# cheby2

Create a Chebyshev II filter.

## Syntax

[b,a] = cheby2(n,Rs,Ws)

[b,a] = cheby2(n,Rs,Ws,band)

[b,a] = cheby2(n,Rs,Ws,domain)

[b,a] = cheby2(n,Rs,Ws,band,domain)

## Inputs

n
The filter order.
Type: integer
Dimension: scalar
Rs
The minimum attenuation in decibels in the stop band, specified by Ws.
Type: double
Dimension: scalar
Ws
A scalar specifying the cutoff frequency of a low or high pass filter, or a two element vector specifying the cutoff frequencies of a bandpass or bandstop filter. For a digital filter the values (in Hz) are normalized relative to the Nyquist frequency. For an analog filter the values are in radians/sec.
Type: double
Dimension: scalar | vector
band
The band type of the filter. Omit for low pass or bandpass. Use 'high' for high pass, and 'stop' for bandstop.
Type: string
domain
• Use 'z' for digital filters (default).
• Use 's' for analog filters.

## Outputs

b
The numerator polynomial coefficients of the filter.
Type: vector
a
The denominator polynomial coefficients of the filter.
Type: vector

## Example

Create a third order Chebyshev II low pass digital filter with a 300 Hz cutoff frequency and a 1000 Hz sampling frequency, and with 20 dB attenuation in the stop band.

[b,a] = cheby2(3,20,300/500)
b = [Matrix] 1 x 4
0.25371  0.47331  0.47331  0.25371
a = [Matrix] 1 x 4
1.00000  -0.00085  0.42058  0.03430