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DESCRIPTION OF SIGNALS
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2nfot 2nft amplitude modulation approximation assume bandwidth bandwidth occupancy carrier causal causal filter channel Chapter characteristic function components correlation function defined demodulation denote density function discussion equation estimate evaluate expression Figure Fourier transform frequency function x(t gaussian process gaussian random variables given by Eq impulse response input integral interval Let us consider linear filter lºſt low-pass filter matrix mean-square error message process message signal modulated signal nonzero notation Note observation occurs optimum filter orthogonal orthonormal output Parseval's theorem performance phase phase-lock loop probability Problem process X(t pulse modulation quantity quantization random process receiver referred region of convergence result sample function sample point Show shown in Fig signal set signal z(t signal-to-noise ratio ſº spectral density spectrum stationary stationary process statistically independent synchronous demodulation theorem transfer function transmission transmitted signal yields zero zero-mean