1. A Bluetooth signal receiving device comprising: a frequency shift demodulator circuit configured to: generate a baseband signal by performing frequency shift demodulation on a received signal; and generate a frequency proportion signal having a value proportional to a frequency of the baseband signal; a digital sampler circuit configured to generate a plurality of series of bit streams, sampled in a digital domain at a preset time interval, from the frequency proportion signal, wherein at least one of the received signal, the baseband signal, and the frequency proportion signal is converted from an analog domain to the digital domain; a training bit pattern discriminator circuit configured to determine whether the plurality of series of bit streams generated by the digital sampler circuit satisfies a training bit pattern condition; and a frequency offset compensation circuit configured to compensate the frequency proportion signal by using a measured error metric as an effective error metric when the plurality of series of bit streams satisfies the training bit pattern condition.