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The Q-function that describes the error probability of most digital data transmission systems is related to the complementary error function (erfc) that is commonly used
The Q-function that describes the error probability of most digital data transmission systems is related to the complementary error function (erfc) that is commonly used in other fields (e.g., diffusion of electrons). The relationship is given by Q (x) = 0.5 erfc(xN2). Most mathematical software tools (eg, Matlab or R) provide you capability of evaluating the complementary error function. The following table gives the expressions for the probability of error of various modulation schemes in an AWGN channel in terms of the complementary error function. Plot the error rate curves as a function of the energy per bit to noise ratio (Eb O = Yb), Yb should be expressed in absolute values in these expressions. However plot the error curves as a function of yb in dB. Use R or Matlab
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