Optimally tapered periodograms for nonuniformly sampled data

In this paper, we design tapers for the periodogram in the case of nonuniformly sampled data. We consider both data independent and data dependent taper designs. In the data independent design case, we derive tapers by minimizing either the integrated sidelobe level or the peak sidelobe level of the spectral window. In the data dependent case, we extend the design by allowing the tapers to be complex-valued, as well as frequency and data dependent and obtain them by iterative techniques. Finally, we evaluate the performance of the designed tapers via several numerical examples.