Py. Kam et al., GENERALIZED QUADRATIC RECEIVERS FOR ORTHOGONAL SIGNALS OVER THE GAUSSIAN-CHANNEL WITH UNKNOWN PHASE FADING/, IEEE transactions on communications, 43(6), 1995, pp. 2050-2059
The orthogonal signal structure has been shown to be the superposition
of an antipodal signal set and an unmodulated (pilot tone) component
which can be used for channel measurement, Starting from this point of
view, the quadratic receiver for orthogonal signals over the Gaussian
channel with unknown phase/fading has been shown to be equivalent to
a detector-estimator receiver, The estimator makes an optimum estimate
of the unknown complex channel gain based on the channel measurement
provided by the unmodulated component of the received signal, This cha
nnel estimate then forms a (partially) coherent reference for the dete
ctor in detecting the data carried by the antipodal signaling componen
t of the received signal, This paper exploits this detector-estimator
structure of the quadratic receiver, and generalizes it to a receiver
in which the estimator makes an estimate of the channel gain in each s
ignaling interval based on the totality of signals received over all t
he signaling intervals or a subset of these intervals, The generalized
quadratic receiver is just as simple to implement as the conventional
quadratic receiver, and theoretical and simulation results show that
it can achieve substantial performance gains over the conventional rec
eiver, A theory is presented to show that the generalized quadratic re
ceiver is an implementable approximation to the optimum symbol-by-symb
ol receiver for uncoded orthogonal signals over the Gaussian channel w
ith unknown phase/fading. The theory shows that the structure provides
a unified and systematic approach to the design of coherent symbol-by
-symbol receivers, and shows that the conventional carrier-loop-type r
eceivers are ad hoc,