Everything about Chebyshev filter
Type of analog or digital filter
Chebyshev filters are analog or digital filters that have a steeper roll-off than Butterworth filters, and have either passband ripple or stopband ripple. Chebyshev filters have the property that they minimize the error between the idealized and the actual filter characteristic over the operating frequency range of the filter, but they achieve this with ripples in the frequency response. This type of filter is named after Pafnuty Chebyshev because its mathematical characteristics are derived from Chebyshev polynomials. Type I Chebyshev filters are usually referred to as "Chebyshev filters", while type II filters are usually called "inverse Chebyshev filters". Because of the passband ripple inherent in Chebyshev filters, filters with a smoother response in the passband but a more irregular response in the stopband are preferred for certain applications. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Chebyshev filterA 5-minute orientation
- Skim a recent paper: Self-Evolving Recurrent Chebyshev Fuzzy Neural Sliding Mode Control for Active Power FilterInfluential work since 2022
- Pick up a classic book: Estimation in generalized uncertain-stochastic linear regressionThe most-reprinted book on the subject
- Read the landmark paper: FIR digital filter design techniques using weighted Chebyshev approximationCited 266 times
- Go sideways: Elliptic filterA closely related topic
- Go sideways: Butterworth filterA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
FIR digital filter design techniques using weighted Chebyshev approximation
Tables of Chebyshev impedance–transforming networks of low-pass filter form
Complex Chebyshev approximation for FIR filter design
The generalized chebyshev low‐pass prototype filter
The Dolph–Chebyshev Window: A Simple Optimal Filter
Ultra-selective 22-pole 10-transmission zero superconducting bandpass filter surpasses 50-pole Chebyshev filter
Minimax Design of Graph Filter Using Chebyshev Polynomial Approximation
Performance Analysis of Analog Butterworth Low Pass Filter as Compared to Chebyshev Type-I Filter, Chebyshev Type-II Filter and Elliptical Filter
🆕 Influential since 2022
Self-Evolving Recurrent Chebyshev Fuzzy Neural Sliding Mode Control for Active Power Filter
Chebyshev Functional Link Spline Neural Filter for Nonlinear Dynamic System Identification
Chebyshev Fuzzy Neural Network Super-Twisting Terminal Sliding-Mode Control for Active Power Filter
Self-Organizing Chebyshev Fuzzy Neural Network Integral Terminal Sliding Mode Control of Active Power Filter
Design of Fractional-Order Chebyshev Low-Pass Filter for Optimized Magnitude Response Using Metaheuristic Evolutionary Algorithms
📚 Books worth reading
- 📕Estimation in generalized uncertain-stochastic linear regressionAndrei V. Borisov, University of Michigan. Dept. of Industrial and Operations Engineering · 1991
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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