Patent ID: 6922438

Claim:
A system for testing a hypothesis that a symbol r resulted from transmitting an MPSK symbol s over a communications channel, the symbol r being a quadrature symbol having an in-phase component r I and a quadrature component r Q , comprising: first logic for multiplying a first multiplicand which is either r I or r Q by a first multiplier derived from either ±{fraction (15/16)} or ±⅜ resulting in a first product; second logic for multiplying a second multiplicand which is either r I or r Q by a second multiplier derived from either ±⅜ or ±{fraction (15/16)} resulting in a second product; and third logic for deriving a metric for testing the hypothesis from the first and second products, wherein the second multiplicand is r Q if the first multiplicand is r I , and the second multiplicand is r I if the first multiplicand is r Q , and wherein the second multiplier is derived from ±{fraction (15/16)} if the first multiplier is derived from ±⅜ and the second multiplier is derived from ±⅜ if the first multiplier is derived from ±{fraction (15/16)}.