Method and apparatus for encoding video signal and method and apparatus for decoding video signal
Provided are a method and apparatus for encoding a video signal and a method and apparatus for decoding a video signal. The method of encoding the video signal includes: determining an optimum scaling bit depth of the video signal in consideration of a maximum bit number of an intermediate value obtained during transformation of the video signal and a maximum bit precision of the video signal; scaling the video signal according to a local shift value corresponding to a difference between the determined optimum scaling bit depth and an original bit depth of the video signal; and transforming the scaled video signal.
1. An apparatus of decoding a video, the apparatus comprising:
a processor configured to determine bit depth of samples in a video sequence, obtain quantized transform coefficients of a transform block in the video sequence from a bitstream, generate scaled transform coefficients of the transform block by performing inverse-quantization and scaling on the quantized transform coefficients, generate intermediate sample values of the transform block by performing vertical inverse-transformation on the scaled transform coefficients, generate residual values of the transform block by performing horizontal inverse-transformation on the intermediate sample values of the transform block, generate a prediction block by performing intra prediction or inter prediction, and restore sample values using the residual values of the transform block and the prediction block,
wherein when the processor performs the scaling on the quantized transform coefficients, the processor determines an offset value based on a scaling variable, adds the inverse-quantized transform coefficients to the offset value and bit shifts on the added transform coefficients by the scaling variable,
wherein the scaling variable is generated by using a size of the transform block and the bit depth of samples, and
wherein the vertical inverse-transformation is performed by multiplying a transform matrix by the scaled transform coefficients.
2. The apparatus of claim 1 , wherein each of the vertical inverse-transformation and the horizontal inverse-transformation includes linear transformation that is a discrete cosine transform (DCT) operation or a discrete wavelet transform (DWT) operation.