Editing Harmonic Vector Excitation Coding (section)

==Technology==

===Linear Predictive Coding===
HVXC uses [[Linear predictive coding]] (LPC) with block-wise adaptation every 20ms.<ref name="hvxc" /> The LPC parameters are transformed into [[Line spectral pairs|Line spectral pair]] (LSP) coefficients, which are jointly quantized.<ref name="hvxc" /> The LPC residual signal is classified as either [[voiced]] or [[unvoiced]]. In the case of voiced speech, the residual is coded in a parametric representation (operating as a [[vocoder]]), while in the case of unvoiced speech, the residual waveform is quantized (thus operating as a hybrid speech codec).

===Voiced (Harmonic) Residual Coding===
In voiced segments, the residual signal is represented by two parameters: the pitch period and the spectral envelope.<ref name="hvxc" /> The pitch period is estimated from the peak values of the [[autocorrelation]] of the residual signal.<ref name="hvxc"/> In this process, the residual signal is compared against shifted copies of itself, and the shift which yields the greatest similarity by the measure of linear dependence is identified as the pitch period. The spectral envelope is represented by a set of amplitude values, one per [[harmonic]].<ref name="hvxc" /> To extract these values, the LPC residual signal is [[linear transform|transformed]] into the [[Discrete Fourier transform|DFT]]-domain.<ref name="hvxc"/> The DFT-spectrum is segmented into bands, one band per harmonic. The frequency band for the m-th harmonic consists of the DFT-coefficients from (m-1/2)ω<sub>0</sub> to (m+1/2)ω<sub>0</sub>, ω<sub>0</sub> being the pitch frequency.<ref name="hvxc"/> The amplitude value for the m-th harmonic is chosen to optimally represent these DFT-coefficients.<ref name="hvxc" /> Phase information is discarded in this process. The spectral envelope is then coded using variable-dimension weighted [[vector quantization]]. This process is also referred to as '''Harmonic VQ'''.

To make a speech with a mixture of voiced and unvoiced excitation sound more natural and smooth, three different modes of voiced speech (Mixed Voiced-1, Mixed Voiced-2, Full Voiced) are differentiated.<ref name="hvxc" /> The degree of voicing is determined by the value of the normalized autocorrelation function at a shift of one pitch period. Depending on the chosen mode, different amounts of band-pass [[Gaussian noise]] are added to the synthesized harmonic signal by the decoder.

===Voiceless (VXC) Residual Coding===
Unvoiced segments are encoded according to the [[CELP]] scheme, which is also referred to as '''vector excitation coding''' (VXC).<ref name="hvxc" /> The CELP coding in HVXQ is performed using only a stochastic codebook. In other CELP codecs, a dynamic codebook is used additionally to perform [[Long Term Prediction|long-term prediction]] of voiced segments. However, since HVXC does not use CELP for voiced segments, the dynamic codebook is omitted from the design.