The equalizer presented includes a first feed-forward equalization module, a second feed-forward equalization module, and a phase error corrector. The first and the second feed-forward equalization modules respectively receives an input real-part component signal and an input imaginary-part component signal of a complex input signal and respectively equalizes the input real-part component signal and the input imaginary-part component signal to generate a first real-part component signal and a first imaginary-part component signal. The phase error corrector is coupled to the first and the second feed-forward equalization modules for adjusting a complex phase corresponding to the first real-part component signal and the first imaginary-part component signal to generate a second real-part component signal and a second imaginary-part component signal according to a phase error information.