In this paper, a design method for wideband smart antennas with independently controllable beam width and sidelobe level in their patterns is demonstrated. Using a frequency domain frequency-invariant beam former, the phases of the complex weights can be adjusted to obtain a beam pattern that is invariant over the frequency range of interest, and a modified Chebyshev approach is used to calculate the amplitudes of these complex beam-forming weights, ensuring a relatively independent control of the beam width and the sidelobe level. The paper also briefly discusses different approaches for selecting the amplitudes leading to patterns with high directivities.