A quantization apparatus for encoding of an audio signal, the quantization apparatus comprising: a first quantization module, implemented by at least one processor, configured to quantize line spectral frequency, LSF, coefficients of the audio signal without an inter-frame prediction; a second quantization module, implemented by the at least one processor, configured to quantize the LSF coefficients with the inter-frame prediction; and a selection unit for selecting one of the first quantization module and the second quantization module, wherein the first quantization module comprises: a first quantization part configured to quantize an input audio signal to generate a first quantization signal; and a third quantization part configured to quantize a first quantization error signal generated from the first quantization signal and the input audio signal, wherein the second quantization module comprises: an inter-frame predictor configured to generate a prediction signal to predict the input audio signal; a second quantization part configured to quantize a prediction error signal generated from the prediction signal and the input audio signal, to generate a second quantization signal; and a fourth quantization part configured to quantize a second quantization error signal generated from the prediction error signal and the second quantization signal, wherein the first quantization part and the second quantization part comprise a trellis coded vector quantizer, TCVQ, which allocates sub-vectors to each stage of the TCVQ, and wherein the third quantization part and the fourth quantization part share a codebook. a first quantization module, implemented by at least one processor, configured to quantize line spectral frequency, LSF, coefficients of the audio signal without an inter-frame prediction; a second quantization module, implemented by the at least one processor, configured to quantize the LSF coefficients with the inter-frame prediction; and a selection unit for selecting one of the first quantization module and the second quantization module, wherein the first quantization module comprises: a first quantization part configured to quantize an input audio signal to generate a first quantization signal; and a third quantization part configured to quantize a first quantization error signal generated from the first quantization signal and the input audio signal, wherein the second quantization module comprises: an inter-frame predictor configured to generate a prediction signal to predict the input audio signal; a second quantization part configured to quantize a prediction error signal generated from the prediction signal and the input audio signal, to generate a second quantization signal; and a fourth quantization part configured to quantize a second quantization error signal generated from the prediction error signal and the second quantization signal, wherein the first quantization part and the second quantization part comprise a trellis coded vector quantizer, TCVQ, which allocates sub-vectors to each stage of the TCVQ, and wherein the third quantization part and the fourth quantization part share a codebook. a first quantization part configured to quantize an input audio signal to generate a first quantization signal; and a third quantization part configured to quantize a first quantization error signal generated from the first quantization signal and the input audio signal, wherein the second quantization module comprises: an inter-frame predictor configured to generate a prediction signal to predict the input audio signal; a second quantization part configured to quantize a prediction error signal generated from the prediction signal and the input audio signal, to generate a second quantization signal; and a fourth quantization part configured to quantize a second quantization error signal generated from the prediction error signal and the second quantization signal, wherein the first quantization part and the second quantization part comprise a trellis coded vector quantizer, TCVQ, which allocates sub-vectors to each stage of the TCVQ, and wherein the third quantization part and the fourth quantization part share a codebook. an inter-frame predictor configured to generate a prediction signal to predict the input audio signal; a second quantization part configured to quantize a prediction error signal generated from the prediction signal and the input audio signal, to generate a second quantization signal; and a fourth quantization part configured to quantize a second quantization error signal generated from the prediction error signal and the second quantization signal, wherein the first quantization part and the second quantization part comprise a trellis coded vector quantizer, TCVQ, which allocates sub-vectors to each stage of the TCVQ, and wherein the third quantization part and the fourth quantization part share a codebook.