Exchange Algorithms for the Design of Linear Phase FIR Filters and Differentiators Having Flat Monotonic Passbands and Equiripple Stopbands Ivan W. Selesnick and C. Sidney Burrus Electrical and Computer Engineering Department - MS 366 Rice University, Houston, TX 77251-1892, USA selesi@rice.edu, csb@rice.edu To appear in IEEE trans. on Circuits and Systems, part II. This paper describes a modification of a technique proposed by Vaidyanathan for the design of filters having flat passbands and equiripple stopbands. The modification ensures that the passband is monotonic and does so without the use of concavity constraints. Another modification described in this paper adapts the method of Vaidyanathan to the design of lowpass differentiators having a specified degree of tangency at w = 0.