Rational Graph Filter Design Using Spectral Transformation and IIR Digital Filter

In this paper, rational graph filters are designed by using conventional IIR digital filters and spectral transformation. First, the specification of the rational graph filter design is converted to that of IIR digital filter by using a spectral transformation. Then, conventional IIR digital filter design methods are directly employed to design converted digital filter without needing to develop new design algorithms. Next, the coefficients of rational graph filter are obtained from those of the designed digital filter by using Chebyshev polynomials and spectral transformation. Finally, one design example is demonstrated to show the effectiveness of the proposed method, and the application to temperature data denoising illustrates the usefulness of graph filter to practical problem.