Error in Energy Spectrum Estimation Due to Quantization.
Final rept. Part 1, 14 Jan 74-13 Jan 75,
NEW MEXICO STATE UNIV UNIVERSITY PARK ENGINEERING EXPERIMENT STATION
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The report investigates the error in the Discrete Fourier Transform DFT caused by the quantization of the input values by an analog to digital converter and ignoring the round-off errors caused by the DFT algorithm. The expected value of the error was shown to be the product of the number of samples taken and quantization variance while the variance of the error was shown to be not only a function of the number of samples and quantization variances, but also a function of the fourth moment of the quantization error and the true value of the output. Author
- Electrical and Electronic Equipment
- Statistics and Probability
- Non-Radio Communications