# sinc: Sinc Function In phonTools: Tools for Phonetic and Acoustic Analyses

 sinc R Documentation

## Sinc Function

### Description

Sample the sinc function at given points

### Usage

``````sinc (x, normalized = FALSE)
``````

### Arguments

 `x` A vector of x-axis points at which the sinc function will be sampled. `normalized` If TRUE, a normalized sinc function is returned.

### Details

The formula for the unnormalized sinc function is y = sin(x)/x.

The formula for the normalized sinc function is y = sin(x*pi)/(x*pi).

### Value

A vector containing y-axis values for each specified x-axis value is returned.

### Author(s)

Santiago Barreda <sbarreda@ucdavis.edu>

### References

http://en.wikipedia.org/wiki/Sinc_function

Lyons, R. G. (2004). Understanding Digital Signal Processing (2nd ed.). Prentice Hall.

### Examples

``````#x = seq(-20,20,.1)
## generate both forms of the sinc function between -20 and 20
#y1 = sinc (x)
#y2 = sinc (x, normalized = TRUE)
## the unnormalized sinc function has zero crossing at
## integer multiples of pi
#plot (x,y1, type = 'b')
## the normalized sinc function has zero crossing at integers
#lines (x,y2, type = 'b', col = 4)
#abline (h = 0)
``````

phonTools documentation built on Nov. 21, 2023, 1:07 a.m.