## Documentation Center |

Design arbitrary response filter

This block brings the filter design capabilities of the ` filterbuilder` function
to the Simulink

See Arbitrary Response Filter Design Dialog Box — Main Pane for
more information about the parameters of this block. The **Data
Types** and **Code Generation** panes
are not available for blocks in the DSP System Toolbox™ Filter
Designs library.

**View filter response**This button opens the Filter Visualization Tool (

`fvtool`) from the Signal Processing Toolbox™ product. You can use the tool to display:Magnitude response, phase response, and group delay in the frequency domain.

Impulse response and step response in the time domain.

Pole-zero information.

The tool also helps you evaluate filter performance by providing information about filter order, stability, and phase linearity. For more information on FVTool, see the Signal Processing Toolbox documentation.

In this group, you specify your filter format, such as the impulse response and the filter order.

**Impulse response**Select either

`FIR`or`IIR`from the drop down list, where`FIR`is the default. When you choose an impulse response, the design methods and structures you can use to implement your filter change accordingly.**Order mode**Select

`Minimum`or`Specify`from the drop-down list. Selecting`Specify`enables the**Order**option so you can enter the filter order. When you set the**Impulse response**to`IIR`, you can specify different numerator and denominator orders. To specify a different denominator order, you must select the**Denominator order**check box.**Order**Enter the order for FIR filter, or the order of the numerator for the IIR filter.

**Denominator order**Select the check box and enter the denominator order. This option is enabled only if

`IIR`is selected for**Impulse response**.**Filter type**This option is available for FIR filters only. Select

`Single-rate`,`Decimator`,`Interpolator`, or`Sample-rate converter`. Your choice determines the type of filter as well as the design methods and structures that are available to implement your filter. By default, the block specifies a single-rate filter.Selecting

`Decimator`or`Interpolator`activates the**Decimation Factor**or the**Interpolation Factor**options respectively.Selecting

`Sample-rate converter`activates both factors.

**Decimation Factor**Enter the decimation factor. This option is enabled only if the

**Filter type**is set to`Decimator`or`Sample-rate converter`. The default value is 2.**Interpolation Factor**Enter the interpolation factor. This option is enabled only if the

**Filter type**is set to`Interpolator`or`Sample-rate converter`. The default value is 2.

**Number of Bands**Select the number of bands in the filter. Multiband design is available for both FIR and IIR filters.

**Specify response as**Specify the response as

`Amplitudes`,`Magnitudes and phases`,`Frequency response`, or`Group delay`.`Group delay`is only available for IIR designs.**Frequency units**Specify frequency units as either

`Normalized`, which means normalized by the input sampling frequency, or select from`Hz`,`kHz`,`MHz`, or`GHz`.**Input Fs**Enter the input sampling frequency in the units specified in the

**Frequency units**drop-down list. When you select the frequency units, this option is available.

These properties are modified automatically depending on the
response chosen in the **Specify response as** drop-down
list. Two or three columns are presented for input. The first column
is always Frequencies. The other columns are Amplitudes, Magnitudes,
Phases, or Frequency Response. Enter the corresponding vectors of
values for each column.

**Frequencies**and**Amplitudes**— These columns are presented for input if the response chosen in the**Specify response as**drop-down list is`Amplitudes`.**Frequencies**,**Magnitudes**, and**Phases**— These columns are presented for input if the response chosen in the**Specify response as**drop-down list is`Magnitudes and phases`.**Frequencies**and**Frequency response**— These columns are presented for input if the response chosen in the**Specify response as**drop-down list is`Frequency response`.

**Design Method**Select the design method for the filter. Different methods are enabled depending on the defining parameters entered in the previous sections.

**Design Options**The options for each design are specific for each design method. This section does not present all of the available options for all designs and design methods. There are many more that you encounter as you select different design methods and filter specifications.

**Window**— Replace the square brackets with the name of a`window`function or function handle. For example,`hamming`or`@hamming`. If the window function takes parameters other than the length, use a cell array. For example,`{‘kaiser',3.5}`or`{@chebwin,60}`.**Density factor**— Valid when the**Design method**is`Equiripple`. Density factor controls the density of the frequency grid over which the design method optimization evaluates your filter response function. The number of equally spaced points in the grid is the value you enter for**Density factor**times (filter order + 1).Increasing the value creates a filter that more closely approximates an ideal equiripple filter but increases the time required to design the filter. The default value of 16 represents a reasonable trade-off between the accurate approximation to the ideal filter and the time to design the filter.

**Phase constraint**— Valid when the**Design method**is`Equiripple`, you have the DSP System Toolbox installed, and**Specify response as**is set to`Amplitudes`. Choose one of`Linear`,`Minimum`, or`Maximum`.**Weights**— Valid when the**Design method**is`Equiripple`. Uses the weights in**Weights**to weight the error for a single-band design. If you have multiple frequency bands, the**Weights**design option changes to**B1 Weights**,**B2 Weights**to designate the separate bands.

**Structure**Select the structure for the filter, available for the corresponding design method.

**Use basic elements to enable filter customization**Select this check box to implement the filter as a subsystem of basic Simulink blocks. Clear the check box to implement the filter as a high-level subsystem. By default, this check box is cleared.

The high-level implementation provides better compatibility across various filter structures, especially filters that would contain algebraic loops when constructed using basic elements. On the other hand, using basic elements enables the following optimization parameters:

**Optimize for zero gains**— Terminate chains that contain Gain blocks with a gain of zero.**Optimize for unit gains**— Remove Gain blocks that scale by a factor of one.**Optimize for delay chains**— Substitute delay chains made up of*n*unit delays with a single delay by*n*.**Optimize for negative gains**— Use subtraction in Sum blocks instead of negative gains in Gain blocks.

**Optimize for unit-scale values**Select this check box to scale unit gains between sections in SOS filters. This parameter is available only for SOS filters.

**Input processing**Specify how the block should process the input. The available options may vary depending on he settings of the

**Filter Structure**and**Use basic elements for filter customization**parameters. You can set this parameter to one of the following options:`Columns as channels (frame based)`— When you select this option, the block treats each column of the input as a separate channel.`Elements as channels (sample based)`— When you select this option, the block treats each element of the input as a separate channel.

**Note:**The`Inherited (this choice will be removed — see release notes)`option will be removed in a future release. See Frame-Based Processing in the*DSP System Toolbox Release Notes*for more information.**Rate options**When the

**Filter type**parameter specifies a multirate filter, select the rate processing rule for the block from following options:`Enforce single-rate processing`— When you select this option, the block maintains the sample rate of the input.`Allow multirate processing`— When you select this option, the block adjusts the rate at the output to accommodate an increased or reduced number of samples. To select this option, you must set the**Input processing**parameter to`Elements as channels (sample based)`.

**Use symbolic names for coefficients**Select this check box to enable the specification of coefficients using MATLAB

^{®}variables. The available coefficient names differ depending on the filter structure. Using symbolic names allows tuning of filter coefficients in generated code. By default, this check box is cleared.

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