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