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zpk

Convert digital filter to zero-pole-gain representation

Description

example

[z,p,k] = zpk(d)returns the zeros, poles, and gain corresponding to the digital filter,d, in vectorszandp, and scalark, respectively.

Examples

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Design a highpass FIR filter of order 8 with passband frequency 75 kHz and passband ripple 0.2 dB. Specify a sample rate of 200 kHz. Find the zeros, poles, and gain of the filter.

hpFilt = designfilt('highpassiir','FilterOrder',8,...'PassbandFrequency',75e3,'PassbandRipple',0.2,...'SampleRate',200e3); [z,p,k] = zpk(hpFilt)
z =8×11 1 1 1 1 1 1 1
p =8×1 complex-0.6707 + 0.6896i -0.6707 - 0.6896i -0.6873 + 0.5670i -0.6873 - 0.5670i -0.7399 + 0.3792i -0.7399 - 0.3792i -0.7839 + 0.1344i -0.7839 - 0.1344i
k = 1.2797e-05

Input Arguments

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Digital filter, specified as adigitalFilterobject. Usedesignfiltto generate a digitalfilter based on frequency-response specifications.

Example:d = designfilt('lowpassiir','FilterOrder',3,'HalfPowerFrequency',0.5)specifies a third-order Butterworth filter with normalized 3 dB frequency 0.5π rad/sample.

Output Arguments

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Zeros of the filter, returned as a column vector.

Data Types:double

Poles of the filter, returned as a column vector.

Data Types:double

Gain of the filter, returned as a real scalar.

Data Types:double

Introduced in R2014a