Spectral waves fall into two broad categories: those with round or square templates and those with a diagonal/slanted template. The following describes the first wave function; in all cases the second function is identical to the first except for phase:
These wave forms are generally described in work by Wei and colleagues (Wei and Chen 1998; Wei et al. 1999; Wei 1999, 2000a, 2000b; Wei and Zhang 2000).
The sine wave is the standard wave used in spectral analysis. The square wave is actually a special case of the three-value waves: the value in the title of these waves indicates the distance between the upper and lower peaks, thus the square wave is actually a “0” three-value wave.
π/4 |
if sin(v) > 0 | |
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-π/4 |
if sin(v) < 0 |
0 |
if sin(v) = 0 |
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0 |
otherwise |
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0 |
otherwise |
The triangular wave is actually a special case of the trapezoidal waves: the value in the title of these waves is the distance covered by the slanted sides of the trapezoids (high peak to low peak), thus the triangular wave is actually a π/2 trapezoidal wave.
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0 |
if v = 0 |
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otherwise |
