A magnetic resonance measurement apparatus comprising: an analog-to-digital converter circuit, to which an analog reception signal including a target signal component having a first frequency can be input, arranged to sample the analog reception signal at a sampling frequency which is a second frequency, and configured to output a digital reception signal; and a signal processor circuit arranged to execute a signal processing on the digital reception signal, wherein when the first frequency satisfies an over-sampling condition, a sampling scheme of the analog-to-digital converter circuit is an over-sampling scheme, and the signal processor circuit executes the signal processing on the target signal component, and when the first frequency satisfies an under-sampling condition, the sampling scheme of the analog-to-digital converter circuit is an under-sampling scheme, and the signal processor circuit executes the signal processing on an aliased signal component generated from the target signal component wherein a frequency converter circuit is provided upstream of the analog-to-digital converter circuit, the frequency converter circuit being arranged to convert the RF reception signal into an intermediate frequency signal when a frequency determined according to an observation nucleus falls within a high frequency band, and is arranged to not convert the RF reception signal into the intermediate frequency signal and to output the RF reception signal when the frequency determined according to the observation nucleus falls within a low frequency band which is lower than the high frequency band, the RF reception signal or the intermediate frequency signal, respectively, being input to the analog-to-digital converter circuit as the analog reception signal, the first frequency satisfies the over-sampling condition when the first frequency is the frequency determined according to the observation nucleus and the RF reception signal is input to the analog-to-digital converter circuit, and the first frequency satisfies the under-sampling condition when the first frequency is an intermediate frequency and the intermediate frequency signal is input to the analog-to-digital converter circuit. an analog-to-digital converter circuit, to which an analog reception signal including a target signal component having a first frequency can be input, arranged to sample the analog reception signal at a sampling frequency which is a second frequency, and configured to output a digital reception signal; and a signal processor circuit arranged to execute a signal processing on the digital reception signal, wherein when the first frequency satisfies an over-sampling condition, a sampling scheme of the analog-to-digital converter circuit is an over-sampling scheme, and the signal processor circuit executes the signal processing on the target signal component, and when the first frequency satisfies an under-sampling condition, the sampling scheme of the analog-to-digital converter circuit is an under-sampling scheme, and the signal processor circuit executes the signal processing on an aliased signal component generated from the target signal component wherein a frequency converter circuit is provided upstream of the analog-to-digital converter circuit, the frequency converter circuit being arranged to convert the RF reception signal into an intermediate frequency signal when a frequency determined according to an observation nucleus falls within a high frequency band, and is arranged to not convert the RF reception signal into the intermediate frequency signal and to output the RF reception signal when the frequency determined according to the observation nucleus falls within a low frequency band which is lower than the high frequency band, the RF reception signal or the intermediate frequency signal, respectively, being input to the analog-to-digital converter circuit as the analog reception signal, the first frequency satisfies the over-sampling condition when the first frequency is the frequency determined according to the observation nucleus and the RF reception signal is input to the analog-to-digital converter circuit, and the first frequency satisfies the under-sampling condition when the first frequency is an intermediate frequency and the intermediate frequency signal is input to the analog-to-digital converter circuit.