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An optimum predetection Gaussian bandpass filter for differential detection of MSK is derived theoretically with numerical techniques. The optimum product of bandwidth(B)and bit duration(T), compromising the noise reduction effect with the intersymbol interference effect, is calculated at a given bit error rate (BER). It is shown that the optimumBTproduct is 1.21 with 4.02 dB degradation at 10-6BER where the degradation is defined as the increase inEb/N₀relative to ideal coherent detection of MSK.
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Hiroshi Suzuki (1981) studied this question.
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