Synchronous digital transmission over multiple channel systems
Abstract
The work deals with the problem of detecting synchronous data sequences transmitted over multiple channel systems and disturbed by noise and intersymbol and interchannel interference. The structure of the optimal linear receiving filter is derived. The multidimensional Nyquist criterion is defined, and a simple expression is derived for the error probability of systems which satisfy this criterion. The concepts of maximum likelihood sequence estimation are examined, and two maximum likelihood sequence estimation algorithms are generalized for maximum likelihood vector sequence estimation. To apply the vector Viterbi algorithm a multiple whitened matched filter is defined. The vector Ungergoeck algorithm is also studied, which uses the sampled output of the multiple matched filter directly.
 Publication:

Ph.D. Thesis
 Pub Date:
 March 1976
 Bibcode:
 1976PhDT........18V
 Keywords:

 Bit Synchronization;
 Linear Receivers;
 Maximum Likelihood Estimates;
 Multichannel Communication;
 Pulse Communication;
 Algorithms;
 Delay Lines;
 Error Analysis;
 Error Signals;
 Intersymbolic Interference;
 Matched Filters;
 Nyquist Frequencies;
 Sequential Control;
 Viterbi Decoders;
 Communications and Radar