Programmer Guide/Command Reference/EVAL/log2lin: Difference between revisions

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:;<var>ref</var>: the reference value; must be a positive number (default=1)
:;<var>ref</var>: the reference value; must be a positive number (default=1)
:;<var>fac</var>: the factor; must be a positive number (default=20)
:;<var>fac</var>: the factor; must be a positive number (default=20)
;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''.
;Result: The result ''r'' has the same type as ''x'' and contains the converted elements of ''x''. The following conversion algorithms are used:
::*lin2log: ''r''<sub>i,j</sub> = ''fac'' * log<sub>10</sub>(''x''<sub>i,j</sub> / ''ref'')
::*'''lin2log''': ''r''<sub>i,j</sub> = ''fac'' * log<sub>10</sub>(''x''<sub>i,j</sub> / ''ref'')
::*log2lin: ''r''<sub>i,j</sub> = ''ref'' * 10 ^ (''x''<sub>i,j</sub> / ''fac'')
::*'''log2lin''': ''r''<sub>i,j</sub> = ''ref'' * 10 ^ (''x''<sub>i,j</sub> / ''fac'')
:Note: The function '''dB''' is an alias for '''log2lin''' and is implemented for compatibility with the expressions used in the [[Programmer_Guide/Command_Reference/NUM|NUM]] and [[Programmer_Guide/Command_Reference/INT|INT]] command.
:Note: The function '''dB''' is an alias for '''log2lin''' and is implemented for compatibility with the expressions used in the [[Programmer_Guide/Command_Reference/NUM|NUM]] and [[Programmer_Guide/Command_Reference/INT|INT]] command.



Revision as of 14:51, 6 April 2011

Convert the elements of x to logarithmic values (e.g. dB) and vice versa.

Usage
lin2log(x {, ref {, fac}})
log2lin(x {, ref {, fac}})
x
a scalar, vector or matrix
ref
the reference value; must be a positive number (default=1)
fac
the factor; must be a positive number (default=20)
Result
The result r has the same type as x and contains the converted elements of x. The following conversion algorithms are used:
  • lin2log: ri,j = fac * log10(xi,j / ref)
  • log2lin: ri,j = ref * 10 ^ (xi,j / fac)
Note: The function dB is an alias for log2lin and is implemented for compatibility with the expressions used in the NUM and INT command.
See also
log, exp, fft, cr2len,

Example:

// #spe is a vector containing a complex spectrum
#aref := set '20e-6' // reference value: 20 micro Pascal
#logamp := eval lin2log(cr2len($#spe), $#aref) // the log. amplitude spectrum in dB

// apply 6dB attenuation to the signal stored in the vector #sig
$#sig := eval $#sig * db(6)

<function list>

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