On the three-coefficient window family

The definition of the three-coefficient window family is extended to the form: w(t,b)=0.5(1-b)+0.5 cos(2πt/T)+0.5b cos(4πt/T ), |t|⩽T/2, -0.25⩽b⩽0.25, and its spectral behavior is investigated. It is found that with the parameter b adjusted to different values, this window family can attain a minimum main lobe width of 1.38, a maximum sidelobe attenuation of 64.19 dB, and a highest cutoff rate of 30 dB/oct