On the statistical distribution of the crest-factor of codes in OFDM transmission

This paper presents a new approach to the calculation of the crest-factor (CF) distribution in coded OFDM systems. The approach reveals an interesting connetion between the weight distribution and the CF distribution of linear, binary codes that can be exploited to give an upper bound. The weight distribution of codes has attracted a great deal of attention in the past and many expressions and bounds are known. Thus we can expect to obtain a large number of bounds on the CF distribution. The upper bounds can serve as approximate curves for the CF distribution in the low probability region.