THE SPECTRUM OF THE SQUARE OF A SYNCHRONOUS RANDOM PULSE TRAIN

New forms are derived relatively simply for the spectrum of the square of a synchronous random pulse train of the form whose coefficients ci are independent, zero-mean, unit-variance random variables, with g(t) a given deterministic pulse shape. The lines in the discrete part of this spectrum are useful for hit and for carrier synchronization in digital communication systems, while the continuous part of the spectrum limits the signal-to-noise ratio adable in any given bandwidth from the spectral lines. © 1990 IEEE