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Data Interpolation and Its Effects on Digital Sound Quality - McMurry ...

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23secti<strong>on</strong>, no sound wave is exactly perfect save a single c<strong>on</strong>stant steady musicalnote, thus these results aren’t accurate to model most sounds.In testing the imperfect sound file, I found the interpolati<strong>on</strong> to behaveerratically. As menti<strong>on</strong>ed in the previous chapter, the higher the degree thepolynomial, generally the higher the absolute maxima <str<strong>on</strong>g>and</str<strong>on</strong>g> minima become. Thisis dem<strong>on</strong>strated by the following image, where the darkler line is the actualsound wave, <str<strong>on</strong>g>and</str<strong>on</strong>g> the lighter line is the interpolating polynomial:3.3 Cubic Spline ResultsFor results of the perfect sound wave, refer to the above secti<strong>on</strong> 3.2, asthe results were identical to that of performing polynomial interpolati<strong>on</strong> <strong>on</strong> thewave.For the imperfect sound wave using the first method, overall the resultswere fairly good, though there are still some areas where the error is quite large.

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