Performance function for equally-spaced digital spectrum analysis

A different procedure for evaluating the errors introduced by the equally-spaced sampling technique in the asynchronous spectral analysis of a periodic signal was introduced. It is based on the assumption that the initial sampling instant can be randomized so that each estimated spectral component can be considered a random variable characterized by its statistical parameters. The theoretical expressions of these parameters were deduced and compared with the simulated ones denoting a very good agreement between them.