Chebyshev Filter Attenuation Calculator
Chebyshev Filter Attenuation Calculator
A Chebyshev Filter Attenuation Calculator allows users to compute the attenuation in dB for a Chebyshev filter by entering the normalized frequency (ω/ωc), the passband ripple (RdB in dB), and the order of the filter (n). This type of filter is known for its ripple in the passband and sharper roll-off compared to Butterworth filters. The calculator leverages Chebyshev polynomials up to the 7th order to model the attenuation characteristics. Users input the normalized frequency ratio (ω/ωc), which compares the signal frequency to the cutoff frequency, and specify the desired passband ripple, which affects how much the signal fluctuates within the passband. Based on the given filter order (up to 7), the calculator applies the corresponding Chebyshev polynomial and computes the attenuation in dB using the formula AdB=10log10(1+ϵ2Cp2)AdB=10log10(1+ϵ2Cp2(x)), where CpCp represents the Chebyshev polynomial and ϵϵ is derived from the passband ripple. This tool is useful for designing precise filters in various communication and signal processing applications.Some example usage of this online LC parallel resonant circuit calculator are as follows.
- LC Parallel Resonant Circuit Online Calculator