Circular 16-QAM modulation scheme for wavelet and Fourier based OFDM systems

In this paper, we have derived the circular 16-QAM constellation and apply it in Fourier and wavelet based OFDM systems. In order to derive the circular scheme, we first begin with the derivation of the square scheme as the scale of measurement for the purpose of comparisons. It is found out that the power consumption of the circular constellations is lower than the square signals by -2.71dB for a similar minimum distance of 2. To further claim our result, we extend the work using Fourier and wavelet based OFDM systems. The results showed that the circular constellation signals have performed slightly better than the square in terms of BER performance for different subcarriers in Fourier based OFDM system. When applying to the wavelet based OFDM, the circular scheme has also performed slightly less errors using different wavelet families.