A receiver configured to receive a plurality of signals k (k=1, 2, . . . , M) allocated in a first frequency band. The receiver includes a frequency conversion section for reallocating the signals k in a second frequency band for sampling by a single AD converter at a sampling frequency fs such that digital data of the sampled signals k are obtained in a third frequency band extending from zero Hz to a frequency represented by fs/2; and a signal extraction section for extracting a target base band signal k from the digital data obtained by the AD conversion section. The frequency conversion section performs the reallocation in such a manner that at least a frequency represented by Jfs/2 (J is an integer) is located between the frequencies of at least two of the signals k and that the sampled signals do not overlap.