Deterministic compressed sensing LFM radar for range-Doppler estimation of multiple moving targets

Abstract

In this paper, delay and Doppler parameters of multiple moving targets are estimated by exploring Compressed Sensing (CS) which enables the reconstruction of a sparse signal from a small set of measurements. No Side lobes appear with CS and hence no false alarms can occur. Also closely spaced targets could be detected with high resolution than traditional Matched Filter (MF). Deterministic DFT measurement matrix is employed, that is multiplied with the received echo signal and down sampled to obtain compressed measurements. For this deterministic sub-sampling is done by choosing first m rows rather than random selection of rows (random sub-sampling), so that matrix can be regenerated during reconstruction without the necessity for storage. Reconstruction algorithm Step Wise regression using False Discovery Rate (SWFDR) stopping rule could effectively optimize noise that leads to reduction in storage space and high rate ADC requirement drastically even in the presence of noise.