Discrete Transfer Fcn

Implement discrete transfer function

• 

Libraries:
Simulink / Discrete
HDL Coder / Discrete
HDL Coder / HDL Floating Point Operations

Description

The Discrete Transfer Fcn block implements the z-transform transfer function as follows:

$$H(z)=\frac{num(z)}{den(z)}=\frac{nu{m}_0{z}^m+nu{m}_1{z}^{m-1}+\mathrm{...}+nu{m}_m}{de{n}_0{z}^n+de{n}_1{z}^{n-1}+\mathrm{...}+de{n}_n}$$

where m+1 and n+1 are the number of numerator and denominator coefficients, respectively. num and den contain the coefficients of the numerator and denominator in descending powers of z. num can be a vector or matrix, while den must be a vector. The order of the denominator must be greater than or equal to the order of the numerator.

Specify the coefficients of the numerator and denominator polynomials in descending powers of z. This block lets you use polynomials in z to represent a discrete system, a method that control engineers typically use. Conversely, the Discrete Filter block lets you use polynomials in z^-1 (the delay operator) to represent a discrete system, a method that signal processing engineers typically use. The two methods are identical when the numerator and denominator polynomials have the same length.

The Discrete Transfer Fcn block applies the z-transform transfer function to each independent channel of the input. The Input processing parameter allows you to specify whether the block treats each column of the input as an individual channel (frame-based processing) or each element of the input as an individual channel (sample-based processing). To perform frame-based processing, you must have a DSP System Toolbox™ license.

Specifying Initial States

Use the Initial states parameter to specify the initial filter states. The initial states you specify are the initial conditions of the unit delay blocks that are used in the filter digram implementing the discrete transfer function.

To determine the number of initial states you must specify and how to specify them, use the following tables.

Frame-Based Processing

Input	Number of Channels	Valid Initial States (Dialog Box)	Valid Initial States (Input Port)
Column vector (K-by-1) Unoriented vector (K)	1	Scalar Column vector (M-by-1) Row vector (1-by-M)	Scalar Column vector (M-by-1)
Row vector (1-by-N) Matrix (K-by-N)	N	Scalar Column vector (M-by-1) Row vector (1-by-M) Matrix (M-by-N)	Scalar Matrix (M-by-N)

Sample-Based Processing

Input	Number of Channels	Valid Initial States (Dialog Box)	Valid Initial States (Input Port)
Scalar	1	Scalar Column vector (M-by-1) Row vector (1-by-M)	Scalar Column vector (M-by-1) Row vector (1-by-M)
Row vector (1-by-N) Column vector (N-by-1) Unoriented vector (N)	N	Scalar Column vector (M-by-1) Row vector (1-by-M) Matrix (M-by-N)	Scalar
Matrix (K-by-N)	K × N	Scalar Column vector (M-by-1) Row vector (1-by-M) Matrix (M-by-(K×N))	Scalar

When the Initial states is a scalar, the block initializes all filter states to the same scalar value. To initialize all states to zero, enter 0. When the Initial states is a vector or a matrix, each vector or matrix element specifies a unique initial state for a corresponding delay element in a corresponding channel:

• The vector length must equal the number of delay elements in the filter, M = max(number of zeros, number of poles).

• The matrix must have the same number of rows as the number of delay elements in the filter, M = max(number of zeros, number of poles). The matrix must also have one column for each channel of the input signal.

The following example shows the relationship between the initial filter output and the initial input and state. Given an initial input u₁, the first output y₁ is related to the initial state [x₁, x₂] and initial input by as follows:

$$\begin{array}{l}y1=4x1\\ x2=1/2(u1-3x1)\end{array}$$

Examples

Designing a High Angle of Attack Pitch Mode Control

Use the Control System Toolbox™ and Simulink® Control Design™ to interact with Simulink to design a digital pitch control for the aircraft. In this example, we will design the controller to permit the aircraft to operate at a high angle of attack with minimal pilot workload.

• Open Model

Ports

Input

u — Input signal

scalar | vector | matrix

Input signal, specified as a scalar, vector, or matrix.

