There is provided an equalizer that includes: a first extracting circuit extracting a plurality of pilot symbols from an inputted signal; an inverse Fourier transform circuit inversely Fourier transforming the extracted plurality of pilot symbols, and computing a complex gain per path; a second extracting circuit extracting a plurality of paths by using the complex gains; a Fourier transform circuit Fourier transforming the extracted paths; and an equalization computing circuit extracting phase components of the Fourier-transformed paths, and carrying out multiplication by using the inputted signal and the extracted phase components.