Optimum Symmetrical Weighting Factors for a Video MTI Radar

The problem of detecting a train of Doppler shifted pulses in a clutter-plus-noise environment is considered. The particular problem of the conventional video MTI radar with unambiguous range is discussed and the optimum Doppler filter obtainable by symmtrically tapering, or weighting, the received pulses is derived. The dual optimization criteria of maximum clutter-plus-noise rejection and minimum filter ripple in the passband are employed. Both equally and unequally spaced pulse trains are also considered.