Current Research: Information-Theoretic Limits from a Signal Processing Perspective
I am interested in the theoretical foundations and fundamental limits of modern wireless signaling techniques under practical constraints.
For discrete-time inputs, the capacity of frequency- and power-limited communication channels (e.g., the AWGN channel) has been well studied. In the real world, however, we communicate using continuous-time waveforms (called signals) and not with discrete numbers (called symbols).
Motivated by this gap, my work combines tools from wireless communications, signal processing, and information theory to study continuous-time channels under realistic constraints. My current focus is on the continuous-time AWGN channel, where the transmitter employs OFDM subject to bandwidth, peak power, and average power constraints.