The Amplitude Density of a Truncated Fourier Series

Lonnie C. Ludeman · IRE Transactions on Communications Systems · 1972

A theoretical method is presented for finding the amplitude density of a periodic waveform expressed in terms of a truncated trigonometric Fourier series. If the waveform is approximated bynharmonics, the density depends on the roots of a polynomial of degree 2nwhose coefficients are simple functions of the Fourier series coefficients.

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