most recent 30 from http://mathoverflow.net 2013-05-23T16:02:04Z http://mathoverflow.net/feeds/question/81853 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/81853/fourier-series-transform-of-an-amplitude-limited-sinusoid Joe 2011-11-25T06:20:23Z 2011-11-25T06:36:46Z

<p>I am trying to estimate the amplitude of an original unlimited sine wave from a measurement of the power spectral density (PSD) of an amplitude-limited version. I expect that I may be able to do so by measuring the amplitude of the fundamental and a few of the harmonics.</p> <p>As a side question, what is the relationship between the coefficients of the Fourier series and the amplitude of the harmonics of the PSD? </p>