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For a given number of elements, the maximum spatial resolution of a linear array is achieved by maximizing the array aperture. When the elements are uniformly distributed, the aperture is generally limited since the problem of grating lobes occurs when the inter-element spacing is greater than the wavelength. To achieve better resolution without increasing the number of elements while avoiding the grating lobe problem, nonuniform spacings are often more desirable. The maximum aperture of a linear array can indeed be achieved by placing the element locations that minimize the number of redundant spacings in the array. In this paper, we investigate the issue of finding appropriate weighting coefficients which suppress a maximum number of sidelobes in minimum redundancy arrays to an arbitrarily specified level. The performance of the resulting system is compared with an equi-spaced array having the same aperture as the minimum redundancy array.