TH`ESE DE DOCTORAT DE L'UNIVERSITÉ PARIS 6 Spécialité ...

Abstract
This thesis is devoted to the analysis of algorithms of spatial or space-time filtering in two different
application contexts. In a first part of the document, we consider array processing algorithms with wideband
signals. Then, in a second part of the document, we consider processing of narrowband signals in
the context of ground-based rotating radar system.
In the first part of the document, our study has dealt with the main following points :
– in the framework of robustness study of adaptive narrowband beamforming with respect to bandwidth,
the computation in exact statistics of explicit expressions of the loss of performance in terms
of SINR when filtering non strictly narrowband signals and the relation between this SINR loss and
the criterium, currently used in literature to characterize a narrowband environment.
– the proof of an extension of Szegö’s theorem to the generalized eigenvalues of Hermitian block Toeplitz
matrices and multilevel Toeplitz block Toeplitz matrices generated by sequences of absolutely
summable elements and its application to the performance analysis, asymptotic in the number of
taps, in exact statistics, of maximum SINR space-time beamforming.
In the second part of the document, our study has dealt with the main following points :
– the design of non stationary spatial filtering algorithms, based on the computation of time-varying
filters, for rejection of jamming signals, in the context of a ground-based rotating radar systems,
and their performance analysis theoretically and by simulations.
– the design of space-time filtering algorithms, for joint jamming and clutter rejection, in the context
of a ground-based rotating radar systems, and their performance analysis theoretically and/or by
simulations.