Delay input signal by fixed or variable sample periods (2024)

Table of Contents
Description Initial Block Output Behavior with External Enable Signal Variable-Size Support Bus Support String Support Examples Using Variable-Size Signals on the Delay Block Buses with the Delay Block for Frame-Based Processing Control Execution of Delay Block with Enable Port Ports Input u — Data input signalscalar | vector d — Delay length scalar Enable — External enable signal scalar External reset — External reset signal scalar x0 — Initial condition scalar | vector Output Port_1 — Output signalscalar | vector Parameters Main Delay length — Delay lengthDialog (default) | Input port Initial condition — Initial condition Dialog (default) | Input port Input processing — Specify sample- or frame-based processing Elements as channels (sample based) (default) | Columns as channels (frame based) Use circular buffer for state — Circular buffer for storing state off (default) | on Prevent direct feedthrough — Prevent direct feedthrough off (default) | on Remove delay length check in generated code — Remove delay length out-of-range check off (default) | on Diagnostic for delay length — Diagnostic checks for delay length None (default) | Warning | Error Show enable port — Create enable port off (default) | on External reset — External state reset None (default) | Rising | Falling | Either | Level | Level hold Sample time (-1 for inherited) — Discrete interval between sample time hits -1 (default) | scalar State Attributes State name — Unique name for block state'' (default) | alphanumeric string State name must resolve to Simulink signal object — Require state name resolve to a signal objectoff (default) | on Block Characteristics 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™. PLC Code Generation Generate Structured Text code using Simulink® PLC Coder™. Fixed-Point ConversionDesign and simulate fixed-point systems using Fixed-Point Designer™. Version History See Also Topics MATLAB Command Americas Europe Asia Pacific

Delay input signal by fixed or variable sample periods

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  • Delay input signal by fixed or variable sample periods (1)

Libraries:
Simulink / Commonly Used Blocks
Simulink / Discrete
DSP System Toolbox / Signal Operations
HDL Coder / Commonly Used Blocks
HDL Coder / Discrete

Description

The Delay block outputs the input of the block after a delay. The blockdetermines the delay time based on the value of the Delay lengthparameter. The block supports:

  • Variable delay length

  • Specification of the initial condition from an input port

  • State storage

  • Using a circular buffer instead of an array buffer for state storage

  • Resetting the state to the initial condition with an external resetsignal

  • Controlling execution of the block at every time step with an external enablesignal

The initial block output depends on several factors such as the Initialcondition parameter and the simulation start time. For more information,see Initial Block Output. The External reset parameterdetermines if the block output resets to the initial condition on triggering. TheShow enable port parameter determines if the block execution iscontrolled in every time step by an external enable signal.

Initial Block Output

The output in the first few time steps of the simulation depends on the blocksample time, the delay length, and the simulation start time. The block supportsspecifying or inheriting discrete sample times to determine the time intervalbetween samples. For more information, see Specify Sample Time.

The table shows the Delay block output for the first few time steps with thesesettings. The block inherits a discrete sample time as[Tsampling,Toffset],where Tsampling is the sampling periodand Toffset is the initial timeoffset. n is the value of the Delaylength parameter andTstart is the simulation starttime for the model

Simulation Time RangeBlock Output

(Tstart) to(Tstart +Toffset)

Zero

(Tstart +Toffset) to(Tstart +Toffset +n *Tsampling)

Initial conditionparameter

After (Tstart +Toffset +n *Tsampling)

Input signal

Behavior with External Enable Signal

Selecting the Show enable port check box enables the Enableport. If the enable port is enabled, the block operates in this order

  1. Checks if the enable condition is satisfied.

  2. If the reset port is enabled, checks the reset condition.

  3. Performs the Delay block functionality.

The block has this operation with the Enable port:

  • At the first block enable, the block output is the initial condition value(x0).

  • For consecutive enable signals, the block takes the last state of theinput signal u.

  • If the port is not enabled at the start of simulation, theDelay block outputs 0.

  • During simulation, if the port becomes disabled after having been enabled,the block does not execute and holds its last value.

Variable-Size Support

The Delay block provides the following support for variable-sizesignals:

  • The data input port u accepts variable-size signals.The other input ports do not accept variable-size signals.

  • The output port has the same signal dimensions as the data input portu for variable-size inputs.

The rules that apply to variable-size signals depend on the input processing modeof the Delay block.

Input Processing ModeRules for Variable-Size Signal Support
Elements as channels (sample based)
  • The signal dimensions change only during state resetwhen the block is enabled.

  • The initial condition must be scalar.

Columns as channels (frame based)
  • No support

Bus Support

The Delay block provides the following support for bussignals:

  • The data input u accepts virtual and nonvirtual bussignals. Other than input port x0, the other input portsdo not accept bus signals.

  • The initial condition x0 port accepts nonvirtual bussignals.

  • The output port has the same bus type as the data input portu for bus inputs.

