Influence of a Cyclic Prefix on the Spectral Power Density of Cyclo-Stationary Random Sequences

The influence of a cyclic prefix on the spectral power density of discrete-time, zero-mean, cyclo-stationary, random sequences is investigated. Analytical expressions for the time-varying autocorrelation function, the average autocorrelation function, and the spectral power density of the cyclic-prefixed sequence are provided. Application to discrete Fourier transform based orthogonal frequency division multiplexing is presented, and shown that the cyclic prefix introduces a strong ripple in the spectral power density within the main frequency band. Besides the loss of spectral efficiency caused by the cyclic prefix, this ripple may require reduction of transmit power in order to obey regulatory spectrum masks.

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