Damtie Baylie
Lehtinen Markku
Orispaa Mikko
Vierinen Juha
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