Discrete spectrum: Difference between revisions
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<div class="definition"><div class="short_definition">A [[spectrum]] in which the component [[wavelengths]] (and [[wavenumbers]] and [[frequencies]]) constitute a discrete sequence of values (finite or infinite in number) rather than a continuum of values.</div><br/> <div class="paragraph">A [[Fourier analysis]] of a function will yield a discrete spectrum only if the function is periodic, or is assumed to be so, or if the function is represented by a finite [[sample]] of its values. [[Fourier series]] may be used for the analysis. <br/>''See'' [[continuous spectrum]].</div><br/> </div> | <div class="definition"><div class="short_definition">A [[spectrum]] in which the component [[wavelengths]] (and [[wavenumbers]] and [[frequencies]]) constitute a discrete sequence of values (finite or infinite in number) rather than a continuum of values.</div><br/> <div class="paragraph">A [[Fourier analysis]] of a function will yield a discrete spectrum only if the function is periodic, or is assumed to be so, or if the function is represented by a finite [[sample]] of its values. [[Fourier series|Fourier series]] may be used for the analysis. <br/>''See'' [[continuous spectrum]].</div><br/> </div> | ||
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Latest revision as of 16:48, 25 April 2012
discrete spectrum[edit | edit source]
A spectrum in which the component wavelengths (and wavenumbers and frequencies) constitute a discrete sequence of values (finite or infinite in number) rather than a continuum of values.
A Fourier analysis of a function will yield a discrete spectrum only if the function is periodic, or is assumed to be so, or if the function is represented by a finite sample of its values. Fourier series may be used for the analysis.
See continuous spectrum.
See continuous spectrum.