Practical stimulus design for a multi-tone fit
Neitola, Marko (2019-10-30)
M. Neitola, "Practical Stimulus Design for a Multi-Tone Fit," 2019 IEEE Nordic Circuits and Systems Conference (NORCAS): NORCHIP and International Symposium of System-on-Chip (SoC), Helsinki, Finland, 2019, pp. 1-7. doi: 10.1109/NORCHIP.2019.8906952
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https://urn.fi/URN:NBN:fi-fe2019121748437
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Abstract
A multi-tone measurement can be used to characterize the noise and distortion of a device or a system. Such assessment can be accomplished by a least-squares sinusoidal fit, which is widely analyzed in the prior art. The IEEE standard sinusoidal least-squares fit (sinefit) can be quite easily expanded to multiple tones, real or complex. From a designer point-of-view, the challenge is to generate a proper stimulus. The design questions in such case are the following: ”How do I design the tone spacing?”, ”What is the minimum record length of the stimulus with n tones?”, ”Can I use the 3-parameter fit (known frequencies)?”, ”How many iterations do I need in the 4-parameter fit (unknown frequencies)?” and ”How accurate the initial guess of the frequencies have to be for the 4-parameter fit?”. This study strives to answer the aforementioned questions with reflections to the analytical results from prior art.
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