My research interests involve statistical signal processing and its applications. This includes problems in adaptive filtering, adaptive beamforming, signal detection, and estimation, equalization, and sensor array signal processing. My current interests lie in the development of algorithms for biomedical signal processing problems.
My group is developing and analyzing algorithms for reconstructing and modeling electrical activity in the brain from surface measurements of the magnetic and/or electric fields.Problems of interest include localizing sources of activity, reducing noise and interference, and evaluation of connectivity and causal relationships within brain networks.We also develop algorithms for study of the fetal heart and brain from measurements of the magnetic field external to the mother’s abdomen.
Development of algorithms for microwave-based detection, monitoring, and treatment of breast cancer is another major emphasis area.The physical basis for this work is the contrast in dielectric properties between normal and malignant tissue. In detection and monitoring applications, an antenna array transmits low power microwave signals into the breast and measures the corresponding scattered signals. Our algorithms process the scattered signals to localize strong scatterers, estimate and monitor changes in the dielectric properties of breast tissue, and characterize lesions. In treatment applications, we develop algorithms for focusing high power microwave signals to achieve therapeutic heating.