Chebyshev Tee LC High Pass Filter Calculator
A Chebyshev Tee LC High-Pass Filter Calculator is a design tool for creating high-pass filters with a Chebyshev response in a T-configuration using inductors (L) and capacitors (C). These filters are known for their steep roll-off and ripple in the passband, making them ideal when you want rapid attenuation of low-frequency signals after the cutoff frequency — even at the cost of some ripple.
How the Chebyshev Tee LC High-Pass Filter works:
Chebyshev Response: Provides a sharper cutoff than Butterworth filters, but with ripple in the passband.
T-Configuration: Two series capacitors (C1, C2) and one shunt inductor (L) arranged in a "T" shape.
LC Components:
Capacitors (C1, C2): Pass high-frequency signals and block low-frequency signals.
Inductor (L): Shunts low-frequency signals to ground.
What the calculator does:
You typically input:
Cutoff frequency (Fc): Frequency below which signals are attenuated.
Passband ripple (dB): The amount of acceptable ripple in the passband.
Load impedance (Z): The impedance of the load connected to the filter.
Filter order: The number of LC stages, which controls how steeply the filter rolls off.
The calculator then provides the optimized L and C values based on the Chebyshev polynomial coefficients and your design requirements. For a second-order (2-pole) filter, for example:
C1=C2 and
L are calculated based on your chosen ripple and cutoff frequency.
Why use a Chebyshev high-pass filter?
Pros:
Faster roll-off than Butterworth filters.
Greater attenuation of unwanted low frequencies.
Cons:
Introduces ripple in the passband (more ripple = steeper cutoff).