## Creating Bandpass Bessel Filter with MATLAB

Bessel filters are incredibly useful in numerical analysis, especially for acoustic-type waveforms. This is because analog Bessel filters are characterized by almost constant group delay over *any* frequency band, and this means that the shape of waves does not change when passed through such a filter.

Well, MATLAB provides some of the building blocks required to create a bandpass analog filter, but does not actually combine the pieces to make a usable filter function.

I created a function for my own research (sourced from pieces I found elsewhere, but it’s been too long—I don’t remember where I found each piece, sorry!), and can be found at my MATLAB repository, specifically, here.

Here’s the documentation that I included with the function:

```
besselfilter. Function to implement a bandpass Bessel Filter.
[filtData, b, a] = besselfilter(order,low,high,sampling,data)
Inputs:
- order: Number of poles in the filter. Scalar numeric value.
Eg.: 4
- low: Lower frequency bound (Hz). Scalar numeric value.
Eg.: 50000 (= 50kHz)
- high: Upper frequency bound (Hz). Scalar numeric value.
Eg.: 1000000 (= 1MHz)
- sampling: Sampling frequency (Hz). Scalar numeric value.
Eg.: 25000000 (= 25MHz)
- data: Input data. Numeric vector.
Eg.: data vector of size (n x 1)
Output:
- filtData: Output filtered data. Numeric vector.
Eg.: data vector of size (n x 1)
- b, a: Transfer function values for the filter. Scalar numeric.
```