On the synthesis problem for a waveform having a nearly ideal ambiguity surface É

In this paper we consider the problem of con- structing a waveform with globally optimal ambiguity sur- face properties in a region surrounding the main lobe. We consider Hermite waveforms as the basis functions of our construction algorithm and discuss the problem of minimiz- ing the volume under the ambiguity surface over a certain given region. In the case of a circular region, we show that under some rather general assumptions, a Hermite waveform of a certain order is a solution for this problem. We also con- sider an application of this approach to the design of bandpass signals with desired ambiguity profiles in the strip containing the time-delay axis.