When you set the Input processing parameter to Columns as channels (frame based), the block supports variable-size input signals, that is, you can change the frame size (number of rows) of the signal during simulation but the number of channels (columns) must remain constant. (since R2024a)

Data Types: single | double | int8 | int16 | int32 | fixed point

Num — Numerator coefficients

scalar | vector | matrix

Coefficients of the numerator polynomial specified as a vector or matrix in descending powers of z. Use a row vector to specify the coefficients for a single numerator polynomial. Use a matrix to specify coefficients for multiple filters to be applied to the same input. Each matrix row represents a set of filter taps. The order of the denominator must be greater than or equal to the order of the numerator.

Dependencies

To enable this port, set Numerator Source to Input port.

Numerator and denominator coefficients must have the same complexity. They can have different word lengths and fraction lengths.

Data Types: single | double | int8 | int16 | int32 | fixed point

Den — Denominator coefficients

scalar | vector | matrix

Coefficients of the denominator polynomial specified as a vector in descending powers of z. Use a row vector to specify the coefficients for a single denominator polynomial. Use a matrix to specify coefficients for multiple filters to be applied to the same input. Each matrix row represents a set of filter taps. The order of the denominator must be greater than or equal to the order of the numerator. The leading denominator coefficient cannot be 0.

Dependencies

To enable this port, set Denominator Source to Input port.

Numerator and denominator coefficients must have the same complexity. They can have different word lengths and fraction lengths.

To set Denominator Source to Input port, you must select the Optimize by skipping divide by leading denominator coefficient (a0) parameter. The block ignores the leading denominator coefficient value a0 and replaces it with a 1.

Data Types: single | double | int8 | int16 | int32 | fixed point

External reset — External reset signal

scalar

External reset signal, specified as a scalar. When the specified trigger event occurs, the block resets the states to their initial conditions.

Tip

The icon for this port changes based on the value of the External reset parameter.

Dependencies

To enable this port, set External reset to Rising, Falling, Either, Level, or Level hold.

Limitations

The reset signal must be a scalar of type single, double, Boolean, or integer. Fixed-point data types, except for ufix1, are not supported.

Data Types: single | double | Boolean | int8 | int16 | int32 | fixed point

x0 — Initial states

scalar | vector | matrix

Initial states, specified as a scalar, vector, or matrix. For more information about specifying states, see Specifying Initial States. States are complex when either the input or the coefficients are complex.

Dependencies

To enable this port, set Initial states Source to Input port.

Data Types: single | double | int8 | int16 | int32 | fixed point

Output

Port_1 — Output signal

scalar | vector | matrix

Output signal specified as a scalar, vector, or matrix.

When you set Sample time to -1, sample time of the output signal is same as the sample time of the input signal u.

Data Types: single | double | int8 | int16 | int32 | fixed point

Parameters

Main

Numerator Source — Source of numerator coefficients

Dialog (default) | Input port

Specify the source of the numerator coefficients as Dialog or Input port.

Programmatic Use

Block Parameter: NumeratorSource

Type: character vector

Values: 'Dialog' | 'Input port'

Default: 'Dialog'

Numerator Value — Numerator coefficients

[1] (default) | scalar | vector | matrix

Numerator coefficients of the discrete transfer function. To specify the coefficients, set the Source to Dialog. Then, enter the coefficients in Value as descending powers of z. Use a row vector to specify the coefficients for a single numerator polynomial. Use a matrix to specify coefficients for multiple filters to be applied to the same input. Each matrix row represents a set of filter taps.

Dependencies

To enable this parameter, set the Numerator Source to Dialog.

Programmatic Use

Block Parameter: Numerator

Type: character vector

Values: scalar | vector | matrix

Default: '[1]'

Denominator Source — Source of denominator coefficients

Dialog (default) | Input port

Specify the source of the denominator coefficients as Dialog or Input port.

To set Denominator Source to Input port, you must select the Optimize by skipping divide by leading denominator coefficient (a0) parameter.

Programmatic Use

Block Parameter: DenominatorSource

Type: character vector

Values: 'Dialog' | 'Input port'

Default: 'Dialog'

Denominator Value — Denominator coefficients

[1 0.5] (default) | scalar | vector | matrix

Denominator coefficients of the discrete transfer function. To specify the coefficients, set the Source to Dialog. Then, enter the coefficients in Value as descending powers of z. Use a row vector to specify the coefficients for a single denominator polynomial. Use a matrix to specify coefficients for multiple filters to be applied to the same input. Each matrix row represents a set of filter taps.

When you select the Optimize by skipping divide by leading denominator coefficient (a0) parameter, an error occurs if you specify the denominator coefficients in the block dialog box and a₀ ≠ 1.

