(S) under bare (l) under bar ected (m) under bar apping (SLM) peak-power re
duction [1] is distortionless as it selects the actual transmit signal from
a set of alternative signals, which all represent the same information. Th
e specific signal generation information needs to be transmitted and carefu
lly protected against bit errors, Here, we propose an extension of SLM, whi
ch employs scrambling and refrains from the use of explicit side informatio
n in the receiver Some additional complexity and nearly vanishing redundanc
y is introduced to achieve markedly improved transmit signal statistics. Ev
en though SLM is applicable with any modulation, we concentrate on orthogon
al frequency-division multiplexing (OFDM) in this letter.