Disclosed herein is a signal processing apparatus and method for removing a reflected wave generated by a robot platform. The signal processing apparatus includes a transfer function measuring unit for measuring an inter-channel transfer function (IcTF) from signals of a plurality of channels; an impulse response obtaining unit for obtaining an inter-channel impulse response (IcIR) from the IcTF measured by the transfer function measuring unit; and reflected wave removing unit for removing the reflected wave by differentiating a direct wave directly generated by a sound source and the reflected wave with a time delay from the IcIR obtained by the impulse response obtaining unit. The signal processing method of removing a reflected wave includes measuring an IcTF from signals of a plurality of channels; obtaining an IcIR from the measured IcTF; and removing the reflected wave by differentiating a direct wave directly generated by a sound source and a the reflected wave with a time delay from the obtained IcIR.