A signal detection apparatus includes a signal reception unit, an Analog to Digital (A/D) signal processing unit, and a user interface unit. The signal reception unit receives an external signal. The A/D signal processing unit determines whether the received signal is an abnormal signal based on a plurality of signal profiles having different signal characteristics, and obtains the abnormal signal if, as a result of the determination, it is determined that the received signal is the abnormal signal. The user interface unit displays the abnormal signal.