# phasedelay

Phase delay of digital filter

## Syntax

## Description

`[`

returns the `phi`

,`w`

] = phasedelay(`B,A`

,"ctf",`n`

)`n`

-point phase delay response of the digital filter
represented as Cascaded Transfer Functions (CTF) with numerator coefficients `B`

and denominator coefficients
`A`

.* (since R2024b)*

`phasedelay(___)`

plots the phase
delay response versus frequency.

## Examples

## Input Arguments

## Output Arguments

## More About

## Tips

## Algorithms

The *phase delay response* of a filter corresponds to the time delay
that each frequency component experiences as the input signal passes through the system. The
`phasedelay`

function returns the phase delay response and the frequency
vector of the filter

$$H({e}^{j\omega})=\frac{B({e}^{j\omega})}{A({e}^{j\omega})}=\frac{\text{b}(1)+\text{b}(2){e}^{-j\omega}+\dots +\text{b}(\text{m}+1){e}^{-jm\omega}}{\text{a}(1)+\text{a}(2){e}^{-j\omega}+\dots +\text{a}(\text{n}+1){e}^{-jn\omega}}$$

given numerator and denominator coefficients in inputs
`b`

and `a`

.

## References

[1] Lyons, Richard G. *Understanding Digital Signal Processing*. Upper
Saddle River, NJ: Prentice Hall, 2004.

## Version History

**Introduced before R2006a**