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# phaseplot

frequency phase plot

### Syntax

phaseplot(sl) phaseplot(sl,fmin,fmax [,step] [,comments] ) phaseplot(frq,db,phi [,comments]) phaseplot(frq, repf [,comments])

### Arguments

- sl
A siso or simo linear dynamical system, in state space, transfer function or zpk representations, in continuous or discrete time.

- fmin
real scalar: the minimum frequency (in Hz) to be represented.

- fmax
real scalar: the maximum frequency (in Hz) to be represented.

- step
real scalar: the frequency discretization step (logarithmic scale)). If it is not specified the algorithm uses adaptative frequency steps.

- comments
a character string vector: the legend label to be associated with each curve. Optional value is the empty array.

- frq
a row vector or an n x m array: The frequency discretization in Hz.

- db
an n x m array: the magnitudes corresponding to

`frq`

. This argument is not used, it only appears to make`phaseplot`

have the same syntax as`gainplot`

and`bode`

.- phi
an n x m array: the phases in degree corresponding to

`frq`

. The`phaseplot`

function plots the curves`phi(i,:)`

versus`frq(i,:)`

- repf
an n x m complex array. The

`phaseplot`

function plots the curves`phase(repf(i,:))`

versus`frq(i,:)`

### Description

This function draws the phase of the frequency response of a system. The system can be given under different representations:

`phaseplot(sl,...)`

case`sl`

can be a continuous-time or discrete-time SIMO system given by its state space, rational transfer function (see syslin) or zpk representation. In case of multi-output the outputs are plotted with different colors.In this case the frequencies can be given by:

the lower and upper bounds in Hz

`fmin`

,`fmax`

and an optional frequency step`step`

. The default values for`fmin`

and`fmax`

are`1.e-3`

,`1.e3`

if`sl`

is continuous-time or`1.e-3`

,`0.5/sl.dt`

(nyquist frequency) if`sl`

is discrete-time. If the`step`

argument is omitted the function use an adaptative frequency step (see calfrq).a row vector or a 2D array

`frq`

which gives the frequency values in Hz. 2D array can be used for multi-output systems if one wants to have different frequency discretization for each input/output couple.

`phaseplot(frq,...)`

caseThis case allows to draw frequency phase plots for previously computed frequency responses. The frequency response can be given either by it's complex representation

`repf`

or by it's magnitude phase representation`db`

,`phi`

.`frq`

and`repf`

must be row vectors or n x m arrays (each row represent an input/output couple).

The datatips tool may be used to display data along the phase curves.

### Examples

### See also

### History

Version | Description |

5.4.0 | Function phaseplot introduced. |

6.0 | handling zpk representation. |

## Comments

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