Naveed Butt Robust Algorithms for Detection of Explosives and Narcotics Using Nuclear Quadrupole Resonance Abstract Nuclear quadrupole resonance (NQR) is a noninvasive, radio-frequency (RF) spectroscopic technique, able to detect unique signals from solid-state compounds containing quadrupolar nuclei, including many high explosives and narcotics. The technique has recently attracted attention from the pharmaceutical industry as, being a solid-state technique, it is able to capture important information on the chemical structure that is often lost in the more commonly used solution-based methods. In this talk, we present a brief introduction to the NQR detection method, its applications and limitations, followed by an overview of some of the advanced robust algorithms developed for NQR based detectors. In particular, a new robust multi-channel algorithm, ESPIRE, that uses spatial diversity to cancel the strong RF interferences present in NQR signals, will be presented.