Appeal No. 2006-1729
Application No. 10/107,628
linear algebra that if the multiplication of a higher dimension
input matrix with an unknown function (e.g. PSC function) yields
an output matrix of a lower dimension, then the PSC function must
be characterized as matrix of a lower dimension. Further, the
ordinarily skilled artisan would have realized from the specific
example provided in figure 4 of Ivanov that in order to yield the
output matrix Cpxq from the multiplication of input matrix Dmxnq
and PSCxy, the rows of matrix PSCxy must be unique and non-zero,
as required by the claim. Consequently, we do not find error in
the Examiner’s stated position, which concludes that Ivanov
teaches a compactor characterized by a matrix having a row for
each of the plurality of circuit elements and a column for each
of the plurality of outputs. With regards, to claim 22, we find
that Ivanov teaches that the PSC is implemented with a tree of X-
OR gates, wherein at least an X-OR gate couples each of the
plurality of inputs with one of the plurality of outputs, and
that each of the inputs are coupled to the outputs differently,
as depicted in figure 7. One of ordinary skill in the art would
have readily observed that Ivanov’s teaching amounts to the claim
limitation of using at least an X-OR gate to couple each of the
plurality of inputs with at least an output in a different
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