Ambiguity function and accuracy of the hyperbolic chirp: comparison with the linear chirp

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dc.contributor.authorBalleri, Alessio
dc.contributor.authorFarina, Alfonso
dc.date.accessioned2016-07-06T14:01:45Z
dc.date.available2016-07-06T14:01:45Z
dc.date.issued2016-07-06
dc.description.abstractIn this paper, we derive the Ambiguity Function (AF) of a narrowband and a wideband hyperbolic chirp. We calculate the second derivatives of the squared amplitude of the narrowband Complex Ambiguity Function (CAF) and use them to calculate the Fisher Information Matrix (FIM) of the estimators of the target range and velocity. The FIM is then used to calculate the Cramer-Rao Lower Bounds (CRLB) of the variance of the estimators and to ยด carry out an analysis of estimation performance and a comparison with the case of a liner chirp with a rectangular and a Gaussian amplitude modulation. The analysis and the calculations of the CRLB are also extended to a train of hyperbolic chirps. Results corroborate that at narrowband the hyperbolic chirp is less Doppler tolerant than the linear chirp and show that the hyperbolic chirp provides a comparable measurement accuracy to the linear chirp. Results at wideband corroborate the superior Doppler tolerance of the hyperbolic chirp with respect to that of the linear chirp.en_UK
dc.identifier.citationBalleri A, Farina A, Ambiguity function and accuracy of the hyperbolic chirp: comparison with the linear chirp, IET Radar Sonar and Navigation, Vol. 11, Issue 1, 2017, pp. 142-153
dc.identifier.urihttp://dspace.lib.cranfield.ac.uk/handle/1826/10102
dc.identifier.urihttp://dx.doi.org/10.1049/iet-rsn.2016.0100
dc.rightsAttribution-NonCommercial 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.titleAmbiguity function and accuracy of the hyperbolic chirp: comparison with the linear chirpen_UK
dc.typeArticleen_UK

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