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Member of the linear systems class.

Syntax

[sos, g] = zp2sos(z, p)

[sos, g] = zp2sos(z, p, k)

[sos, g] = zp2sos(z, p, k, dir)

[sos, g] = zp2sos(z, p, k, dir, s)

sos = zp2sos(z, p)

sos = zp2sos(z, p, k)

sos = zp2sos(z, p, k, dir)

sos = zp2sos(z, p, k, dir, s)

Description

Converts a zero-pole-gain representation to a second-order section.

Examples

Inputs

Name	Description
z	Specifies the zeros of the system. z is a vector.
p	Specifies the poles of the system. p is a vector.
k	Specifies the gain of the system. The default is 1.
dir	Specifies how to arrange the second-order sections. dir accepts the following values. 'up' (default) The first row contains the poles closest to the origin. 'down' The first row contains the poles farthest from the origin.
s	Specifies the desired scaling of the gain and the numerator coefficients of all second-order sections. s accepts the following values. 'none' (default) Uses no scaling. Inf Uses infinity norm scaling. The filter must be stable to use infinity norm scaling. 2 Uses 2-norm scaling. The filter must be stable to use 2-norm scaling.

Outputs

Name	Description
sos	Returns the second-order section system. sos is an L-by-6 matrix. Each row of s contains the coefficients of one section as [b0 b1 b2 1 a1 a2].
g	Returns the gain of the system. If you do not specify g, LabVIEW embeds the gain in the first section.

Examples

[z, p, k] = tf2zp([1 2 3 4], [7 6 5 4]);
[sos, g] = zp2sos(z, p, k)

Related Topics

zp2ss
zp2tf