Cleve Moler October 4, vi Preface. Chapter 1 Iteration Iteration is a key element in much MATLAB Data Analysis - MathWorks - MATLAB and Simulink for. Request PDF on ResearchGate | On Sep 1, , Won Y. Yang and others published MATLAB/Simulink for Digital Communication. MATLAB & Simulink for Digital Communication - Download as PDF File .pdf), Won Y. Yang, Yong S. Cho, Won G. Jeon, Jeong W. Lee, Jong H. Paik Jae K.
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MATLAB Central contributions by Won Yang. Ph. D. in EE Chapter 9 of " MATLAB/Simulink for Digital Communication" (authored by Won Y. Yang et al.) 9 years. MATLAB/Simulink for Digital Communication [Won Y. Yang, Yong S. Cho, Won G. Jeon, Jeong W. Lee, Jong H. Paik, Jaekwon Kim, Mi-Hyun Lee, Kyung W. Park. MATLAB^/Simulink for. Digital Communication. Won Y. Yang, Yong S. Cho, Won G. Jeon, Jeong W. Lee, Jong H. Paik. Jae K. Kim, Mi-Hyun Lee, Kyu I. Lee.
Accordingly, they shall not be liable for any incidental or consequential damages in connection with, or arising out of, the readers use of, or reliance upon, the material in this book. The reader is expressly warned to consider and adopt all safety precautions that might be indicated by the activities herein and to avoid all potential hazards. By following the instructions contained herein, the reader willingly assumes all risks in connection with such instructions.
The MathWorks does not warrant the accuracy of the text or exercises in this book. Channel Coding Readers are supposed to have taken at least two junior-level courses, one on signals and systems and another one on probability and random processes. In other words, readers should have a basic knowledge about the linear system, Fourier transform, Laplace transform, z -transform, probability, and random processes although the first two chapters of this book provide a brief overview of some background topics to minimize the necessity of the prerequisite courses and to refresh their memory if nothing else.
It is not the aim of this book to provide any foundation in the basic theory of digital communication since the authors do not have such a deep knowledge as to do it. The first aim of this book is to help the readers understand the concepts, techniques, terminologies, equations, and block diagrams appearing in the existing books on communication systems while using MATLAB to simulate the various communication systems most of which are described by block diagrams and equations.
Is it too much to expect that a novice will become interested in communications and simultaneously fall in love with MATLAB, which is a universal language for engineers and scientists after having read this book through?
Is it just the authors imagination that the readers would think of this book describing and explaining many concepts in MATLAB rather than in English? In any case, the authors have no intention to hide their hope that this book will be one of the all-the-time-reserved books in most libraries and can be found always on the desks of most communication engineers.
The features of this book can be summarized as follows: 1. This book presents more MATLAB programs for the simulation of communication systems than any existent books with the same or similar titles as an approach to explain most things using MATLAB and figures rather than English and equations.
Most MATLAB programs are presented in a complete form so that the readers can run them instantly with no programming skill and focus on understanding the behavior and characteristic of the simulated systems and making interpretations based on the tentative and final simulation results. Many programs have a style of on-line processing rather than batch processing so that the readers can easily understand the whole system and the underlying algorithm in details block by block and operation by operation.
Furthermore, the on-line processing style of the programs is expected to let the readers develop their insight into the real system.
Authors never think that this book can replace the existent books made by many great authors to whom they are not comparable to. The contents of this book are derived from the works of many known or unknown great scientists. Any questions. We gratefully acknowledge the editorial and production staff of A-Jin Publishing Company for their kind. Special thanks should be given to Senior Researcher Yong-Suk Park for his invaluable help in correction.
Signal energy per symbol. Basis signal waveforms Ts Ts 7. Bit time or bit duration. Average number of adjacent signal points M 7. This is why QAM signaling with rectangular signal constellation is widely used. The RCVR has two quadrature correlators. Ts Ts 7. How about the bit error probability? Under the assumption that the information symbols are Gray-coded so that the codes for adjacent signal points differ in only one bit.
The DTR judges the received signal to be the one represented by the signal point which is the closest to the point yc. LB suT:.
CAU for academic use only clear. For example. BER bit error rate performance: How low is the bit error probability for the same SNR? Data rate: Power efficiency: Bandwidth efficiency: How narrow is the bandwidth required to keep the same data transmission rate? PAR peak-to-average power ratio. How simple is the structure and how cheap is the cost for construction and maintenance?
Table 7. This tendency can be anticipated from the signal constellation diagram where the signal points get denser in the two-dimensional space and consequently. The rectangular pulse of duration D [s] in Fig. Note the following: The interval between adjacent discrete spectra in Fig. Thus it may be conjectured that. SNRb i. Before ending this section.
FSK tends to have higher power efficiency and lower bandwidth efficiency while PSK tends to have lower power efficiency and higher bandwidth efficiency. As the modulation order M or the number b of bits per symbol increases. Note that a linear combination of Gaussian processes is also Gaussian. Problems Problems 7. Plot the autocorrelation of these two noises noise0 and noise1 and make a comment on their closeness or similarity of their statistical properties such as the mean and variance.
Then run the modified program to see the changed BER curve. Does it stay away from the theoretical BER curve? Does it still touch the theoretical BER curve? What is implied by the simulation results? As depicted in Fig. Compared with QPSK, it allows no simultaneous change of two bits to prevent any state transition accompanying the phase change of o Fig.
