A compressive phase-locked loop

Stephen R. Schnelle, John P. Slavinsky, Petros Boufounos, Mark A. Davenport, Richard G. Baraniuk

Abstract: We develop a new method for tracking narrowband signals acquired via compressive sensing. The compressive sensing phase-locked loop (CS-PLL) enables one to track oscillating signals in very large bandwidths using sub-Nyquist sampling. A key feature of the approach is the fact that we perform the frequency tracking directly on the compressive measurements without ever recovering the signal. The CS-PLL has a wide variety of potential applications, including communications, phase tracking, and robust control.