Chebyshev Filter Calculator

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Calculate ideal Chebyshev Type I prototype values and scaled LC components for low-pass or high-pass filters from order, passband ripple, cutoff frequency, and impedance.

Input Parameters

Filter Type

Select low-pass or high-pass prototype scaling.

Filter Order

Integer order from 1 to 8.

Passband Ripple

Ripple must be greater than 0 dB.

Cutoff Frequency

MHz

Ripple-band edge / cutoff frequency.

System Impedance

Source/load impedance.

Results

Prototype g Values

First Component

Last Component

Ideal Slope

Component Table

Design Note

Equations Used

Chebyshev Prototype: g values are calculated from filter order and passband ripple.

Ripple Factor: ε = √(10^(ripple/10) - 1)

Low-Pass Scaling: Series L = gkR/ωc, Shunt C = gk/(Rωc)

High-Pass Scaling: Series C = 1/(gkRωc), Shunt L = R/(gkωc)

Important: Chebyshev filters trade passband ripple for sharper transition than Butterworth filters.

Frequently Asked Questions (FAQ)

Q1: What does this Chebyshev filter calculator do?
It calculates ideal Type I Chebyshev prototype values and scales them into LC components.

Q2: What is passband ripple?
Ripple is the allowed variation in passband gain. Higher ripple usually gives a sharper transition.

Q3: How is Chebyshev different from Butterworth?
Butterworth has a flat passband, while Chebyshev allows ripple for faster cutoff transition.

Q4: Why must ripple be greater than 0 dB?
A zero-ripple Chebyshev response becomes Butterworth-like, so use the Butterworth calculator for zero ripple.

Q5: Are these values ready for production?
No. Use them as ideal starting values, then simulate and measure with real component models and layout parasitics.

Disclaimer: This calculator uses ideal Chebyshev prototype equations. Real filters require simulator verification, component Q and tolerance analysis, PCB parasitic review, and final network measurement.

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