Complementary Sets, Generalized Reed-Muller Codes, and Power Control for OFDM

The use of error-correcting codes for tight control of the peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency-division multiplexing (OFDM) transmission is considered in this correspondence. By generalizing a result by Paterson, it is shown that each q-phase (q is even) sequence of length 2m lies in a complementary set of size 2k+1 , where k is a nonnegative integer that can be easily determined from the generalized Boolean function associated with the sequence. For small k this result provides a reasonably tight bound for the PMEPR of q-phase sequences of length 2m . A new 2h -ary generalization of the classical Reed

• Type: Journal
• Year: 2006
• Where: CORR
• Authors: Kai-Uwe Schmidt
• Keywords: Complementary Sets, CORR 2006, Education, Envelope Power Ratio, Generalized Boolean Function