the input signal spectral coefficients are divided into a plurality of sub bands in each sub band the energy of the input signal spectral coefficient corresponding to a zero decoded error signal spectral coefficient is calculated and the energy of the decoded signal spectral coefficient corresponding to the zero decoding error signal spectral coefficient is calculated and their energy ratio is calculated and is quantized and transmitted application_number US 201113822810 A description embodiments of the present invention are described in detail below with reference to the drawings with respect to the various embodiments like elements are designated with like numerals while omitting redundant descriptions thereof fig6 is a diagram showing a configuration of an audio coding apparatus according to the present embodiment fig9 is a diagram showing a configuration of an audio decoding apparatus according to the present embodiment fig6 and fig9 depict cases where the present invention is applied to hierarchical coding hierarchical coding embedded coding of celp and transform coding with respect to the audio coding apparatus shown in fig6 celp coding section 601 performs coding making use of signal predictability in the time domain celp local decoding section 602 reconfigures a synthesized signal using a celp coded parameter multiplexing section 609 multiplexes the celp coded parameter and sends it to an audio decoding apparatus subtractor 610 derives error signal s e n the difference signal between the input signal and the synthesized signal by subtracting the synthesized signal from the input signal t f transform sections 603 and 604 convert.