Signal _hot_ — Radar

The matched filter output for a signal (s(t)) in white noise maximizes the Signal-to-Noise Ratio (SNR) and is given by the convolution with the time-reversed complex conjugate: (h(t) = s^*(-t)).

The transmitted signal is (s(t) = \textrect(t/\tau) \cos(2\pi f_0 t + \pi \fracB\tau t^2)). radar signal

[ s(t) = A \cdot \textrect\left(\fract\tau\right) \cos(2\pi f_0 t) ] The matched filter output for a signal (s(t))