## A Mean-square Error Analysis of Several Demodulation Systems |

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A. M. Mood a(t+TJ additive noise amplitude AoNo Appendix assumed assumption autocorrelation demodulator offers autocorrelation function average output power bandpass amplifier co)x communication channel convolution integrals correlation demodulator cos2aiQx cos2co cos2co x cos2u cosovx crosscorrelation demodulator d-c term demodulation systems design of demodulation diagram eb(t Electronics Research Laboratory eo(t error analysis error criterion error terms evaluate to zero figure of merit improvement input l.Ol lowpass filter Fig Manipulating Unit-Step Functions minimum modulating intelligence a(t n(t+T noise-corrupted output voltage Ra(x random variables range from d-c RNXN(T RO(T+X RQ(x RS(T s(t+T s(t+T-x shot noise signal components signal term signal-to-noise ratio signals in additive sin(2co sin(2ov sino^x square-law demodulator Stanford University statistical design statistical independence systems for signals t-x)cosco t+T-x t+T)a total average output total error TR-No two-amplifier demodulator U(co uncorrelated uniform power spectrum white gaussian noise Wiener-Khintchine relationship zero mean zero since a(t