Properties of Dolph-Chebyshev Weighting Functions

Abstract

Dolph-Chebyshev amplitude weighting is used with FFT signal processors and array antennas when a low sidelobe response is required. This particular weighting minimizes the width of the mainlobe response while forcing all of the sidelobes to a specified sidelobe level. As the specified sidelobe level is reduced, the mainlobe width increases, as does the loss in signal-to-noise ratio. This correspondence describes how the Dolph-Chebyshev weights may be easily calculated, and gives design data showing how signal-to-noise loss and mainlobe width vary with the specified sidelobe level.