A new approach to the design of biorthogonal triplet half-band filter banks using generalized half-band polynomials

This paper presents a novel approach to design a class of biorthogonal triplet half-band filter banks based on the generalized half-band polynomials. The filter banks are designed with the help of three-step lifting scheme (using three kernels). The generalized half-band polynomial is used to construct these three kernels by imposing the number of zeros at \(z=-1\) . The maximum number of zeros imposed for the three kernels is half of the order of half-band polynomial ( \(K/2\) for \(K\) order polynomial). The three kernels give a set of constraints on the coefficients of half-band polynomial by imposing the zeros. In addition to structural perfect reconstruction and linear phase, the proposed filter banks provide better frequency selectivity, more similarity between analysis and synthesis filters (measure of near-orthogonality), and good time–frequency localization. The proposed technique offers more flexibility in the design of filters using two degrees of freedom. Some examples have been presented to illustrate the method.     

Design of Two Channel Biorthogonal Filterbanks using Euler Frobenius Polynomial

Journal of Signal Processing Systems - This paper presents a technique to design a new class of biorthogonal perfect reconstruction (PR) filterbanks. In this technique, we use Euler Frobenius...     

Phase-only blind deconvolution using bicepstrum iterativereconstruction algorithm (BIRA)

In this correspondence, we propose a procedure based on the bicepstrum iterative reconstruction algorithm (BIRA) for the reconstruction of an input signal (unobservable) of a linear-phase or zero-phase linear time-invariant (LTI) system from its observed output. The desired input signal is reconstructed without the knowledge of the system transfer function