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179 floor and residue vectors within a mapping.  The submap functions as a
180 last layer of indirection such that specific special floor or residue
183 the proper floor and residue instance number to use for decoding that
184 submap's spectral floor and spectral residue vectors.
192 apply a full range floor and residue encoding to channels 0 through 4,
230 \subsubsection{Residue}
231 The spectral residue is the fine structure of the audio spectrum
236 configured by residue instance. As with the floor components, the
238 and each residue instance may choose from any and all available
298 \item decode residue into residue vectors
299 \item inverse channel coupling of residue vectors
301 \item compute dot product of floor and residue, producing audio spectrum vector
392 use. All floors are decoded before residue decode begins.
395 \paragraph{residue decode}
397 Although the number of residue vectors equals the number of channels,
398 channel coupling may mean that the raw residue vectors extracted
404 Vorbis codes residue vectors in groups by submap; the coding is done
419 Vorbis coupling applies to pairs of residue vectors at a time;
427 the resulting residue vectors represent the fine spectral detail
437 inverse coupling and applied to the spectral residue directly,
443 linear-domain spectral residue.
447 \paragraph{compute floor/residue dot product}
450 multiplies the floor curve and residue vectors element by element,
457 fixed-point representation for floor and residue and direct
465 residue vector to represent full scale if the floor is nailed to
466 $-140$dB, it must be able to span 0 to $+140$dB. For the residue vector
469 dynamics, a residue vector may span $-140$dB to $+140$dB entirely within
471 residue vector must be able to represent a 48 bit range and the dot