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The 3G standard, based on wideband code division multiple access (WCDMA) is now being extended into high-speed downlink access (HSDPA) and high-speed uplink packet access (HSUPA) and further evolved to high-speed packet access (HSPA). The ongoing study of next generation communication proposed by 3GPP is called long term evolution (LTE). The aim of LTE is to provide a peak downlink rate of 100 Mbits/s and a 50 Mbps/s uplink rate. Using OFDMA that features scalable bandwidth, high spectral efficiency and a very flexible multi-user bandwidth, LTE can not only provide customers with higher data rates in both uplink and downlink, but also enriches the services for the terminals. However, this will inevitably increase the power consumption for both the eNodeB and the terminals. With limited battery capacity, the power saving and allocation is a very important problem to solve. However, the power saving problem is usually combined with wireless resource management issues. A dynamic subcarrier and power allocation combined with power saving method is proposed in this paper for LTE OFDMA networks.