Dependencies

To enable this parameter, set the Denominator Source to Dialog.

Programmatic Use

Block Parameter: Denominator

Type: character vector

Values: scalar | vector | matrix

Default: '[1 0.5]'

Initial states Source — Source of initial states

Dialog (default) | Input port

Specify the source of the initial states as Dialog or Input port.

Programmatic Use

Block Parameter: InitialStatesSource

Type: character vector

Values: 'Dialog' | 'Input port'

Default: 'Dialog'

Initial states Value — Initial filter states

0 (default) | scalar | vector | matrix

Specify the initial filter states as a scalar, vector, or matrix. To learn how to specify initial states, see Specifying Initial States.

Dependencies

To enable this parameter, set Initial states Source to Dialog.

Programmatic Use

Block Parameter: InitialStates

Type: character vector

Values: scalar | vector | matrix

Default: '0'

External reset — External state reset

None (default) | Rising | Falling | Either | Level | Level hold

Specify the trigger event to use to reset the states to the initial conditions.

Reset Mode	Behavior
None	No reset
Rising	Reset on a rising edge
Falling	Reset on a falling edge
Either	Reset on either a rising or falling edge
Level	Reset in either of these cases: When the reset signal is nonzero at the current time step When the reset signal value changes from nonzero at the previous time step to zero at the current time step
Level hold	Reset when the reset signal is nonzero at the current time step

Programmatic Use

Block Parameter: ExternalReset

Type: character vector

Values: 'None' | 'Rising' | 'Falling' | 'Either' | 'Level' | 'Level hold'

Default: 'None'

Input processing — Sample- or frame-based processing

Elements as channels (sample based) (default) | Columns as channels (frame based)

Specify whether the block performs sample- or frame-based processing.

• Elements as channels (sample based) — Process each element of the input as an independent channel.

• Columns as channels (frame based) — Process each column of the input as an independent channel.

  Note

  Frame-based processing requires a DSP System Toolbox license.

  For more information, see Sample- and Frame-Based Concepts (DSP System Toolbox).

Programmatic Use

Block Parameter: InputProcessing

Type: character vector

Values: 'Elements as channels (sample based)' | 'Columns as channels (frame based)'

Default: 'Elements as channels (sample based)'

Optimize by skipping divide by leading denominator coefficient (a0) — Skip divide by a0

off (default) | on

When you select this check box, the block does not perform a divide-by-a₀ either in simulation or in the generated code. This parameter optimizes your code. An error occurs if you specify the denominator coefficients in the block dialog box and a₀ ≠ 1.

If you specify the denominator coefficients from the input port Den, you must select the Optimize by skipping divide by leading denominator coefficient (a0) parameter. When you select this checkbox, the block ignores the leading denominator coefficient a₀ and replaces it with a 1.

When you clear this check box, the block is fully tunable during simulation. It performs a divide-by-a₀ in both simulation and code generation.

Programmatic Use

Block Parameter: a0EqualsOne

Type: character vector

Values: 'off' | 'on'

Default: 'off'

Sample time (-1 for inherited) — Interval between samples

-1 (default) | scalar | vector

Specify the time interval between samples. To inherit the sample time, set this parameter to -1. For more information, see Specify Sample Time.

Dependencies

This parameter is visible only if you set it to a value other than -1. To learn more, see Blocks for Which Sample Time Is Not Recommended.

Programmatic Use

To set the block parameter value programmatically, use the set_param function.

Parameter:	SampleTime
Values:	"-1" (default) | scalar or vector in quotes

View Filter Response — View filter response

button

Click this button to open the Filter Visualization Tool (fvtool (DSP System Toolbox)) and display the filter response of the filter defined in the block dialog box.

Dependencies

To enable this parameter, set the Numerator Source and Denominator Source parameters to Dialog.

This parameter appears only if you have a valid DSP System Toolbox license.

Data Types

State — State data type

Inherit: Same as input (default) | int8 | int16 | int32 | int64 | fixdt(1,16,0) | <data type expression>

Specify the state data type. You can set it to:

• A rule that inherits a data type, for example, Inherit: Same as input

• A built-in integer, for example, int8

• A data type object, for example, a Simulink.NumericType object

• An expression that evaluates to a data type, for example, fixdt(1,16,0)

The Data Type Assistant helps you set data attributes. To use the Data Type Assistant, click . For more information, see Specify Data Types Using Data Type Assistant.

