New window functions generated by means of time convolution-spectral leakage error

The new window class, generated by the time convolution of well-known classic windows, is presented. By multiple auto-convolution of windows it is possible to obtain both flat-top and high sidelobe attenuation, making new windows very suitable for harmonic amplitude evaluation in the nonsynchronous sampling case (i.e. when noninteger number of cycles lies in the interval of analysis). The expressions describing an error caused by spectral leakage are derived. The new window class is tested on the periodic signal with known harmonic contents. The results obtained confirm the applicability of new windows in the analysis of the periodic signal waveforms.