Recursive implementation of exponential linear phase FIR filters

A family of exponential linear phase FIR filters that can be recursively implemented is proposed in this work. The advantage of this family is that the hardware implementation requires a fixed number of scalar multiplication and addition/subtraction operations, regardless of the filter order. Part of the arithmetic operations used in the implementation of these filters mandates exact computations, without any truncation or rounding. The paper includes a detailed discussion of the bit-width requirements of these operations. The proposed implementation is described in hardware description language and simulated using ModelSim. The simulation results show that, when done properly, the recursive implementation successfully achieved a linear phase response.