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Example 12: A Triangle + A Sine

Analyzing wavelet: db5

Decomposition levels: 6

The signal is the sum of a sine having a period of approximately 20 and of a "triangle".

D1 and D2 are very small. This suggests that the signal contains no components with periods that are short in relation to the sampling period.

D3 and especially D4 can be attributed to the sine. The jump of the sine from A3 to D4 is clearly visible.

The details for the higher levels D5 and D6 are small, especially D5.

D6 exhibits some edge effects.

A6 contains the triangle, which includes only low frequencies.

Example 12: A Triangle + A Sine
Addressed topics
  • Detecting long-term evolution
  • Splitting signal components
  • Identifying the frequency of a sine
Further exploration
  • Try using sinusoids whose period is a power of 2.


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