A matched filter and receiver is provided to delete the tap coefficients of a matched filter used in an OFDM receiver. In the matched filter and receiver, a transmitting signal is generated by using a symmetric series (Y) obtained from C[k]=exp[j*π*M/N*(k+0.5)^2], where X=[0, C[N/2], C[N/2+1], . . . , C[N−1], 0, 0, . . . , 0, C[0], C[1], . . . , C[N/2−1]], and Y=inverse FFT (X) as a base symbol. The matched filter, which detects the signal, reduces the number of multipliers by using the coefficient symmetric property.