# cheby1

Create a Chebyshev I filter.

## Syntax

[b,a] = cheby1(n,Rp,Wp)

[b,a] = cheby1(n,Rp,Wp,band)

[b,a] = cheby1(n,Rp,Wp,domain)

[b,a] = cheby1(n,Rp,Wp,band,domain)

## Inputs

n
The filter order.
Type: integer
Dimension: scalar
Rp
The maximum attenuation in decibels in the passband, specified by Wp.
Type: double
Dimension: scalar
Wp
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 fourth order Chebyshev I low pass digital filter with a 300 Hz cutoff frequency and a 1000 Hz sampling frequency, and with 1dB attenuation in the pass band.

[b,a] = cheby1(4,1,300/500)
b = [Matrix] 1 x 5
0.11032  0.44129  0.66193  0.44129  0.11032
a = [Matrix] 1 x 5
1.00000  0.15099  0.80417  -0.16181  0.18717