A third-order Chebyshev type 1 filter model:

Bode magnitude plot of the modeled filter:

A lowpass Chebyshev type 1 filter using the full specification:

Magnitude response of the filter showing the ideal filter characteristics:

Create a symbolic Chebyshev type 1 filter model:

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 1 filter model with a cutoff frequency of 10:

Create a lowpass Chebyshev type 1 filter using the full specification:

Create a highpass Chebyshev type 1 filter:

Create a bandpass filter with passband frequencies 1 and 10 and attenuation of order 3:

Use center frequency 1 and quality factor 1/3:

Create a bandpass Chebyshev type 1 filter using the full specification:

Create a bandstop Chebyshev type 1 filter:

Create a lowpass Chebyshev type 1 filter:

Filter out high-frequency noise from a sinusoidal signal:

Chebyshev type 1 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 1 filter from the lowpass prototype:

Filter out low-frequency sinusoid from the input:

Design a digital FIR lowpass filter using the Chebyshev 1 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 1 IIR filter.

Implement a lowpass digital Chebyshev type 1 filter:

Obtain the desired number of FIR samples from the impulse response of the discrete-time Chebyshev filter:

Plot the FIR filter:

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

Filter an image using a discrete-time lowpass Chebyshev type 1 filter:

Filter an image using a highpass Chebyshev type 1 filter:

Stopband attenuation increases as order n increases:

Passband width of "Bandpass" filter decreases with increasing quality factor q:

Phase response of a third-order "Lowpass" type 1 Chebyshev filter:

Compare phase responses for different filter orders:

Phase response of a "Bandpass" filter for several quality factors:

Compare Chebyshev type 1 and type 2 lowpass filters:

Extract the order of the Chebyshev type 1 polynomial:

Find the poles of a Chebyshev type 1 filter:

Plot poles of the Butterworth filter:

Implement a lowpass digital Chebyshev type 1 filter:

Plot poles of the digital Chebyshev type 1 filter:

Convert a lowpass filter to highpass: