Simple Polynomial Windows for Spectral Analysis of Signals That Minimize the Spectrum Sidelobe Level on a Segment of the Frequency Axis

A synthesis problem is solved for low-order polynomial windows that are optimal by the criterion of minimizing the highest sidelobe level on a given segment of the frequency axis. The windows feature an arbitrary specified sidelobe falloff rate, a simple calculation algorithm and are intended for embedded real-time systems. It is shown that reduction of the length of the minimization segment significantly improves the main window characteristics. Windows are synthesized with different sidelobe falloff rates, their parameters are provided, and characteristics are analyzed.