Ambiguity function, polynomial phase signals and higher-order cyclostationarity
- 31 December 2002
- proceedings article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 173-177
- https://doi.org/10.1109/host.1993.264573
Abstract
By establishing a relationship between the classical ambiguity function and the sample cyclic cross correlation, it is shown that the former provides consistent estimates of delay and Doppler when the target echoes are observed in stationary noise. A novel fourth-order ambiguity function is proposed for estimating the delay and Doppler from random modulated Doppler-spread echoes. It is also shown that the conventional yields inconsistent estimates when the modulating process is zero-mean. Next, a method exploiting cyclostationarity of the signal is proposed for estimating the position and track of a generally maneuvering target or source. The received signal in this case can be modeled as a random amplitude polynomial phase process. Because of the statistical framework, the proposed approach also allows multiple signals, is theoretically insensitive to any stationary noise and provides a sequential estimation procedure. Author(s) Shamsunder, S. Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA Giannakis, G.B.Keywords
This publication has 10 references indexed in Scilit:
- A technique for estimating the parameters of multiple polynomial phase signalsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Nonparametric polyspectral estimators for kth-order (almost) cyclostationary processesIEEE Transactions on Information Theory, 1994
- On separating amplitude from frequency modulations using energy operatorsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1992
- Time-varying higher order spectraPublished by SPIE-Intl Soc Optical Eng ,1991
- Instantaneous amplitude and frequency estimation: performance bounds and applications to source localizationPublished by SPIE-Intl Soc Optical Eng ,1991
- Range and Doppler information from fourth-order spectraIEEE Journal of Oceanic Engineering, 1991
- Estimation and classification of polynomial-phase signalsIEEE Transactions on Information Theory, 1991
- Random modulation: A reviewIEEE Transactions on Acoustics, Speech, and Signal Processing, 1983
- Estimation of differential Doppler shiftsThe Journal of the Acoustical Society of America, 1979
- Joint estimation of delay, Doppler, and Doppler rateIEEE Transactions on Information Theory, 1960