Programmatic Use

Block Parameter: StateDataTypeStr

Type: character vector

Values: 'Inherit: Same as input' | 'int8' | 'int16' | 'int32' | 'int64' | 'fixdt(1,16,0)' | '<data type expression>'

Default: 'Inherit: Same as input'

Numerator coefficients — Numerator coefficient data type

Inherit: Inherit via internal rule (default) | int8 | int16 | int32 | int64 | fixdt(1,16) | fixdt(1,16,0) | <data type expression>

Specify the numerator coefficient data type. You can set it to:

• A rule that inherits a data type, for example, Inherit: Inherit via internal rule

• A built-in integer, for example, int8

• A data type object, for example, a Simulink.NumericType object

• An expression that evaluates to a data type, for example, fixdt(1,16,0)

The Data Type Assistant helps you set data attributes. To use the Data Type Assistant, click . For more information, see Specify Data Types Using Data Type Assistant.

Programmatic Use

Block Parameter: NumCoefDataTypeStr

Type: character vector

Values: 'Inherit: Inherit via internal rule' | 'int8' | 'int16' | 'int32' | 'int64' | 'fixdt(1,16)' | 'fixdt(1,16,0)' | '<data type expression>'

Default: 'Inherit: Inherit via internal rule'

Numerator coefficient minimum — Minimum value of numerator coefficients

[] (default) | scalar

Specify the minimum value that a numerator coefficient can have. The default value is [] (unspecified). Simulink^® software uses this value to perform:

• Parameter range checking (see Specify Minimum and Maximum Values for Block Parameters)

• Automatic scaling of fixed-point data types

Programmatic Use

Block Parameter: NumCoefMin

Type: character vector

Values: scalar

Default: '[]'

Numerator coefficient maximum — Maximum value of numerator coefficients

[] (default) | scalar

Specify the maximum value that a numerator coefficient can have. The default value is [] (unspecified). Simulink software uses this value to perform:

• Parameter range checking (see Specify Minimum and Maximum Values for Block Parameters)

• Automatic scaling of fixed-point data types

Programmatic Use

Block Parameter: NumCoefMax

Type: character vector

Values: scalar

Default: '[]'

Numerator product output — Numerator product output data type

Inherit: Inherit via internal rule (default) | Inherit: Same as input | int8 | int16 | int32 | int64 | fixdt(1,16,0) | <data type expression>

Specify the product output data type for the numerator coefficients. You can set it to:

• A rule that inherits a data type, for example, Inherit: Inherit via internal rule

• A built-in data type, for example, int8

• A data type object, for example, a Simulink.NumericType object

• An expression that evaluates to a data type, for example, fixdt(1,16,0)

The Data Type Assistant helps you set data attributes. To use the Data Type Assistant, click . For more information, see Specify Data Types Using Data Type Assistant.

Programmatic Use

Block Parameter: NumProductDataTypeStr

Type: character vector

Values: 'Inherit: Inherit via internal rule' | 'Inherit: Same as input' | 'int8' | 'int16' | 'int32' | 'int64' | 'fixdt(1,16,0)' | '<data type expression>'

Default: 'Inherit: Inherit via internal rule'

Numerator accumulator — Numerator accumulator data type

Inherit: Inherit via internal rule (default) | Inherit: Same as input | Inherit: Same as product output | int8 | int16 | int32 | int64 | fixdt(1,16,0) | <data type expression>

Specify the accumulator data type for the numerator coefficients. You can set it to:

• A rule that inherits a data type, for example, Inherit: Inherit via internal rule

• A built-in data type, for example, int8

• A data type object, for example, a Simulink.NumericType object

• An expression that evaluates to a data type, for example, fixdt(1,16,0)

The Data Type Assistant helps you set data attributes. To use the Data Type Assistant, click . For more information, see Specify Data Types Using Data Type Assistant.