Yang, wyyang53 hanmail. LB suT: On the other hand. Table P7. Finish it up by replacing the three parts of?
LB sw is. Does it conform with the theoretical BER curve? Does it conform with the theoretical one? If you have no idea. Problems 7. To find two orthogonal basis signal waveforms that can be used to detect the phase of the received signal. As a consequence. Problems 5. Problems Compared with Eq. You can disconnect the Display Block for signal power measurement to increase the running speed. Does the simulation result conform with that in Fig. How are the SERs compared with those obtained in a?
What does the difference come from? Note that the demodulator is implemented using matched FIR filters whose coefficient vectors or impulse responses are the reversed and delayed versions of the basis signal waveforms P7. Example 9. Note that all the operations involved in the polynomial multiplication. Due to this additional property. This remainder polynomial s may not be the same as the error vector e.
The RCVR will find the error pattern e corresponding to the syndrome s. The table is searched for a suitable error pattern by using an error pattern index vector epi.
Just as in the encoder. If the error pattern table E and error pattern index vector epi are not supplied from the calling program. It uses a table of error patterns in the matrix E. A binary convolutional code is also characterized by N generator sequences g1.
The convolutional encoder has a structure of finite-state machine whose output depends on not only the input but also the state. In this section. This encoder shifts the previous contents of every stage register except the right-most one into its righthand one and receives a new K -bit input to load the left-most register at an iteration. LK-K ]. CAU for academic use only if isempty G. Number of input bits entering the encoder at each clock cycle.
In this context. Note that the self-loop at the all-zero state is neglected so that the gains of all the paths starting from the all-zero state and coming back to the all-zero state can be obtained in a systematic way as follows. Divide the decoder input sequence rq hard. Note that the free distance as well as the decoding algorithm heavily affects the BER performance of a convolutional code. To each branch. To each set of nodes states. If all the N -bit subsequence of r or rq are not processed.
The procedure of the Viterbi algorithm is as follows see Fig. To every node at the level that is connected via some branch es to node s at the previous level. Starting from the final all-zero state or the best node with minimum cost. Move right by one stage by increasing the level index by one. In this trellis diagram. From the trellis shown in Fig.
In the case of multiple branches connected to a node. N-tmp ]. Traceback depth length.
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Number of software decision bits used to represent the input coded seqeuence. A convolutional coded sequence possibly corrupted by a noise.
It should be given as a positive integer. This mode is appropriate when the uncoded message signal has enough zeros. Decision type. Operation mode of the decoding prosess.
Note that a larger modulation order with the same SNR decreases the minimum distance among the codewords so that the BER may suffer.
As an approach to mediate between these two conflicting factors. The convolutional coding allows only certain sequences paths of signal points so that the free distance among different signal paths in the trellis can be increased. The number of signal points in the constellation is larger compared with the uncoded case.
It is just like a marriage between modulation residing on the constellation and coding living on the trellis toward a more effective utilization of bandwidth and power. This shows a trade-off between bandwidth efficiency and power efficiency. There are a couple of things to mention about TCM: Since the encoding scheme can be described by a trellis. In this encoder. As illustrated in Fig. This makes the trellis code design trying to maximize the Euclidean distance among the codewords.
Possible solutions to this dilemma are two classes of powerful error correcting codes. The former is the topic of this section and the latter will be introduced in the next section. Note that puncturing is to omit transmitting some coded bits for the purpose of increasing the code rate beyond that resulting from the basic structure of the encoder. Virginia Tech. MPRG lab. Yufei Wu. M-1 ]. Note that in the routine.
Beta k. Alpha k.
Yufei Wu.. Find the number N of output bits of the two encoders and the constraint length L from the row and column dimensions of the generator matrix G. In this way. Under the assumption of all-zero state at the initial stage depth level zero.
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Decrement k by one. Extrinsic information from the previous decoder. To prepare an equation for this information processing job of each encoder.
Polytechnic Institute and State University. How do the turbo codes work? How are the two decoding algorithms. The following should be noted: Is there any weakpoint of turbo codes? What is the measure against the weakpoint. One thing to note is that the extrinsic information Le to be presented to one decoder i by the other decoder j should contain only the intrinsic information of decoder j that is obtained from its own parity bits not available to decoder i.
To prepare the extrinsic information for the other decoder. Another thing to note is that as shown in Fig. As can be seen from the simulation results. Table P9.
Symbol Codeword 00 0 01 1 10 10 11 11 With this code. Suppose the message sequence is coded with the 7. To answer this question. Suppose the message sequence is coded with these two BCH codes.FollowDa Flow.
Yang W.Y. etc. Signals and Systems with MATLAB
FSK tends to have higher power efficiency and lower bandwidth efficiency while PSK tends to have lower power efficiency and higher bandwidth efficiency. The readers are assumed to know the basics about linear algebra, calculus on complex numbers, differentiation, and integration , differential equations, Laplace transform, and MATLAB.
Other Popular Editions of the Same Title. The convolutional coding allows only certain sequences paths of signal points so that the free distance among different signal paths in the trellis can be increased.
Quantization error 4. Signals and Systems. To find two orthogonal basis signal waveforms that can be used to detect the phase of the received signal. The RCVR has two quadrature correlators. Lee, Jong H.