  • Buses work with:

    • Sample-based and frame-based processing

    • Fixed and variable delay length

    • Array and circular buffers

To use a bus signal as the input to a Delay block, specify theinitial condition on the dialog box or through the x0 port.Support for virtual and nonvirtual buses depends on the initial condition that youspecify and whether the State name parameter is empty or not.For the x0 input port, only nonvirtual buses aresupported.

Initial ConditionState Name
EmptyNot Empty
ZeroVirtual and nonvirtual bus supportNonvirtual bus support only
Nonzero scalarVirtual and nonvirtual bus supportNo bus support
NonscalarNo bus supportNo bus support
StructureVirtual and nonvirtual bus supportNonvirtual bus support only
Partial structureVirtual and nonvirtual bus supportNonvirtual bus support only

String Support

The Delay block can accept and output string data type onlyif:

  • The block is configured for the default value of the Initialcondition parameter (0).

  • The Delay length value is 1 or less.

Examples

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Open Model

This example shows how the Delay block supports variable-size signals for sample-based processing. The Switch block controls whether the input signal to the enabled subsystem is a 3-by-3 or 3-by-2 matrix.

Delay input signal by fixed or variable sample periods (2)

The Delay block appears inside the enabled subsystem.

Delay input signal by fixed or variable sample periods (3)

The model follows these rules for variable-size signals while using sample-based processing.

  • Signal dimensions change only during state reset when the block is enabled.

  • Initial condition must be scalar.

The rules are implemented by these blocks.

  • Enable block sets Propagate sizes of variable-size signals to Only when enabling.

  • Delay block sets the Initial condition to the scalar value 0.0.

Open Model

This example shows how the Delay block supports buses for frame-based processing.

Delay input signal by fixed or variable sample periods (4)

Each Constant block supplies an input signal to the Bus Creator block, which outputs a two-dimensional bus. After the Delay block delays the bus by three sample periods, the Bus Selector block separates the bus back into the two original signals.

The model follows these rules for buses:

  • For the initial condition, set the value on the dialog box.

  • For frame-based processing, signal dimensions of the data input port u cannot be larger than two.

The model implements the rules by:

  • Setting Initial condition to a scalar value of 0.

  • Setting bus input to the Delay block as two dimensions.

Open Model

This example shows how you can enable or disable the execution of the Delay block using an enable port. In this model, a ramp input signal feeds into a Delay block. The execution of the block is controlled by an enabling signal from the Pulse Generator block.

Delay input signal by fixed or variable sample periods (5)

Delay input signal by fixed or variable sample periods (6)

The blue line shows that the Delay block outputs the input signal value delayed by one time step while the enabling signal has a value of one. At t=5 the enabling signal transitions to zero and the Delay block stops executing. The output is held at the last value until the block is enabled again.

Ports

Input

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Input data signal delayed according to parameters settings.

Data Types: half | single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | string | Boolean | fixed point | enumerated | bus

Delay length specified as inherited from an input port. Enabled whenyou select the Delay length: Source parameter asInput port.

Data Types: half | single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | fixed point

Enable signal that enables or disables execution of the block. Tocreate this port, select the Show enable portparameter.

Data Types: half | single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | Boolean | fixed point

External signal that resets execution of the block to the initialcondition. To create this port, select the Externalreset parameter.

Data Types: half | single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | Boolean | fixed point

Initial condition specified as inherited from an input port. Enabledwhen you select the Initial Condition: Sourceparameter as Input port.

Data Types: half | single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | fixed point | bus

Output

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Output signal that is the input signal delayed by the length of timespecified by the parameter Delay length. Theinitial value of the output signal depends on several conditions. SeeInitial Block Output.

Data Types: half | single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | string | Boolean | fixed point | enumerated | bus

Parameters

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Main

Specify whether to enter the delay length directly on the dialog box(fixed delay) or to inherit the delay from an input port (variabledelay).

  • If you set Source toDialog, enter the delay length inthe edit field under Value.

  • If you set Source to Inputport, verify that an upstream signal suppliesa delay length for the d input port. You canalso specify its maximum value by specifying the parameterUpper limit.

Specify the scalar delay length as a real, non-negative integer. Anout-of-range or non-integer value in the dialog box (fixed delay)returns an error. An out-of-range value from an input port (variabledelay) casts it into the range. A noninteger value from an input port(variable delay) truncates it to the integer.

Programmatic Use

Block Parameter:DelayLengthSource
Type: charactervector
Values:'Dialog' | 'Inputport'
Default:'Dialog'
Block Parameter:DelayLength
Type: charactervector
Values: scalar
Default:'2'
Block Parameter:DelayLengthUpperLimit
Type: charactervector
Values: scalar
Default:'100'

Specify whether to enter the initial condition directly on the dialogbox or to inherit the initial condition from an input port.

  • If you set Source toDialog, enter the initialcondition in the edit field underValue.

  • If you set Source to Inputport, verify that an upstream signal suppliesan initial condition for the x0 inputport.

Simulink® converts offline the data type of Initialcondition to the data type of the input signalu using a round-to-nearest operation andsaturation.

