Abstract

R <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">comp</inf> versus <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E_{b} / N_{0}</tex> is calculated for a coherent white Gaussian noise channel and biorthogonal signal sets with quantized and continuous correlator outputs. The results are compared with list of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">L</tex> detection and it is observed that the quantized scheme is more efficient. Curves of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E_{b} / N_{0}</tex> for code rate <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">R = R_{comp}</tex> versus <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1/R</tex> are presented so that the efficiency of convolutional encoding and sequential decoding with various other modems can be compared for fixed rate codes.

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