Design of IIR digital allpass filters based on eigenvalue problem
IEEE Transactions on Signal Processing
Universal maximally flat lowpass FIR systems
IEEE Transactions on Signal Processing
Closed-Form Design of Generalized Maxflat -Regular FIR th-Band Filters Using Waveform Moments
IEEE Transactions on Signal Processing
Quaternion-valued stochastic gradient-based adaptive IIR filtering
IEEE Transactions on Signal Processing
| Hi-index | 35.69 |
Fractional delay (FD) filters are an important class of digital filters and are useful in various signal processing applications. This paper discusses a design problem of FD infinite-impulse-response (IIR) filters with the maxflat frequency response in frequency domain. First, a flatness condition of FD filters at an arbitrarily specified frequency point is described, and then a system of linear equations is derived from the flatness condition. Therefore, a set of filter coefficients can be easily obtained by solving this system of linear equations. For a special case in which the frequency response is required to be maxftat at ω = 0 or π, a closed-form expression for its filter coefficients is derived by solving a linear system of Vandermonde equations. It is also shown that the existing maxftat FD finite-impulse-response (FIR) and IIR filters are special cases of the FD IIR filters proposed in this paper. Finally, some examples are presented to demonstrate the effectiveness of the proposed filters.