File: "Nonlinear-Maximizer-Deluxe.ny" (in the attachment)

Nonlinear Maximizer Deluxe is a new improved version of Nonlinear Maximizer.

Now it works faster and better. It produces incredibly good results for

speech recordings. Perhaps, it may perform a high quality compression of

music too, although, of course, digital music processing is a very special

sort of alchemy. In this case, the old Nonlinear Maximizer can be utilized

as a limiter and Nonlinear Maximizer Deluxe as a "loudness maximizer". It

can do this in a very gentle way.

The compression curves for Nonlinear Maximizer Deluxe, Nonlinear Maximizer, and

Band Pass Filter for Audacity are available (free and open source). They can be

delivered as an e-mail attachment together with a wxMaxima "worksheet" (html-file

with math expressions and Maxima commands).

Any compressor inevitably amplifies subsonic frequencies along with low and high

frequencies. In theory, humans do not hear subsonic frequencies, but, in practice,

they surely feel them. That is why, perhaps, "normal human beings" cannot listen

to modern music. You can easily attenuate those nasty frequencies with Equalizer.

The purpose of Nonlinear Maximizer is to increase loudness. It can be used instead of Leveller

for compressing speech recordings made with iRiver E100. In this case, try maximal settings,

but do not forget to apply a deep Band Pass Filter (before and after).

How to process iRiver E100 recordings:

1. drug-and-drop your wma-file into Audacity (v.1.3.6);

2. switch to 32-bit resolution;

3. remove DC offset (with Normalizer);

4. apply Band Pass Filter;

5. apply Low Pass Filter (8kHz, 6dB);

6. apply Noise Removal with default settings (3 times);

7. apply Band Pass Filter;

8. normalize wave to 0dB;

9. apply Band Pass Filter;

10. apply the Maximizer;

11. apply Band Pass Filter.

If you need a greater compression, apply Nonlinear Maximizer several times.

HOW IT WORKS

Nonlinear Maximizer performs smooth non-linear transformation of the sound rather

than classic compression. Afterwards, the sound is amplified to the previous level.

The magic formula of compression is a Taylor polynomial of the 3rd order:

y = (12/11)*(x - (1/12)*x^3)

x = sound

y = compressed sound

From mathematical point of view, it is, of course, neither elegant nor professional solution

to the problem. However, ordinary users and the so-called "computer scientists" in general are

not able to consume any esoteric mathematical terminology. The cubic curve is already too much

for them. Nevertheless, I am going to make nonlinear maximizer how it should be made according

to the standards of mathematics. The reason is simple. The perfect maximizer can faster perform

strong compression of speech recordings.

The Nonlinear Maximizer Deluxe is my Nonlinear Compressor tuned with wxMaxima.

The Nonlinear Compressor contains a wide variety of nonlinear compressors, limiters

and expanders, including Nonlinear Maximizer and Nonlinear Maximizer Deluxe.

You can download them here:

http://n2.nabble.com/Nonlinear-Compressor-Limiter-Expander---Nyquist-plugin-for-Audacity-td1569449.html

http://n2.nabble.com/Nonlinear-Maximizer---Nyquist-plugin-for-Audacity-(abridged)-tt1583649.html

Maxima homepage:

http://maxima.sourceforge.net

http://maxima.sourceforge.net/documentation.html

Maxima is a free computer algebra system based on a 1982 version of Macsyma.

It is written in Common Lisp and released under the GNU General Public License

and runs on all POSIX platforms such as Unix, BSD, and Linux as well as under Microsoft Windows.

http://en.wikipedia.org/wiki/Maxima_(software)

http://en.wikipedia.org/wiki/Image:WxMaxima_0.7.1_screenshot.png

wxMaxima homepage:

http://wxmaxima.sourceforge.net/

http://wxmaxima.sourceforge.net/wiki/index.php/Main_Page

http://wxmaxima.sourceforge.net/wiki/index.php/Howto

wxMaxima is a cross platform GUI for the computer algebra system Maxima based on wxWidgets.

wxMaxima features include:

2D formatted math display: wxMaxima implements its own math display engine to nicely display Maxima output.

Menu system: most Maxima commands are available through menus. Most used functions are also available through a button panel below the input line.

Dialogs: commands which require more that one argument can be entered through dialogs so that there is no need to remember the exact syntax.

Command line history: the input line has command history and command completion based on previous input.

Create documents: text can be mixed with math calculations to create documents. See the howto for tips on how to use these features. Documents can be saved and edited again later.

Animations: version 0.7.4 adds support for simple animations.

wxMaxima is released under the GPL2 licence.

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