Radar Signal Updated -

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)).

After matched filtering, the output envelope is a function with first nulls at (\pm 1/B). LFM is Doppler-tolerant (slight frequency shifts cause small range shifts but minimal SNR loss). 4.2 Phase-Coded Signals The pulse is divided into sub-pulses (chips), each with 0° or 180° phase according to a binary sequence (e.g., Barker code, Gold code). Bandwidth (B \approx 1/t_chip), time-bandwidth product equals the number of chips. radar signal

The transmitted signal is (s(t) = \textrect(t/\tau) \cos(2\pi f_0 t + \pi \fracB\tau t^2)). The matched filter output for a signal (s(t))