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Illustrated Examples

Fourteen illustrated examples are included in this section, organized as shown:

Example
Equation
Signal Name
MAT-File
Example 1: A Sum of Sines
A sum of sines:


s1(t)
sumsin
Example 2: A Frequency Breakdown
A frequency breakdown:


s2(t)
freqbrk
Example 3: Uniform White Noise
A uniform white noise:
on the interval
b1(t)
whitnois
Example 4: Colored AR(3) Noise
A colored AR(3) noise

:
b2(t)
warma
Example 5: Polynomial + White Noise
A polynomial + a white noise:
on the interval


s3(t)
noispol
Example 6: A Step Signal
A step signal:


s4(t)
wstep
Example 7: Two Proximal Discontinuities
Two proximal discontinuities:


s5(t)
nearbrk
Example 8: A Second-Derivative Discontinuity
A second-derivative discontinuity:


s6 is f3 sampled at 10-3
s6(t)
scddvbrk
Example 9: A Ramp + White Noise
A ramp + a white noise:


s7(t)
wnoislop
Example 10: A Ramp + Colored Noise
A ramp + a colored noise:


s8(t)
cnoislop
Example 11: A Sine + White Noise
A sine + a white noise:


s9(t)
noissin
Example 12: A Triangle + A Sine
A triangle + a sine:


s10(t)
trsin
Example 13: A Triangle + A Sine + Noise
A triangle + a sine + a noise:




s11(t)
wntrsin
Example 14: A Real Electricity Consumption Signal
A real electricity consumption signal
--
leleccum

Please note that

The examples include specific comments and feature distinct domains -- for instance, if the level of decomposition is 5,


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