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This paper describes a new design method for finite impulse response (FIR) filters. FIR low-pass filters which have quasi-equiripple characteristics in the stopband and arbitrary ones in the passband are designed. Applying the parametric filter design technique, the stopband zeros are given in the closed form. Hence, only passband zeros are iteratively approximated to shape passband characteristics. This method can be applied for both the minimum and the linear phase cases.