This thesis investigates the behavior of two digital communication
systems based on Moving-Average Matched Filters (MAMF). In general,
matched filters are instrumental in detecting signals corrupted by noise as they
are designed to maximize the probability of detection of the transmitted signals.
The MAMF represents a subset of the class of matched filters.
The two communication systems under investigation are the classical
MAMF system and one of its modifications, the proposed MAMF system. In the
traditional system the N-dimensional signal vector, which encodes the bit to be
communicated, remains fixed throughout the whole communication process
( transmission and reception). In the proposed system the encoding N-dimensional
signal vector is composed of K linearly independent basis vectors
spanning a signal vector subspace of dimension M (= N /K). By combining these
basis vectors in the receiver, any vector in the signal vector subspace can be
formed in order to maximize the Output Signal-to-Noise Ratio (OSNR).
The relative measure of comparison for the two systems is the Signal-to-Noise
Ratio Improvement (SNRI). The SNRI is the ratio of the OSNR, which is
measured at the output of the receiver, to the Input Signal-to-Noise Ratio
(ISNR), which is measured at the input of the receiver. Since the ISNR is fixed
for a particular transmitted signal vector and noise characteristics, an attempt is
made to maximize the SNRI by maximizing the OSNR.
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