Programmatic Use

Block Parameter: NumAccumDataTypeStr

Type: character vector

Values: 'Inherit: Inherit via internal rule' | 'Inherit: Same as input' | 'Inherit: Same as product output' | 'int8' | 'int16' | 'int32' | 'int64' | 'fixdt(1,16,0)' | '<data type expression>'

Default: 'Inherit: Inherit via internal rule'

Denominator coefficients — Denominator coefficient data type

Inherit: Inherit via internal rule (default) | int8 | int16 | int32 | int64 | fixdt(1,16) | fixdt(1,16,0) | <data type expression>

Specify the denominator coefficient data type. You can set it to:

• A rule that inherits a data type, for example, Inherit: Inherit via internal rule

• A built-in integer, for example, int8

• A data type object, for example, a Simulink.NumericType object

• An expression that evaluates to a data type, for example, fixdt(1,16,0)

The Data Type Assistant helps you set data attributes. To use the Data Type Assistant, click . For more information, see Specify Data Types Using Data Type Assistant.

Programmatic Use

Block Parameter: DenCoefDataTypeStr

Type: character vector

Values: 'Inherit: Inherit via internal rule' | 'int8' | 'int16' | 'int32' | 'int64' | 'fixdt(1,16)' | 'fixdt(1,16,0)' | '<data type expression>'

Default: 'Inherit: Inherit via internal rule'

Denominator coefficient minimum — Minimum value of denominator coefficients

[] (default) | scalar

Specify the minimum value that a denominator coefficient can have. The default value is [] (unspecified). Simulink software uses this value to perform:

• Parameter range checking (see Specify Minimum and Maximum Values for Block Parameters)

• Automatic scaling of fixed-point data types

Programmatic Use

Block Parameter: DenCoefMin

Type: character vector

Values: scalar

Default: '[]'

Denominator coefficient maximum — Maximum value of denominator coefficients

[] (default) | scalar

Specify the maximum value that a denominator coefficient can have. The default value is [] (unspecified). Simulink software uses this value to perform:

• Parameter range checking (see Specify Minimum and Maximum Values for Block Parameters)

• Automatic scaling of fixed-point data types

Programmatic Use

Block Parameter: DenCoefMax

Type: character vector

Values: scalar

Default: '[]'

Denominator product output — Denominator product output data type

Inherit: Inherit via internal rule (default) | Inherit: Same as input | int8 | int16 | int32 | int64 | fixdt(1,16,0) | <data type expression>

Specify the product output data type for the denominator coefficients. You can set it to:

• A rule that inherits a data type, for example, Inherit: Inherit via internal rule

• A built-in data type, for example, int8

• A data type object, for example, a Simulink.NumericType object

• An expression that evaluates to a data type, for example, fixdt(1,16,0)

The Data Type Assistant helps you set data attributes. To use the Data Type Assistant, click . For more information, see Specify Data Types Using Data Type Assistant.

Programmatic Use

Block Parameter: DenProductDataTypeStr

Type: character vector

Values: 'Inherit: Inherit via internal rule' | 'Inherit: Same as input' | 'int8' | 'int16' | 'int32' | 'int64' | 'fixdt(1,16,0)' | '<data type expression>'

Default: 'Inherit: Inherit via internal rule'

Denominator accumulator — Denominator accumulator data type

Inherit: Inherit via internal rule (default) | Inherit: Same as input | Inherit: Same as product output | int8 | int16 | int32 | int64 | fixdt(1,16,0) | <data type expression>

Specify the accumulator data type for the denominator coefficients. You can set it to:

• A rule that inherits a data type, for example, Inherit: Inherit via internal rule

• A built-in data type, for example, int8

• A data type object, for example, a Simulink.NumericType object

• An expression that evaluates to a data type, for example, fixdt(1,16,0)

The Data Type Assistant helps you set data attributes. To use the Data Type Assistant, click . For more information, see Specify Data Types Using Data Type Assistant.

Programmatic Use

Block Parameter: DenAccumDataTypeStr

Type: character vector

Values: 'Inherit: Inherit via internal rule' | 'Inherit: Same as input' | 'Inherit: Same as product output' | 'int8' | 'int16' | 'int32' | 'int64' | 'fixdt(1,16,0)' | '<data type expression>'

Default: 'Inherit: Inherit via internal rule'

Output — Output data type

Inherit: Inherit via internal rule (default) | Inherit: Same as input | int8 | int16 | int32 | int64 | fixdt(1,16) | fixdt(1,16,0) | <data type expression>

Specify the output data type. You can set it to:

• A rule that inherits a data type, for example, Inherit: Inherit via internal rule

• A built-in data type, for example, int8

• A data type object, for example, a Simulink.NumericType object

• An expression that evaluates to a data type, for example, fixdt(1,16,0)

The Data Type Assistant helps you set data attributes. To use the Data Type Assistant, click . For more information, see Specify Data Types Using Data Type Assistant.

