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Outside the setting of TDA, our model provides a setting for fashioning point processes, in any dimension, in which both local interactions between the points, along with global restraints on the overall, global, shape of the point cloud, are important and perhaps competing.Īdcock, A., Carlsson, E., Carlsson, G.: The ring of algebraic functions on persistence bar codes. In addition, we introduce to TDA the idea of bagplotting, a powerful technique from non-parametric statistics well adapted for differentiating between topologically significant points, and noise, in persistence diagrams. Here we significantly improve on the power of RST via the introduction of a more realistic class of models for the persistence diagrams. To a large extent, the statistical analysis of persistence diagrams has been hindered by difficulties in providing replications, a problem that was addressed in an earlier paper, which introduced a procedure called replicating statistical topology (RST). Persistence diagrams themselves are a key tool of topological data analysis (TDA), crucial for the delineation and estimation of global topological structure in large data sets. If you change the paramter rfade from 0 to 1, you can include the effect of fading.īy changing the value of Eb/N0 (variable ebn0), you can obtain the graph that shows the relationship between Eb/N0 and BER and that can been seen in the figures of the book.We introduce a new model for planar point processes, with the aim of capturing the structure of point interaction and spread in persistence diagrams.
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And, simulation result is stored in the file (BER.dat) defined with (1)-(y). Where first number 3 is Eb/No, second number 4492 is the number of errors, third number 200000 is the number of data, and fourth number 2.246000e-002 is BER. (3) Then, you can see the following simulation result on your command window. (y) Output file name to store the simulation results (w) Flat fading or not (0-Normal, 1-Flat) (o) Do you include the Rayleigh fading or not ? (0-No, 1-Yes)
KAISER PHYSIOTOOLS CODE
(i) Code sequence (1-M-sequence, 2-Gold sequence, 3-Orthogonal Gold sequecne) Īnd, the function goldseq(m1,m2,N) outputs N one-chip shifted Gold-sequences.įirst of all, we set simulation parameters in "dscdma.m". The function mseq(X,Y,Z) outputs an M-sequence of the stage number X, the position of feedback taps Y, and the initial value of registers Z.Īnd, the function mseq(X,Y,Z,N) outputs N one-chip shifted M-sequences.įirst of all, you must prepare preferred pair of M-sequences.įor example, you type the following commands, and generate M-sequences m1, m2.Īs a result, you can get a Gold-sequence. > crosscorr(,)Īs a result, the following cross-correlation value is obtained. If you would like to calculate of sequences and, you can type the following command. If you would like to calculate of a sequence, you can type the following commandĪs a result, the following auto-correlation value is obtained. If you copy all of files to /matlabR12/work/chapter5, you only type the following command. Next, you can go to the directory that have all of programs in this section by using change directory (cd) command. Then, you start to run MATLAB and you can see the following command prompt in the command window. If you would like to try to use the above programs by using MATLAB.įirst of all, please copy all of files to your created adequate directory. The relationship between file name and the number of program written in the book is shown in as follows. In this directory, we can find the seventeen files. % to We try to do our best to answer your questions. % If you have any bugs and questions in our simulation programs, please e-mail