For datasets 1a to 1d, two block functions should be identified. The start and end days of the block function describing the first anomaly should be 5 and 8, and the amplitude should be 10 m3/h. For the second anomaly the start and end columns of the block function should be 15 and 18, and the amplitude should be 5 m3/h. Table 3 summarizes the start and end days as well as the amplitudes of the block functions obtained by the different tests. The last two columns in the table display the actual used steps to form the block functions and the norm (Equation (3)), i.e. the difference (or distance) between the difference between the original matrix and the reconstructed matrix. This norm can also be used to compare results obtained by different tests in a more straightforward way.

Table 3

Characteristics of the block functions obtained by the performed tests on datasets 1a–1d, corresponding used steps and norm

Block function 1
Block function 2
Block function 3
DatasetTestStartEndAmplitude (m3/h)StartEndAmplitude (m3/h)StartEndAmplitude (m3/h)CiNumber of steps used
1a All 10.05 15 18 5.04 3.5
1b All except 9.84 15 18 4.48 4.3
11 9.75 15 18 4.39 14 –0.21 4.6
1c All except 8.96 15 20 3.75 22.0
7, 8 9.03 15 18 5.04 7.6
1d All except 8.18 15 20 3.68 19.2
6, 10 8.51 15 22 3.32 24.1
11 8.82 15 20 4.50 13 1.68 17.1
15 50.8
Block function 1
Block function 2
Block function 3
DatasetTestStartEndAmplitude (m3/h)StartEndAmplitude (m3/h)StartEndAmplitude (m3/h)CiNumber of steps used
1a All 10.05 15 18 5.04 3.5
1b All except 9.84 15 18 4.48 4.3
11 9.75 15 18 4.39 14 –0.21 4.6
1c All except 8.96 15 20 3.75 22.0
7, 8 9.03 15 18 5.04 7.6
1d All except 8.18 15 20 3.68 19.2
6, 10 8.51 15 22 3.32 24.1
11 8.82 15 20 4.50 13 1.68 17.1
15 50.8

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