# hw6 - ECE425 Fall 2006 Homework Set 6 Your solutions to...

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ECE425 Fall 2006 Homework Set 6 Your solutions to these problems are due in the ECE425 hand-in box at 5:00 PM on Wed, Oct. 11, 2006. The hand-in box is located outside the south entrance to Phillips Hall 219 (usual place) and we use the upper right hand box. No late homework will be accepted without an official university excuse. Please work on these problems well in advance of the due date as we fully expect you may have questions and/or need suggestions. Problem 16: DISTORTION IN A QUANTIZED SINEWAVE In a previous problem (Problem 4) we calculated the Total Harmonic Distortion in a stepped approximation ("time quantization") to a sinewave. Here we want to calculate the THD that results from AMPLITUDE quantization of the values of the samples. In order to set aside the issues of Problem 4, we will choose a very high sampling rate and add up the distortion over only one FFT cycle. For example: x = cos(2*pi*[0:511]/512) will constitute our test cycle, 512 samples, a sampling rate that is 512 times that of the sinewave itself. Further we will use rounding as our quantization effort.

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