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The normal distribution
Random processes 77
The power spectrum
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2irFt amplitude approximately arcsin average power band bandwidth binary C. E. Shannon channel capacity chap coefficient components constant correlation function covariance determine deviation Dirichlet region discrete entropy rate equal ergodic ergodic random process error probability exceed filter finite Fourier transform frequency F frequency modulation gaussian noise gaussian random process Hence infinite information rate input signal integral interval jointly ergodic length limit logarithm low-frequency output McGraw-Hill Book Company mean-squared modulation multiplying N. M. Blachman narrow-band gaussian noise nonlinear normal distribution obtain optimum receiver output signal output signal-to-noise ratio output-noise power phase phasor power spectral density probability density function Problem random telegraph signal random variables Rayleigh distribution redundancy representing respectively result of Prob sample sequence Show signal sphere signal-to-noise ratio sinusoid square square-law statistically independent symbols symmetric theorem Theory threshold variance vector waveform white gaussian noise width zero-mean