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In order to minimize power consumption without sacrificing much latency performance, wake-up radios are employed to assist the main radio for low power channel monitoring. This paper presents the design and implementation of an ultra-low power digital baseband (DBB) circuit for a wake-up radio. In a 90nm CMOS process, the circuit running at a 800kHz clock consumes 3.72μW with a standard 1.2V supply voltage, and achieves very good packet detection performance. The circuit is fully functional at 0.6V supply consuming 0.9μW.