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Repeating Sequence

Generate arbitrarily shaped periodic signal

  • Repeating Sequence block

Simulink / Sources


The Repeating Sequence block outputs a periodic scalar signal having a waveform that you specify using the Time values and Output values parameters. The Time values parameter specifies a vector of output times. The Output values parameter specifies a vector of signal amplitudes at the corresponding output times. Together, the two parameters specify a sampling of the output waveform at points measured from the beginning of the interval over which the waveform repeats (the period of the signal).

By default, both parameters are [0 2]. These default settings specify a sawtooth waveform that repeats every 2 seconds from the start of the simulation and has a maximum amplitude of 2.


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This example shows how you specify a waveform with the Repeating Sequence block. In this model, the block defines the Time values parameter as [0:0.1:0.5] and the Output values parameter as [0 15 25 09 13 17]. The stop time of the simulation is 0.7 second.

  • Input period is 0.5.

  • Output at any time t is the output at time t = t-0.5n, where n = 0,1,2, and so on.

  • Sequence repeats at t = 0.5n.

At t = 0.5, the expected output is equal to the output at t = 0, which is 0. Therefore, the last value in the Output values parameter vector [0 15 25 09 13 17] does not appear.



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Output signal specified by the Time values and Output values parameters to create a periodic scalar signal.

Data Types: double


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Vector of strictly monotonically increasing time values. The period of the generated waveform is the difference of the last and first values of this parameter.

Programmatic Use

Block Parameter: rep_seq_t
Type: character vector
Values: vector
Default: [0 2]

Vector of output values that specify the output waveform. Each element corresponds to the time value in the Time valuesparameter.

Programmatic Use

Block Parameter: rep_seq_y
Type: character vector
Values: vector
Default: [0 2]

Block Characteristics

Data Types


Direct Feedthrough


Multidimensional Signals


Variable-Size Signals


Zero-Crossing Detection



The block sets the input period as the difference between the first and last value of the Time values parameter. The output at any time t is the output at time t = t-n*period, where n is an integer. The sequence repeats at t = n*period. The block uses linear interpolation to compute the value of the waveform between the output times that you specify.

Extended Capabilities

Version History

Introduced before R2006a