RADAR AMBIGUITY FUNCTION, TIME-VARYING MATCHED-FILTER, AND OPTIMUM WAVELET CORRELATOR

We review the relation between the radar ambiguity function and the ma tched filter, and then introduce a geometric concept of the matched fi lter as a slice of the ambiguity function along a frequency-shift line . With the help of this geometric concept, the conventional matched fi lter can be generalized to a time-varying matched filter, which is equ ivalent to the optimum time-frequency correlator and can be implemente d with wavelet transforms. The application of the optimum wavelet corr elator to the inverse synthetic aperture radar is illustrated.