A non-linear radar is disclosed that is able to detect non-linear target responses that are below the harmonic-noise floor of the radar. To accomplish this below-the-noise-floor sensitivity feature the proposal specifically addresses all of the problems commonly faced by non-linear radar such as linearity of the transmitter path, receiver path, and size, weight, and power, and cost (SWaP-C). The radar operates in both standard and nonlinear modes with signal processing that allows display of nonlinear alone, linear alone, or both types of backscatter. Different combinations of six methodologies allow customization to fit different application needs, from low-cost modest performance, to higher cost and extremely high performance.