# Accession Number:

## AD0411994

# Title:

## A STATISTICAL ANALYSIS OF THE SYNCHRONIZATION OF DIGITAL RECEIVERS,

# Descriptive Note:

# Corporate Author:

## CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB

# Personal Author(s):

# Report Date:

## 1962-04-11

# Pagination or Media Count:

## 79.0

# Abstract:

The probability of error of certain digital transmission systems is investigated, under the condition that the transmitter-receiver synchronization is imperfect. It is assumed that the recei the Bayes receiver that would be optimum were the synchronization perfect. It is further assumed that a synchronizing signal is transmitted separately from the infor mation-bearing signals, and that the sum of the two signal powers is constrained to a given value. The conditional error probability for a given synchronization error is evaluated for two particular binary systems, one using bipolar rectangular pulses and the other using unipolar cosine-squared pulses. The optimum synchronizer for the case of a sine-wave synchronizing signal is analyzed. The average error probability is then calculated by averaging the conditional error probability, given the synchronization error, over the distribution of synchronization error for this synchronizer. This average error probability is then minimized with respect to partition of the available power between the synchronizing and information channels. A detail ed analysis and curves are given for the case of bipolar rectangular information signals. Author