Chebyshev Pi LC Low Pass Filter Calculator
A Chebyshev Pi LC Low Pass Filter Calculator is a tool used to design a low-pass filter with a Chebyshev frequency response using Pi (π) topology with inductors (L) and capacitors (C). The Chebyshev response allows for a sharper roll-off compared to Butterworth filters, at the cost of ripple in the passband.
Key Features:
Pi (π) Topology: Uses two shunt capacitors and a series inductor.
Chebyshev Response: Provides a steeper cutoff with some passband ripple.
Cutoff Frequency (fc): The frequency where attenuation begins.
Ripple Factor: Controls the level of passband ripple (e.g., 0.1 dB, 0.5 dB, etc.).
Filter Order (N): Determines how steeply unwanted frequencies are attenuated.
Formula for Component Calculation (2nd Order Example):
Shunt Capacitors (C1,C2):
Series Inductor (L):
where
R is the load impedance.
Higher-order filters require more complex coefficient calculations based on Chebyshev polynomials.
Usage:
Input cutoff frequency (fc), passband ripple, and impedance (R).
The calculator computes the required inductors (L) and capacitors (C) values.
These values are used to construct the π-type low-pass LC filter.