Programmatic Use

Block Parameter: OutDataTypeStr

Type: character vector

Values: 'Inherit: Inherit via internal rule' | 'Inherit: Same as input' | 'int8' | 'int16' | 'int32' | 'int64' | 'fixdt(1,16)' | 'fixdt(1,16,0)' | '<data type expression>'

Default: 'Inherit: Inherit via internal rule'

Output minimum — Minimum value of output

[] (default) | scalar

Specify the minimum value that the block can output. The default value is [] (unspecified). Simulink uses this value to perform:

• Simulation range checking (see Specify Signal Ranges)

• Automatic scaling of fixed-point data types

Programmatic Use

Block Parameter: OutMin

Type: character vector

Values: scalar

Default: '[]'

Output maximum — Maximum value of output

[] (default) | scalar

Specify the maximum value that the block can output. The default value is [] (unspecified). Simulink uses this value to perform:

• Simulation range checking (see Specify Signal Ranges)

• Automatic scaling of fixed-point data types

Programmatic Use

Block Parameter: OutMax

Type: character vector

Values: scalar

Default: '[]'

Lock data type settings against changes by the fixed-point tools — Prevent fixed-point tools from overriding data types

off (default) | on

Select this parameter to prevent the fixed-point tools from overriding the data types you specify on this block. For more information, see Lock the Output Data Type Setting (Fixed-Point Designer).

Programmatic Use

Block Parameter: LockScale

Type: character vector

Values: 'off' | 'on'

Default: 'off'

Integer rounding mode — Rounding mode for fixed-point operations

Floor (default) | Ceiling | Convergent | Nearest | Round | Simplest | Zero

Specify the rounding mode for fixed-point operations. For more information, see Rounding Modes (Fixed-Point Designer).

Block parameters always round to the nearest representable value. To control the rounding of a block parameter, enter an expression using a MATLAB^® rounding function into the mask field.

Programmatic Use

To set the block parameter value programmatically, use the set_param function.

Parameter:	RndMeth
Values:	'Floor' (default) | 'Ceiling' | 'Convergent' | 'Nearest' | 'Round' | 'Simplest' | 'Zero'

Saturate on integer overflow — Method of overflow action

off (default) | on

Specify whether overflows saturate or wrap.

• on — Overflows saturate to either the minimum or maximum value that the data type can represent.

• off — Overflows wrap to the appropriate value that the data type can represent.

For example, the maximum value that the signed 8-bit integer int8 can represent is 127. Any block operation result greater than this maximum value causes overflow of the 8-bit integer.

• With this parameter selected, the block output saturates at 127. Similarly, the block output saturates at a minimum output value of -128.

• With this parameter cleared, the software interprets the overflow-causing value as int8, which can produce an unintended result. For example, a block result of 130 (binary 1000 0010) expressed as int8 is -126.

Tips

• Consider selecting this parameter when your model has a possible overflow and you want explicit saturation protection in the generated code.

• Consider clearing this parameter when you want to optimize efficiency of your generated code. Clearing this parameter also helps you to avoid overspecifying how a block handles out-of-range signals. For more information, see Troubleshoot Signal Range Errors.

• When you select this parameter, saturation applies to every internal operation on the block, not just the output or result.

• In general, the code generation process can detect when overflow is not possible. In this case, the code generator does not produce saturation code.

Programmatic Use

To set the block parameter value programmatically, use the set_param function.

Parameter:	SaturateOnIntegerOverflow
Values:	'off' (default) | 'on'

State Attributes

State name — Unique name for block state

'' (default) | alphanumeric string

Use this parameter to assign a unique name to the block state. The default is ' '. When this field is blank, no name is assigned. When using this parameter, remember these considerations:

• A valid identifier starts with an alphabetic or underscore character, followed by alphanumeric or underscore characters.

• The state name applies only to the selected block.

This parameter enables State name must resolve to Simulink signal object when you click Apply.

For more information, see C Data Code Interface Configuration for Model Interface Elements (Simulink Coder).

Programmatic Use

Block Parameter: StateName

Type: character vector

Values: unique name

Default: ''

State name must resolve to Simulink signal object — Require state name resolve to a signal object

off (default) | on

Select this check box to require that the state name resolves to a Simulink signal object.

