In this paper by varying the number of bits to the respective channels with the range of SNR. With the prediction of channel conditions on the time of next timeslot, all these work done on the spectrum of non contiguous spectrum allocation scheme by using adaptive sub channel grouping (ASG) modulation schemes for the sub carriers with maintaining BER to improve the throughput in the adaptive sub channel grouping technique. By analyzing the LTE standards of 3GPP candidate of 4G with two switching levels of modulations i.e. 8PSK and 128 QAM. By increasing the number of users starting from 64 QAM to QPSK. For the simulation Rayleigh fading channel and auto regressive model used. By improving the system throughput as compared to contiguous schemes of group formation. The result of this paper shows significant improvement of non contiguous spectrum allocation scheme is better than the contiguous spectrum allocation scheme.