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<h1><font color=#000070>
Ogg Vorbis I format specification: floor type 0 setup and decode
</font></h1>
<em>Last update to this document: July 19, 2002</em><br>
<h1>Overview</h1>
Vorbis floor type zero uses Line Spectral Pair [LSP, also alternately
known as Line Spectral Frequency or LSF] representation to encode a
smooth spectral envelope curve as the frequency response of the LSP
filter. This representation is equivalent to a traditional all-pole
infinite impulse response filter as would be used in linear predictive
coding; LSP representation may be converted to LPC representation and
vice-versa.<p>
<h1>Floor 0 format</h1>
Floor zero configuration consists of six integer fields and a list of
VQ codebooks for use in coding/decoding the LSP filter coefficient
values used by each frame. <p>
<h2>header decode</h2>
Configuration information for instances of floor zero decodes from the
codec setup header (third packet). configuration decode proceeds as
follows:<p>
<pre>
1) [floor0_order] = read an unsigned integer of 8 bits
2) [floor0_rate] = read an unsigned integer of 16 bits
3) [floor0_bark_map_size] = read an unsigned integer of 16 bits
4) [floor0_amplitude_bits] = read an unsigned integer of six bits
5) [floor0_amplitude_offset] = read an unsigned integer of eight bits
6) [floor0_number_of_books] = read an unsigned integer of four bits and add 1
7) if any of [floor0_order], [floor0_rate], [floor0_bark_map_size], [floor0_amplitude_bits],
[floor0_amplitude_offset] or [floor0_number_of_books] are less than zero, the stream is not decodable
8) array [floor0_book_list] = read a list of [floor0_number_of_books] unsigned integers of eight bits each;
</pre>
An end-of-packet condition during any of these bitstream reads renders
this stream undecodable. In addition, any element of the array
<tt>[floor0_book_list]</tt> that is greater than the maximum codebook
number for this bitstream is an error condition that also renders the
stream undecodable.
<a name=decode>
<h2>packet decode</h2></a>
Extracting a floor0 curve from an audio packet consists of first
decoding the curve amplitude and <tt>[floor0_order]</tt> LSP
coefficient values from the bitstream, and then computing the floor
curve, which is defined as the frequency response of the decoded LSP
filter.<p>
Packet decode proceeds as follows:<p>
<pre>
1) [amplitude] = read an unsigned integer of [floor0_amplitude_bits] bits
2) if ( [amplitude] is greater than zero ) {
3) [coefficients] is an empty, zero length vector
4) [booknumber] = read an unsigned integer of <a href="helper.html#ilog">ilog</a>( [floor0_number_of_books] ) bits
5) if ( [booknumber] is greater than the highest number decode codebook ) then packet is undecodable
6) [lastval] = zero;
7) vector [temp_vector] = read vector from bitstream using codebook number [booknumber] in VQ context.
8) add the scalar value [last] to each scalar in vector [temp_vector]
9) [last] = the value of the last scalar in vector [temp_vector]
10) concatenate [temp_vector] onto the end of the [coefficients] vector
11) if (length of vector [coefficients] is less than [floor0_order], continue at step 6
}
12) done.
</pre>
Take note of the following properties of decode:
<ul>
<li>An <tt>[amplitude]</tt> value of zero must result in a return code that indicates this channel is unused in this frame (the output of the channel will be all-zeroes in synthesis). Several later stages of decode don't occur for an unused channel.<p>
<li>An end-of-packet condition during decode should be considered a
nominal occruence; if end-of-packet is reached during any read
operation above, floor decode is to return 'unused' status as if the
<tt>[amplitude]</tt> value had read zero at the beginning of decode.
<li>The book number used for decode
can, in fact, be stored in the bitstream in <a
href="helper.html#ilog">ilog</a>( <tt>[floor0_number_of_books]</tt> -
1 ) bits. Nevertheless, the above specification is correct and values
greater than the maximum possible book value are reserved. <p>
<li>The number of scalars read into the vector <tt>[coefficients]</tt>
may be greater than <tt>[floor0_order]</tt>, the number actually
required for curve computation. For example, if the VQ codebook used
for the floor currently being decoded has a
<tt>[codebook_dimensions]</tt> value of three and
<tt>[floor0_order]</tt> is ten, the only way to fill all the needed
scalars in <tt>[coefficients]</tt> is to to read a total of twelve
scalars as four vectors of three scalars each. This is not an error
condition, and care must be taken not to allow a buffer overflow in
decode. The extra values are not used and may be ignored or discarded.
</ul>
<a name=synth>
<h2>curve computation</h2></a>
Given an <tt>[amplitude]</tt> integer and <tt>[coefficients]</tt>
vector from packet decode as well as the [floor0_order],
[floor0_rate], [floor0_bark_map_size], [floor0_amplitude_bits] and
[floor0_amplitude_offset] values from floor setup, and an output
vector size <tt>[n]</tt> specified by the decode process, we compute a
floor output vector.<p>
If the value <tt>[amplitude]</tt> is zero, the return value is a
length <tt>[n]</tt> vector with all-zero scalars. Otherwise, begin by
assuming the following definitions for the given vector to be
synthesized:<p>
<img src="lspmap.png"><p>
The above is used to synthesize the LSP curve on a Bark-scale frequency
axis, then map the result to a linear-scale frequency axis.
Similarly, the below calculation synthesizes the output LSP curve [output] on a log
(dB) amplitude scale, mapping it to linear amplitude in the last step:<p>
<pre>
1) [i] = 0
2) if ( [floor0_order] is odd ) {
3) calculate [p] and [q] according to: <br>
<img src="oddlsp.png">
} else [floor0_order] is even {
4) calculate [p] and [q] according to: <br>
<img src="evenlsp.png">
}
5) calculate [linear_floor_value] according to:<br>
<img src="floorval.png">
6) [iteration_condition] = map element [i]
7) [output] element [i] = [linear_floor_value]
8) increment [i]
9) if ( map element [i] is equal to [iteration_condition] ) continue at step 7
10) if ( [i] is less than [n] ) continue at step 2
11) done
</pre>
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