Encoding method and decoding method of audio signal, and recording medium thereof, encoding apparatus and decoding apparatus of audio signal

A method and apparatus for encoding a signal with the exception of the sinusoidal components in the input audio signal components efficiently, or decoding is provided. Encoding method and apparatus of an audio signal in accordance with the present invention using a LPC analysis for the remaining difference signal than a sine wave signal from the next input audio signal by performing a sinusoidal analysis extracts the sine-wave signal to a low frequency signal of below a predetermined threshold frequency It characterized in that it performs encoding. Sinusoidal, linear predictive coding (LPC)