09-Jan-2023 21:34:10 colored_noise_test(): MATLAB/Octave version 4.2.2. Test colored_noise(). r8vec_sftf_test(): MATLAB version r8vec_sftf() computes the "slow" Fourier transform (forward) of a vector of real data. The original data can be recovered using R8VEC_SFTB. Fourier coefficients: 0.527266 -0.077655 -0.014646 -0.100172 -0.097967 -0.071440 -0.055828 0.076659 -0.004159 -0.157591 -0.060167 0.062417 -0.046256 0.102857 0.132317 Compare data R and recovered data R2: 0.362342 0.362342 0.099120 0.099120 0.562651 0.562651 0.443318 0.443318 0.712404 0.712404 0.831448 0.831448 0.179620 0.179620 0.838691 0.838691 0.577579 0.577579 0.417855 0.417855 0.360943 0.360943 0.844488 0.844488 0.445239 0.445239 0.758622 0.758622 0.474674 0.474674 r8vec_sftf_test(): Normal end of execution. colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 0.000000 Variance is 1.000000 Noise sample: 1: 0.505813 2: -1.48758 3: 1.37948 4: 1.27688 5: -0.50486 6: 0.0222772 7: -0.707908 8: -1.36703 9: 0.413306 10: -0.640873 Data written to file "alpha_0.00.txt". colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 0.250000 Variance is 1.000000 Noise sample: 1: 0.824753 2: -1.49078 3: -3.09391 4: 0.218635 5: 1.34089 6: -0.408596 7: 0.514974 8: 0.363432 9: 1.00345 10: 0.534807 Data written to file "alpha_0.25.txt". colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 0.500000 Variance is 1.000000 Noise sample: 1: 1.56977 2: 0.749213 3: 0.541593 4: 1.05776 5: 0.872976 6: -0.198261 7: -1.3169 8: -0.876586 9: -0.940121 10: -0.55159 Data written to file "alpha_0.50.txt". colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 0.750000 Variance is 1.000000 Noise sample: 1: -0.843926 2: 0.991899 3: 0.123969 4: 0.503984 5: 0.0568735 6: -0.189097 7: 0.419531 8: 1.07463 9: 1.53761 10: 1.00215 Data written to file "alpha_0.75.txt". colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 1.000000 Variance is 1.000000 Noise sample: 1: 1.27923 2: 0.941118 3: -0.162349 4: -0.81666 5: -1.57748 6: 0.980924 7: 1.95567 8: -0.837928 9: -0.690124 10: 0.479334 Data written to file "alpha_1.00.txt". colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 1.250000 Variance is 1.000000 Noise sample: 1: -0.28416 2: -1.75218 3: -1.92329 4: -2.13841 5: -1.42739 6: -1.0713 7: -1.62551 8: -0.832008 9: 0.201192 10: -0.0326442 Data written to file "alpha_1.25.txt". colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 1.500000 Variance is 1.000000 Noise sample: 1: 1.05441 2: 1.67089 3: 1.4444 4: -0.508296 5: 1.15097 6: 2.55119 7: 1.28035 8: 3.37457 9: 2.96199 10: 2.43726 Data written to file "alpha_1.50.txt". colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 1.750000 Variance is 1.000000 Noise sample: 1: 0.373159 2: -0.824277 3: -0.836017 4: -0.0255315 5: -1.44653 6: -2.14563 7: -1.84033 8: -0.417851 9: -0.858121 10: -0.522014 Data written to file "alpha_1.75.txt". colored_noise_test01(): Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 2.000000 Variance is 1.000000 Noise sample: 1: -0.910519 2: -0.208858 3: -0.578378 4: -1.96381 5: -1.60179 6: -2.20157 7: -2.81794 8: -1.69824 9: -1.61194 10: -2.96288 Data written to file "alpha_2.00.txt". colored_noise_test02(): Generating 200 realizations Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 0.000000 Variance is 1.000000 Graphics saved as "alpha_0.00_paths.png" colored_noise_test02(): Generating 200 realizations Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 0.500000 Variance is 1.000000 Graphics saved as "alpha_0.50_paths.png" colored_noise_test02(): Generating 200 realizations Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 1.000000 Variance is 1.000000 Graphics saved as "alpha_1.00_paths.png" colored_noise_test02(): Generating 200 realizations Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 1.500000 Variance is 1.000000 Graphics saved as "alpha_1.50_paths.png" colored_noise_test02(): Generating 200 realizations Generating 128 sample points. 1/F^ALPHA noise has ALPHA = 2.000000 Variance is 1.000000 Graphics saved as "alpha_2.00_paths.png" make_plots() We assume colored_noise_test() has just been run, creating files alpha_0.00.txt through alpha_2.00.txt. This program computes a common axis size for these files and plots each data set as a separate PNG file. Number of entries in sequence is 128 Y-range of plots is -4.585078 to 16.329756 make_plots(): Normal end of execution. colored_noise_test(): Normal end of execution. 09-Jan-2023 22:04:22