Thickness_mean and Height_mean

The mean thickness of an analysis domain A defined as follows.

Let Ap be the set of pings p in the analysis domain, then:

Thickness_mean.gif

Thickness_mean_and_Height_mean_m.gif

Where:

T
= the mean thickness of the domain, Thickness_mean (m)
Np

= the number of pings in the analysis domain

The value for Np is affected when
Whole excluded or no-data pings do not reduce the Thickness mean

is selected on the Analysis page of the Variable Properties dialog box.
The pings that satisfy this setting's conditions are subtracted from initial value of Np.

For more information refer to About samples and echo integration: Calculations.

tp = the thickness of ping p (m), calculated:

Note: There can be a difference in the thickness_mean of Sv echograms and single target echograms. The Sv algorithm is based on analysed samples in the domain. The single target algorithm is based on exact range calculations in the domain.

For Sv echograms

Thickness_mean_2.gif Thickness_mean_and_Height_mean_m.gif

Where:

As
= set of samples s in ping p in the analysis domain.
Dtp
= the thickness of one sample - that is, the sample spacing for ping p (m).
epsilon s = 0 if sample s is excluded from the analysis of the domain.
1 otherwise, including below threshold data.

For single target echograms

Thickness_mean_and_Height_mean_m.gif

Where:

NR
= the number of boundaries crossing the ping (-). See illustration below.
Ri

= The range of boundary i in the ping (m). See illustration below.

epsilon i = 0 if the interval Ri R < Ri+1 is excluded from analysis.
1 otherwise

Note: If an analysis domain contains no single targets, no value of thickness mean is calculated or exported. On the other hand, when an analysis domain does contain at least one single target, contributions to tp are included from intervals that are included in analysis but have no single targets within the interval.

An illustration of boundaries in a ping, for the purposes of calculating tp. The red hatching is the analysis-hatching.

Height_mean (meters)

Height_mean is the projection of thickness_mean onto the vertical axis taking transducer geometry into account. For a vertically mounted transducer pointing directly downwards, Height_mean and Thickness_mean are equal.

See also

About analysis domains
About transducer geometry

About depth and range

Samples

About integration
About samples and integration
About no data
Thickness mean and Height mean
ABC and NASC