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Representation of Signals and Systems
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applied assume autocorrelation function average power average probability band band-pass signal bandwidth baseband baseband signal binary PSK binary sequence binary wave carrier frequency carrier wave carrier-to-noise ratio channel coherent complex envelope Consider correlation corresponding defined delta function demodulator denote DSBSC wave duration envelope detector equal Figure filter output FM wave frequency component frequency modulation Hilbert transform impulse response input signal integral intersymbol interference interval linear low-pass filter matched filter mean-square message signal modulating wave multiplexing noise power obtained oscillator output signal-to-noise ratio PCM system phase phase-locked loop power spectral density probability density function probability of error Problem product modulator QPSK quadrature components quantizing random process X(t random variable received signal receiver output result sample function shown in Fig signal g(t signal-to-noise ratio spectral density N0/2 spectrum SSB wave symbol error transfer function transmission bandwidth transmitted signal variance vector waveform white Gaussian noise zero mean