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The Exorcist filter is an advanced tool to remove ghost copy of the audio signal in case of bad RF or video connection.
The Exorcist filter is based on the number of high pass filter steps and also on the difference of even/odd or high/low.
If the distance between source and listener is less than
the distance between source and the reflecting objects (like big building, or some big object) then the ghost signal can be filtered by one to two steps high pass filter.
The result can be heard as a whistling noise.
The filter works best when the noise source is exactly on the same position as the signal source.
The best is a real ghost copy of the audio signal.
Please use the low pass or the band pass version instead if the filter is not doing its job.
The band pass version of the Exorcist has two options to use:
band pass – with even steps
band pass – with odd steps
Examples
Here is an example, that shows that the Exorcist filter is working
A:
This is a biquad filter, aka a second order digital filter. That is to say, there are poles at both sine and cosine frequencies. You can create a biquad filter with one set of filter coefficients, for instance:
$$\begin{align}
c_0 &= \frac{ -1}{\pi} \\
c_1 &= -\frac{1}{4} \\
c_2 &= \frac{1}{\pi} \\
\end{align}
$$
This will create a filter that looks something like:
The digital filter I’m using as an example is also known as a Butterworth filter. It uses this design.
The filter you provided is very simple, it uses only a filter with two poles at the sine frequency and another filter with two poles at the cosine frequency. That means the filter coefficients are:
$$\begin{align}
c_0 &= \frac{ -1}{\pi} \\
c_1 &= -\frac{1}{2} \\
c_2 &= \frac{1}{\pi}
\end{align}
$$
You can plot the design as an impulse response by using MATLAB’s fir1 function:
>> fir1(c)
ans =
0.5 ce698b3d9e
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