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Authors: | Settimi, A. | Title: | Fourier Domain Analysis performances of a RESPER probe | Other Titles: | Amplitude and Phase inaccuracies due to the Round-Off noise of FFT processors | Issue Date: | 28-Sep-2010 | URL: | http://lanl.arxiv.org/abs/1009.1832 | Series/Report no.: | Rapporti Tecnici INGV 159 |
Keywords: | Fast Fourier Transform Round-Off Noise |
Subject Classification: | 05. General::05.01. Computational geophysics::05.01.01. Data processing | Abstract: | This report proposes to discuss the Fourier domain analysis performances of a RESPER probe. A uniform ADC, which is characterized by a sensible phase inaccuracy depending on frequency, is connected to a Fast Fourier Transform (FFT) processor, that is especially affected by a round-off amplitude noise linked to both the FFT register length and samples number. If the register length is equal to 32 bits, then the round-off noise is entirely negligible, else, once bits are reduced to 16, a technique of compensation must occur. In fact, oversampling can be employed within a short time window, reaching a compromise between the needs of limiting the phase inaccuracy due to ADC and not raising too much the number of averaged FFT values sufficient to bound the round-off. Finally, the appendix presents an outline of somewhat lengthy demonstrations needed to calculate the amplitude and especially phase inaccuracies due to the round-off noise of FFT processors. |
Appears in Collections: | Reports |
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File | Description | Size | Format | |
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Rapporti Tecnici INGV 159.pdf | Main Article | 1.9 MB | Adobe PDF | View/Open |
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