## Modulation, detection, and codingTelecommunications constitute an increasingly important part of human society. In some ways, they are a foundation on which industrial countries rely. Telecommunications play in numerous areas including, banking, air traffic control, medicine, digital and voice communications. More and more people need to understand the foundations of modern telecommunications. The purpose of this book is to give an introduction to coding and modulation methods as well as other signal processing within modern telecom-munica-tions, using basic starting points. The principal topics are source coding, channel coding, modulation and detection. Adaptive channel equalisers and adaptive antennas, which are important parts of the detection process in many systems, are also covered and there are sections about link budget, sychronisation, together with codes and detectors for CDMA. The aim is to give the reader an understanding of the basic functions in telecommunication systems and the methods that are used for the analysis of a complete system. Telecommunications is a field which develops quickly. An understanding of analysing methods which goes beyond simply an understanding of the results of the analysis is valuable knowledge - knowledge that will remain relevant over time and which will aid in understanding new developments as they arise. This text contains theory, fully solved examples, exercises with answers and a short presentation of some communication systems. Basic knowledge in signal processing and probability theory is a necessity to acquire the material. The book is intended for courses on at least the master level but can also be used for self study. |

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### Contents

TELECOMMUNICATIONS | 1 |

LINK BUDGET | 19 |

INFORMATION THEORY AND SOURCE CODING | 37 |

Copyright | |

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### Common terms and phrases

algorithm amplitude analogue antenna elements Assume bandpass bandwidth baseband becomes binary bit error rate BPSK calculated carrier CDMA coder codeword complex components convolutional code corresponds cyclic codes decoding demodulator described detection detector diagram encoder equaliser equation error correcting error correcting code error pattern error probability Euclidean distance example factor feedback filter coefficients frequency Gaussian given gives Hamming code Hamming distance information symbols input signal inserted in eq interference intersymbol interference length linear loop maximum means method mobile modulated signal multiplication noise power noise ratio number of symbols obtained orthogonal output signal parameters paths phase phase-locked loop polynomial possible radio received signal sampling shift register shown in Figure signal points signal power signal to noise Solution spectrum symbol error symbol interval symbol sequence symbol stream synchronisation syndrome transform transmission channel transmitted trellis vector Viterbi algorithm wanted signal zero