Note

When State name must resolve to Simulink signalobject is selected on the StateAttributes pane, the block copies the initial valueof the signal object to the Initial conditionparameter. However, when the source for Initialcondition is Input port,the block ignores the initial value of the signal object.

Programmatic Use

Block Parameter:InitialConditionSource
Type: charactervector
Values:'Dialog' | 'Inputport'
Default:'Dialog'
Block Parameter:InitialCondition
Type: charactervector
Values: scalar
Default:'0.0'

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

  • Columns as channels (frame based) — Treat each column of the input as a separate channel (frame-based processing).

    Note

    Frame-based processing requires a DSP System Toolbox™ license.

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

  • Elements as channels (sample based) — Treat each element of the input as a separate channel (sample-based processing).

Use Input processing to specify whether the block performs sample- or frame-based processing. For more information about these two processing modes, see Sample- and Frame-Based Concepts (DSP System Toolbox).

Programmatic Use

Block Parameter: InputProcessing
Type: character vector
Values: 'Columns as channels (frame based)' | 'Elements as channels (sample based)'
Default: 'Elements as channels (sample based)'

Select to use a circular buffer for storing the state in simulationand code generation. Otherwise, an array buffer stores the state.

Using a circular buffer can improve execution speed when the delaylength is large. For an array buffer, the number of copy operationsincreases as the delay length goes up. For a circular buffer, the numberof copy operations is constant for increasing delay length.

If one of the following conditions is true, an array buffer alwaysstores the state because a circular buffer does not improve executionspeed.

  • For sample-based signals, the delay length is 1.

  • For frame-based signals, the delay length is no larger thanthe frame size.

Programmatic Use

Block Parameter:UseCircularBuffer
Type: charactervector
Values:'off' | 'on'
Default:'off'

Select to increase the delay length from zero to the lower limit forthe Input processing mode.

  • For sample-based signals, increase the minimum delay length to1.

  • For frame-based signals, increase the minimum delay length tothe frame length.

Selecting this check box prevents direct feedthrough from the inputport, u, to the output port. However, this check boxcannot prevent direct feedthrough from the initial condition port,x0, to the output port.

Dependency

To enable this parameter, set Delay length:Source to Inputport.

Programmatic Use

Block Parameter:PreventDirectFeedthrough
Type: charactervector
Values:'off' | 'on'
Default:'off'

Select to remove code that checks for out-of-range delaylength.

Check BoxResultWhen to Use

Selected

Generated code does not include conditionalstatements to check for out-of-range delaylength.

For code efficiency

Cleared

Generated code includes conditional statementsto check for out-of-range delaylength.

For safety-critical applications

Dependency

To enable this parameter, set Delay length:Source to Inputport.

Programmatic Use

Block Parameter:RemoveDelayLengthCheckInGeneratedCode
Type: charactervector
Values:'off' | 'on'
Default:'off'

Specify whether to produce a warning or error when the inputd is less than the lower limit or greater thanthe Delay length: Upper limit. The lower limitdepends on the setting for Prevent directfeedthrough.

  • If the check box is cleared, the lower limit is zero.

  • If the check box is selected, the lower limit is 1 forsample-based signals and frame length for frame-basedsignals.

Options for the diagnostic include:

  • None — Simulink software takes no action.

  • Warning — Simulink software displays a warning and continues thesimulation.

  • Error — Simulink software terminates the simulation and displays anerror.

Dependency

To enable this parameter, set Delay length:Source to Inputport.

Programmatic Use

Block Parameter:DiagnosticForDelayLength
Type: charactervector
Values:'None' | 'Warning' |'Error'
Default:'None'

Select to control execution of this block with an enable port. The block is considered enabled when the input to this port is nonzero, and is disabled when the input is 0. The value of the input is checked at the same time step as the block execution.

Programmatic Use

Block Parameter: ShowEnablePort
Type: character vector
Values: 'off' | 'on'
Default: 'off'

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

Reset ModeBehavior
NoneNo reset
RisingReset on a rising edge
FallingReset on a falling edge
EitherReset 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 holdReset 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'

Specify the time interval between samples. To inherit the sample time,set this parameter to -1. This block supportsdiscrete sample time, but not continuous sample time.

Programmatic Use

Block Parameter:SampleTime
Type: charactervector
Value: real scalar
Default:'-1'

State Attributes

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: ''

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

Boolean | bus | double | enumerated | fixed point | half | image | integer | single | string

Direct Feedthrough

noa

Multidimensional Signals

yes

Variable-Size Signals

yes

Zero-Crossing Detection

no

aPorts of this block have different direct feedthrough characteristics.

Extended Capabilities

Generated code relies on memcpy ormemset functions (string.h) undercertain conditions.

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

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

Version History

Introduced before R2006a

See Also

Resettable Delay | Unit Delay | Variable Integer Delay | Tapped Delay

Topics

  • Using Enabled Subsystems

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Delay input signal by fixed or variable sample periods (7)

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Delay input signal by fixed or variable sample periods (2024)
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