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Problem statement: A simple analytical approach to the synthesis of a sharp transition, linear phase, multiband FIR filter is presented. The filter magnitude response is modeled using trigonometric functions of frequency. Approach: Employing variable density of ripple cycles in passband and stopband regions with large density of ripples cycles at the sharp transition edges, reduces the abrupt discontinuities at these edges. Results: As a result, Gibb's phenomenon is reduced in the filterdoi:10.3844/ajeassp.2012.42.48 fatcat:dth4anr5cvhlzksiezf5uaxf3e