Detection of a continuous pulse with unknown arrival time under low sampling rates

The paper investigates the detection and time of arrival estimation problem for a pulse embedded in noise under low sampling rates with variation in energy-to-noise ratio (ENR). It remains a classical problem in the detection of signals in radar applications and not much literature is available on it. The paper aims at investigating this issue subject to different sampling scenarios. Being a composite hypothesis testing problem, it is dealt with using the generalized likelihood ratio test (GLRT). Different approaches are used for the formation of the test setup, including noise whitening, downsampling or upsampling the input signal to improve the detection performance, but an increase in signal-to-noise ratio (SNR) remains the critical factor for detector enhancement.