About the logo

The information below is just a techinal curiosity and is by no means necessary in the practical use of n-Track.

The logo below is a screenshot of a waveform as displayed by n-Track Studio 5.0.

The particular waveform shown is a representation of the mathematical function

Sinc(x) = Sin(x)/x

and can be generated in n-Track by increasing the zoom level in the time axis past the point where small dots begin to appear overlapped on the waveform. The small dots represent the wave file individual samples. Find a silent part of the wave file (where all samples are at the center of the waveform or 0 level), then drag one of the samples to its highest level (near the top of the rectangle that delimitates the waveform). n-Track will interpolate the waveform so that it will look as the logo below.

You'll notice that at the points corresponding to the actual samples (the points where the dots are) the waveform passes to the actual value of the sample, while in between each couple of samples the waveform varies widely. This is the effect of the low-pass filtering that happens when the digital signal is converted to an analog signal before reaching the speakers.

The Sinc() function is one of the pillars of Digital Signal Processing and of signal processing in general. For the technical savvy, a Sinc(t) is the Fourier transform of a Rect(t), which can be taken to represent the frequency response of a low-pass filter. The higher the corner frequency of the low-pass filter (i.e. higher sampling frequency) the more Sinc(t) 'shrinks' to resemble an impulse.


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Last Modified Monday, 14-May-2007 10:12:06 CDT
©2008 Flavio Antonioli

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