A signal processing device includes an A-D converter and a controller. The A-D converter converts an analog signal to a digital signal in which portions where the amplitude exceeds a predetermined range are clipped. A counter of the controller calculates, for the digital signal, a number of clipped samples for each predetermined number of period samples. A frequency converter performs frequency conversion of the digital signal. An LPF removes high frequency components of the digital signal. A rate converter converts a sampling rate of the A-D converter. A digital amplifier amplifies and outputs the digital signal. An amplification factor adjuster multiplies a preset amplification factor of the digital amplifier by an amplification factor adjustment coefficient based on a ratio of the number of regular samples to the number of period samples, to adjust the amplification factor.