Binary Chirp Signals in - Mixture Noise: Coherent and Noncoherent Detection

The detection of weak binary chirp signals in isin-mixture noise environment is addressed. Both coherent and noncoherent reception cases are treated. Optimum weak signal receiver structures are derived and analyzed. Closed-form expressions for bit error probabilities of these receivers are derived, and the theoretical bit error rates are illustrated as a function of the modulation parameters, signal-to-noise ratio, detection sample size, and parameters of the first-order probability density of the noise. A comparison of the performances of coherent and noncoherent receivers is also presented. The noise environment is modeled as Gaussian-Gaussian mixture model.