According to one embodiment, a signal receiving apparatus includes a first setting module, a calculator, a detection module, a generator, and a determination module. The first setting module is configured to set a rising or falling of an arbitrary high pulse as a starting point. The calculator is configured to calculate a sampling period based on intervals between a plurality of high pulses. The detector is configured to set a multiple of the sampling period from the starting point as reference points and to detect positions where the plurality of high pulses are generated from each of the reference points. The generator is configured to generate a histogram for the positions where the plurality of high pulses are generated. The determination module is configured to determine positions obtained by adding a value of a peak in the histogram to each of the reference points as sampling points.