Converting double values file to 2 byte per sample.

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ratnesh pandey
ratnesh pandey 2020-7-16
评论： Walter Roberson 2020-7-17
Hi,
I have a .txt file with 128 x 11900 vlaues. These values are doubles ranging from -0.00023462 to +1.0719. I need to convert them to 2 bytes per sample and store in a .bin file. I am not getting how to do it. I tried using the 'fread' function of matlab but all I am able to do is convert each sample to 8 bytes(double precision). Is there a way I can convert each sample into 2 bytes each?

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Walter Roberson
Walter Roberson 2020-7-16
two_bytes = uint16(floor(YourMatrix/1.636E-5)+15);
and fwrite() as uint16 .
reconstructed = (double(two_bytes) - 15) * 1.636E-5
the reconstruction error can be up to 1.636E-5 . You can reduce the average reconstruction error by using round() instead of floor(), but then you have to work on the boundary condition (the +15 or -15) (though there happens to be just enough slack room in the representation so that it is not a problem.)
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ratnesh pandey
ratnesh pandey 2020-7-17
"Now for any one sample, the representation in 2^16th units is floor of (the sample divided by delta). Apply that to the lower bound of your data and you get -15"
you mean -14? floor(-0.00023462/1.636E-5)

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James Tursa
James Tursa 2020-7-16
If you want a two byte floating point representation you can use half precision. E.g.,
https://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter
https://www.mathworks.com/help/fixedpoint/ref/half.html
This is one of the standard floating point formats, but will result in less precision than Walter's method because some of the bits are used for sign and exponent.

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