# Time-varied threshold

Data can be thresholded using a threshold function (TVT or time-varied threshold) that is dependent on range from the transducer. For an Sv variable the function of range is of the same form as a "20log(r)" time-varied gain (TVG) function and for a TS variable it is of the same form as a "40log(r)" time-varied gain (TVG) function.

See also: Time-varied threshold on the Data page of the Variable Properties dialog box.

## For Sv variables

TVT(r) = Sv(1) + 20log(r) + 2(r-1)

Where:

Sv(1) is volume backscattering strength at one meter range as specified on the Data page of the Variable Properties dialog box (dB re 1m-1).

r is the range or corrected range from the transducer (m)

is the absorption co-efficient (m-1). Note that for Simrad EK80 data the absorption coefficient is calculated using the Francois and Garrison equation.

The threshold function used for a ping is:

Sv'(r) =    Sv(r)                 if  Sv(r)  >   TVT(r)

-999                  if  Sv(r)  <= TVT(r)

## For TS variables

TVT(r) = TS(1) + 40log(r) + 2(r-1)

Where:

TS(1) is point backscattering strength at one meter range as specified on the Data page of the Variable Properties dialog box (dB re 1m2).

r is the range or corrected range from the transducer (m)

is the absorption co-efficient (m-1). Note that for Simrad EK80 data the absorption coefficient is calculated using the Francois and Garrison equation.

The threshold function used for a ping is:

TS'(r) =    TS(r)                 if  TS(r)  >   TVT(r)

-999                 if  TS(r)  <= TVT(r)

## Illustrated example

The following three Sv echograms, using the EK500 color scheme, display the effects of noise amplified by a time-varied gain and the application of a time-varied threshold:

 Received Signal Noise signal with TVG applied (-150 dB at 1m from transducer) Received signal with TVT applied (-150 dB at 1m from transducer)

The value of "-150 dB at 1m" was arrived at by examining the signal in clear water, which is known to be recording noise, and fitting a TVG curve through it as illustrated below:

The bottom echo trace is clearly visible at ~220m range. A noise estimation is made as -150 dB at 1m from the transducer from these data. Pure noise of this intensity would produce the middle of the three echograms illustrated above. If this is used as a threshold curve the noise is effectively removed from the signal. Below is illustrated a ping from the middle of this sample echogram in which schools are clearly visible as the those regions above the threshold curve:

The noise estimate is arrived at by selecting an Sv value from a ping graph which is deemed representative of the noise level, noting its range, and applying the TVT formula above in reverse (with a known absorption coefficient) to determine the value of Sv(1).