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Explaining IIR Filter Using Orthogonal Polynomials and Classical Functions
Abstract
This paper presents a streamlined approach to Infinite Impulse Response (IIR) filter design by combining the orthogonal polynomial method with classical analog filter functions such as Butterworth, Chebyshev, and Elliptic filters. The proposed method leverages the mathematical precision of orthogonal polynomials to achieve linear phase characteristics, while classical filter functions are used to refine the frequency response. This dual approach simplifies the design process, ensuring filter stability and effectiveness with minimal computational overhead. The resulting IIR filters offer a balance of simplicity, accuracy, and performance, making them suitable for a wide range of signal processing applications.
References
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