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99 residue backend type 2, and the second is <em>square polar
113 more than a pair of channels; polar mapping is hierarchical such that
114 polar coupling may be extrapolated to an arbitrary number of channels
120 <h3>Square Polar Mapping</h3>
147 channels as a side effect of entropy encoding, but a polar
153 <p>The first advantage of a polar representation is that it effectively
168 <p>The majority of a stereo image is representable by polar magnitude
183 <p>Because polar
189 Polar representation is a way of further concentrating entropy into
197 polar representation. As our encoding process involves quantization,
198 mixing a polar representation and quantization makes it potentially
204 polar representation, relies only on addition/subtraction (during
208 permutations. We do this by basing our polar representation on the
240 <p><img src="squarepolar.png" alt="square polar"/></p>
244 permutations is 121. Represented in square polar notation, the
270 <p>We can remap and A/B vector using polar mapping into a magnitude/angle
291 polar mapping; in fact, the polar mapping does not appear to lend any
294 dispenses with polar mapping entirely and merely interleaves the
299 polar mapping does give additional practical benefits, as discussed in
300 the above section on polar mapping and summarized again here:</p>
303 <li>Polar mapping aids in controlling entropy 'leakage' between stages
305 <li>Polar mapping separates the stereo image
320 <p>Using polar mapping and/or channel interleaving, it's possible to
343 <p>'Phase stereo' is simply a more aggressive quantization of the polar