# dutycycle

Duty cycle of pulse waveform

## Syntax

## Description

returns the ratio of pulse width to pulse period for each positive-polarity pulse. The
function identifies all regions that cross the upper-state boundary of the low state and
the lower-state boundary of the high state. To determine the transitions that define each
pulse, `d`

= dutycycle(`x`

)`dutycycle`

estimates the state levels of `x`

by a histogram method. The low-state and high-state boundaries are expressed as the state
level plus or minus a scalar multiple of the difference between the state levels. See
State-Level Tolerances for more details.

`[`

with any input arguments from previous syntaxes also returns:`d`

,`initcross`

,`finalcross`

,`nextcross`

,`midlev`

]
= dutycycle(___)

A vector,

`initcross`

, whose elements correspond to the mid-crossings (mid-reference level instants) of the initial transition of each pulse with a corresponding`nextcross`

.A vector,

`finalcross`

, whose elements correspond to the mid-crossings (mid-reference level instants) of the final transition of each pulse with a corresponding`nextcross`

.A vector,

`nextcross`

, whose elements correspond to the mid-crossings (mid-reference level instants) of the next detected transition for each pulse.A scalar,

`midlev`

, that corresponds to the mid-reference level.

```
[___]
= dutycycle(___,
```

returns the ratio of pulse width to pulse period with additional options specified by one
or more `Name,Value`

)`Name,Value`

pair arguments.

`dutycycle(___)`

plots the waveform, the location of
the mid-reference level instants, the associated reference levels, the state levels, and
the associated lower and upper state boundaries.

## Examples

## Input Arguments

## Output Arguments

## More About

## References

[1] Skolnik, M. I.
*Introduction to Radar Systems*. New York, NY: McGraw-Hill, 1980.

[2] *IEEE ^{®} Standard on Transitions, Pulses, and Related Waveforms*. IEEE
Standard 181, 2003.

## Extended Capabilities

## Version History

**Introduced in R2012a**