Design of MTD filters with maximal average improvement factor

Moving Target Detection (MTD) radar, to detect a target of unknown Doppler frequency, employs a filter bank where each filter corresponds to an assigned part of the unambiguous Doppler frequency range. In this correspondence the optimal MTD filters are designed. The optimality criterion is the maximization of the SNR improvement factor averaged over range of Doppler frequencies assigned to the filter. The noise component of the signal can consist of white receiver noise, clutter echoes and interferences. The obtained result is discussed and a link with the Kaiser window is established.