# ctranspose, '

Conjugate dynamic system model

## Syntax

## Description

computes the conjugate of the dynamic system model or static model `H`

= ctranspose(`G`

)`G`

.
The `ctranpose`

command is equivalent to the `'`

operator.

If `G`

is a dynamic system model poles *P* and zeros
*Z*, then the conjugate system `H = ctranspose(G)= G'`

has the following properties.

In continuous time, the poles of

`H`

are –*P*and the zeros of`H`

are –*Z*. The frequency response of*H*is the Hermitian transpose of the frequency response of*G*:*H*(*jω*) =*G*(*jω*)^{H}.In discrete time with sample time

*T*, the poles of_{s}`H`

are 1/*P*and the zeros of`H`

are 1/*Z*. The frequency response of*H*is the Hermitian transpose of the frequency response of*G*:*H*(*z*) =*G*(*z*)^{H},where

*z*=*e*^{iωTs}.

If `G`

is a static model, then `H`

is the
complex-conjugate transpose of the matrix.

## Examples

## Input Arguments

## Output Arguments

## Version History

**Introduced before R2006a**