Peak Power Properties of Band-Limited Signals: With Pulse Shaping or Windowing
Hideki Ochiai · IEEE Transactions on Vehicular Technology · 2024
The signal with high spectral efficiency tends to suffer from high peak-to-average power ratio (PAPR), which significantly reduces the achievable power amplifier efficiency. Therefore, it is important to investigate the statistical properties ofband-limitedsignals in terms of their dynamic range. On the other hand, the out-of-band (OOB) emission of signals can be controlled by pulse shaping or windowing, where the latter is generally applicable to block transmission systems such as orthogonal frequency-division multiplexing (OFDM). In this work, by developing closed-form expressions of high-order moments for the signals band-limited by the conventional raised-cosine (RC) as well as square-root raised-cosine (RRC) filtering, we discuss the trade-off relationship between the spectral efficiency and signal dynamic range. In addition, an expression for the complementary cumulative distribution function (CCDF) of the instantaneous power in the case offilteredGaussian signals is developed. Based on these theoretical analyses, we elucidate the fact that as the transmit symbols approach Gaussian for increasing spectral efficiency, the resultingfilteredsignals tend to exhibit even higher dynamic range compared to the conventional block transmission systems such as OFDM and DFT-precoded OFDM.