## Random processes, communications, and radar |

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ambiguity function analysis arbitrary average bandwidth calculate channel characteristic function complex consider constant constraint convergence correlation function corresponding course defined denotes density function discussion distribution function doppler ensemble ergodic ergodic hypothesis estimate example expected value filter finite formulated Fourier transform frequency gaussian random variables hence impulse response independent input integral interval inverse jointly gaussian Lemma mathematical mean-square error measurable function measure space metrically transitive minimize modulation noise nonlinear observation obtain operations optimum output parameter Parseval's theorem phase errors power-density spectrum probability density problem proof pulse Px(a quantization radar radius of gyration random process real random receiver receiver operating characteristic resolution Rx(t sequence signal signal-to-noise ratio simple specific stationary statistics subsets Suppose target Theorem theory tion transfer function turn xa(t xu(t