From hardware point of view, system and RTL low power and power aware design techniques are applied to the DVB-T/H baseband inner receiver. In RTL design, we use pre-computation, differential encoding, hardware sharing, time-multiplexing RAV of memory, low power arithmetic architecture so that each block can reduce power from 3% to 26%. In system level, the proposed DPM (Dynamic Power Manager) is a power control unit for our system. When the system enters the offset tracking mode, the DPM controls the power states of system blocks between the GI (Guard Interval) period and symbol period. The power reduction ratio ranges from 3%-20% (it depends on the GI mode). Moreover, a predicted phase scheme is proposed to provide the initial phase offset for the start of symbol period during offset tracking mode. The overall reduction for synchronization loop is about 50% in both hardware area and power.