RESEARCH INTERESTS

• Two-parameter wide sense stationary processes (linear prediction theory, Wold decompositions, Gaussian-Markovian representation) (1986-1991).

 
• Linear system theory (lossless filters, connections with interpolation of holomorphic matrix-valued functions).

 
• Positive extension problems (covariance extension under spectrum constraints, covariance extension in the periodically correlated processes case).

 
• Blind deconvolution of multivariable linear systems and source separation.

 
• Cyclostationary signal analysis.

 
• Digital Communications: channel identification and equalization,  multi-user and multi-carrier communications systems, non cooperative telecommunications).

 
• Blind source separation of unknown digital communications.

 
• Large random matrices and applications to digital communications. See the following recent papers:

On the ergodic capacity of frequency selective MIMO systems equipped with MMSE receivers (Globecom08)

On the precoder design of flat fading MIMO systems equipped with MMSE receivers: a large system approach (submitted)

On the Capacity Achieving Covariance Matrix for Frequency Selective MIMO Channels Using the Asymptotic Approach (submitted)

On the capacity achieving transmit covariance matrices for MIMO Rician channels: an asymptotic approach (To appear in IEEE Trans. on Information Theory)

A new approach for mutual information analysis of large dimensional mutli-antenna channes (IEEE Trans. on Information Theory, 2008)

Deterministic equivalents for certain functionals of large random matrices (The Annals of Applied Probability, 2007)

A CLT for information theoretic statistics of Gram random matrices with a given variance profile (The Annals of Applied Probability, 2008)

Other related papers can be found on the web sites of my collaborators Walid Hachem and Jamal Najim