Recursive Synthesis of Linear Time-Variant Digital Filters via Chebyshev Approximation

CHEBYSHEV APPROXIMATION FOR NON - RECURSIVE DIGITAL FILTERS by James H . McClellan

CHEBYSHEV APPROXIMATION FOR NON-RECURSIVE DIGITAL FILTERS by James H. McClellan An efficient procedure for the design of finite length impulse response filters with linear phase is pre¬ sented. The algorithm obtains the optimum Chebyshev approximation on separate intervals corresponding to pass and/or stop bands, and is capable of designing very long filters. This approach allows the exact spec...

All-Pole Recursive Digital Filters Design Based on Ultraspherical Polynomials

A simple method for approximation of all-pole recursive digital filters, directly in digital domain, is described. Transfer function of these filters, referred to as Ultraspherical filters, is controlled by order of the Ultraspherical polynomial, ν. Parameter ν, restricted to be a non-negative real number (ν ≥ 0), controls ripple peaks in the passband of the magnitude response and enables a tra...

Design Algorithms for Doppler MTI and Filters (Using Chebyshev Approximation)

Analytic Design Method and Applications of Two-Directional Wedge- Type Filters

This work proposes some mathematical methods used in the design of a class of two-dimensional recursive filters, with an orientation-selective frequency response. We propose an analytical design method based on a given 1D digital prototype filter and a frequency transformation determined using Chebyshev-Padé approximations and the bilinear transform. These filters may find useful applications i...

Optimal FIR and IIR Hilbert Transformer Design Via LS and Minimax Fitting

The usual way of the implementation of on-line discrete Hilbert transformers is the design of linear phase finite impulse response (FIR) filters. Recently, a method has been published for the design of infinite impulse response (IIR) Hilbert transformers as well. The paper introduces a new method for the design of both FIR and IIR Hilbert transformers, based on a parameter estimation method for...