A non-coherent detection apparatus includes, inter alia, a correlation unit, a frequency offset estimator, and a signal detector. The correlation unit obtains a differential phase signal by multiplying a complex conjugate value of a delay signal obtained by delaying a received signal by (N+1) chips by the received signal, sums-up resultant values obtained by multiplying each component of the differential phase signal by each component of a correlation sequence and outputs a correlation signal. The frequency offset estimator estimates a frequency offset based on a value obtained by accumulatively summing-up the correlation signals corresponding to preamble portions of the received signal. The signal detector detects an original signal from the received signal based on a size of a real-number part of a resultant value obtained by multiplying the frequency offset estimated by the frequency offset estimator by the correlation signal corresponding to a PHY payload portion of the received signal.