A Chebyshev type 2 filter model:

Bode plot of the modeled filter:

A symbolic representation of an order 2 lowpass filter:

Exact computation of the model:

Computation of the model with precision 24:

Create a filter model using the variable s:

Create a lowpass Chebyshev type 2 filter:

Create a highpass Chebyshev type 2 filter:

Create a bandpass Chebyshev type 2 filter:

Create a bandstop Chebyshev type 2 filter:

Create a lowpass Chebyshev type 2 filter:

Filter out high-frequency noise from a sinusoidal signal:

Chebyshev type 2 filter phase shifts the response by Arg [tf[ω]], where ω is the frequency of the input sinusoid:

Correct for the phase shift:

Create a highpass Chebyshev type 2 filter from the lowpass prototype:

Filter out low-frequency sinusoid from the input:

Design a digital FIR lowpass filter using the Chebyshev 2 approximation that satisfies the following passband and stopband frequencies and attenuations:

Obtain the equivalent analog frequencies, assuming a sampling period of 1:

Compute the analog Chebyshev 1 transfer function:

Convert to discrete-time model:

Create an FIR approximation of a discrete-time Chebyshev type 2 IIR filter.

Implement a lowpass digital Chebyshev type 2 filter:

Obtain the impulse response of the IIR filter and evaluate for the desired number of samples:

Plot the FIR filter:

Smooth financial data using an FIR approximation of a Chebyshev filter:

Filter an image using a lowpass Chebyshev type 2 filter:

Filter an image using a highpass Chebyshev type 2 filter:

Compare Chebyshev type 1 and type 2 lowpass filters:

Extract the order of the Chebyshev type 2 polynomial:

Find the poles and zeros of a Chebyshev type 2 filter:

Plot poles and zeros of the Chebyshev filter:

Implement a lowpass digital Chebyshev type 2 filter:

Plot poles and zeros of the digital Chebyshev type 2 filter:

Convert a lowpass filter to high pass:

A symbolic filter cannot be returned with full specification since the order is not computable: