# fir2

Frequency sampling-based FIR filter design

## Description

returns
an `b`

= fir2(`n`

,`f,m`

)`n`

th-order FIR filter with frequency-magnitude
characteristics specified in the vectors `f`

and `m`

.
The function linearly interpolates the desired frequency response
onto a dense grid and then uses the inverse Fourier transform and
a Hamming window to obtain the filter coefficients.

## Examples

## Input Arguments

## Output Arguments

## Algorithms

`fir2`

uses frequency sampling to design filters.
The function interpolates the desired frequency response linearly
onto a dense, evenly spaced grid of length `npt`

. `fir2`

also
sets up regions of `lap`

points around repeated
values of `f`

to provide steep but smooth transitions.
To obtain the filter coefficients, the function applies an inverse
fast Fourier transform to the grid and multiplies by `window`

.

## References

[1] Jackson, L. B.
*Digital Filters and Signal Processing*. 3rd Ed. Boston: Kluwer
Academic Publishers, 1996.

[2] Mitra, Sanjit K. *Digital Signal Processing:
A Computer Based Approach*. New York: McGraw-Hill, 1998.

## Extended Capabilities

## See Also

`butter`

| `cheby1`

| `cheby2`

| `designfilt`

| `ellip`

| `filter`

| `fir1`

| `hamming`

| `maxflat`

| `firpm`

| `yulewalk`

**Introduced before R2006a**