Dependencies

To enable this parameter, specify a value for State name. This parameter appears only if you set the model configuration parameter Signal resolution to a value other than None.

Programmatic Use

Block Parameter: StateMustResolveToSignalObject

Type: character vector

Values: 'off' | 'on'

Default: 'off'

Block Characteristics

Data Types	double | fixed pointa | integera | single
Direct Feedthrough	no
Multidimensional Signals	no
Variable-Size Signals	yes
Zero-Crossing Detection	no
a This block only supports signed fixed-point data types.

More About

Model Coverage

If you have a Simulink Coverage™ license, the Discrete Transfer Fcn block receives decision coverage if you set the External reset block parameter to any option except for None. If your model uses a State Control (HDL Coder) block, you cannot collect coverage for external reset port when the State control parameter is Synchronous.

Decision coverage measures a true outcome for time steps where the block resets and a false outcome for time steps where the block does not reset. To receive 100% decision coverage, the block must reset for at least one time step and not reset for at least one time step.

If you select the Saturation on integer overflow (Simulink Coverage) parameter, the Discrete Transfer Fcn block receives saturation on integer overflow coverage. For more information, see Saturate on Integer Overflow Coverage (Simulink Coverage).

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

HDL Code Generation

Generate VHDL, Verilog and SystemVerilog code for FPGA and ASIC designs using HDL Coder™.

HDL Coder™ provides additional configuration options that affect HDL implementation and synthesized logic.

HDL Architecture

This block has one default HDL architecture.

HDL Block Properties

General
ConstMultiplierOptimization	Canonical signed digit (CSD) or factored CSD optimization. The default is none. See also ConstMultiplierOptimization (HDL Coder).
ConstrainedOutputPipeline	Number of registers to place at the outputs by moving existing delays within your design. Distributed pipelining does not redistribute these registers. The default is 0. For more details, see ConstrainedOutputPipeline (HDL Coder).
InputPipeline	Number of input pipeline stages to insert in the generated code. Distributed pipelining and constrained output pipelining can move these registers. The default is 0. For more details, see InputPipeline (HDL Coder).
OutputPipeline	Number of output pipeline stages to insert in the generated code. Distributed pipelining and constrained output pipelining can move these registers. The default is 0. For more details, see OutputPipeline (HDL Coder).

Native Floating Point
HandleDenormals	Specify whether you want HDL Coder to insert additional logic to handle denormal numbers in your design. Denormal numbers are numbers that have magnitudes less than the smallest floating-point number that can be represented without leading zeros in the mantissa. The default is inherit. See also HandleDenormals (HDL Coder).
LatencyStrategy	Specify whether to map the blocks in your design to inherit, Max, Min, or Zero for the floating-point operator. The default is inherit. See also LatencyStrategy (HDL Coder).
MantissaMultiplyStrategy	Specify how to implement the mantissa multiplication operation during code generation. By using different settings, you can control the DSP usage on the target FPGA device. The default is inherit. See also MantissaMultiplyStrategy (HDL Coder).

Restrictions

• Double data types are not supported for this block. Use single data types instead.

• Frame, matrix, and vector input data types are not supported.

• The leading denominator coefficient (a0) must be 1 or -1.

• Setting the data type as Inherit: Inherit via internal rule is not supported.

The Discrete Transfer Fcn block is excluded from the following optimizations:

• Resource sharing

• Distributed pipelining

PLC Code Generation
Generate Structured Text code using Simulink® PLC Coder™.

Fixed-Point Conversion

Design and simulate fixed-point systems using Fixed-Point Designer™.

This block only supports signed fixed-point data types.

Version History

Introduced before R2006a

R2024b: View filter response

Click the View Filter Response button to visualize the frequency response of the filter that you specify in the block dialog box.

R2024a: The Discrete Transfer Fcn block supports variable-size input signals

The Discrete Transfer Fcn block supports variable-size input signals when you set the Input processing parameter to Columns as channels (frame based).

When the input is a variable-size signal, you can change the frame size (number of rows) of the signal during simulation but the number of channels (columns) must remain constant.

R2023b: Conditional display of the Sample time parameter

The Discrete Transfer Fcn block no longer displays the Sample time parameter in the block parameters dialog box by default. The parameter is visible only if you set the sample time to a value other the default value (-1) at the command line or in an existing model. For more information, see Blocks for Which Sample Time Is Not Recommended.