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mkfilter

Generate Bessel, Butterworth, Chebyshev, or RC filter

Syntax

sys = mkfilter(fc,ord,type)
sys = mkfilter(fc,ord,type,psbndr)

Description

sys = mkfilter(fc,ord,type) returns a single-input, single-output analog low pass filter sys as an ss object. The cutoff frequency (Hertz) is fc and the filter order is ord, a positive integer. The argument type specifies the type of filter and can be one of the following:

type value

Description

'butterw'

Butterworth filter

'cheby'

Chebyshev filter

'bessel'

Bessel filter

'rc'

Series of resistor/capacitor filters

The dc gain of each filter (except even-order Chebyshev) is set to unity.

sys = mkfilter(fc,ord,type,psbndr) contains the input argument psbndr that specifies the Chebyshev passband ripple (in dB). At the cutoff frequency, the magnitude is -psbndr dB. For even-order Chebyshev filters the DC gain is also -psbndr dB.

Examples

collapse all

Generate several different types of filters and compare their frequency responses.

butw = mkfilter(2,4,'butterw'); 
cheb = mkfilter(4,4,'cheby',0.5); 
rc = mkfilter(1,4,'rc'); 
bode(butw,'-',cheb,'--',rc,'-.')
legend('Butterworth','Chebyshev','RC filter')

Figure contains 2 axes objects. Axes object 1 with ylabel Magnitude (dB) contains 3 objects of type line. These objects represent Butterworth, Chebyshev, RC filter. Axes object 2 with ylabel Phase (deg) contains 3 objects of type line. These objects represent Butterworth, Chebyshev, RC filter.

Limitations

The Bessel filters are calculated using the recursive polynomial formula. This is poorly conditioned for high order filters (order > 8).

Version History

Introduced before R2006a

See Also