Image encoding and decoding method and apparatus based on periodicity of phase signal

A method for encoding an image, the method comprising:

• generating a prediction signal for an input signal;
• calculating an initial residual signal, which is a difference value between the input signal and the prediction signal;
• generating a transformed residual signal by transforming a value of the initial residual signal to have a size value within a preset range;
• and
• encoding the transformed residual signal,
• wherein the transformed residual signal is generated based on a period of a signal,
• wherein the preset range is a range of the period of the signal.

A recording medium storing a bitstream generated by an image encoding method, wherein the image encoding method comprises:

• generating a prediction signal for an input signal;
• calculating an initial residual signal, which is a difference value between the input signal and the prediction signal;
• generating a transformed residual signal by transforming a value of the initial residual signal to have a size value within a preset range;
• and
• encoding the transformed residual signal,
• wherein the transformed residual signal is generated based on a period of a signal,
• wherein the preset range is a range of the period of the signal.