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Data Type conversion block (Simulink) unable to perform Negative Saturation (May be a bug in it, please help)
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Omer Rajput
Oct 22, 2009, 6:07:01 AM10/22/09
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I have to convert a number in signed fixed point format - sfix48_39 to sfix16_15 and I am using Simulink "Data Type Conversion" with 'Integer Rounding Mode' set to 'Floor' & 'Saturate on Integer Overflow' checked.
Since, we are going from 9 Integer bits to 1 integer bit, so there is every chance that both +ve as well -ve saturation can occur.
But, the problem with Simulink's Block is that it is unable to do -ve saturation.
For e.g. If my input to convert block is -2 (in sfix48_39) then the output of the convert block comes out to be 0 (in sfix16_15) - however the output should be -1 as it is the case of -ve saturation.
I have verified it using matlab fi function:
a = fi(-2,1,48,39); % sfix48_39
bin(a)
ans =
|<---9--->||<-------------------------39----------------------->|
111111110 000000000000000000000000000000000000000
out_floor = fi(a,1,16,15, 'roundmode', 'floor'); % sfix16_15
bin(out_floor)
ans =
1||<-------15------->|
1 000000000000000
This is what was expected ie -ve saturation occured.
I don't what is going wrong with Data Type Conversion Block as it is unable to perform saturation for integers overflowing in -ve direction.
Btw, I am using MATLAB V7.8 (R2009a) and Simulink V7.3 (R2009a)
Andy Bartlett
Oct 22, 2009, 11:54:33 AM10/22/09
to
Hi Omer,
I tried the example you described.
The simulation showed the answer that you had expected, -1.
Perhaps the data types specified on your model don't agree with what was
intended.
The data type name for the input should be sfix48_En9 and the output
should be sfix16_En5. This is a little different from the data type
names you described, sfix48_39 to sfix16_15.
FYI, the MATLAB function fixdt may be helpful in checking if the data
types in the model correspond to what was intended.
help fixdt describes the rules for understanding a data type name.
Even better, fixdt will convert a data type name into a data type object.
>> fixdt('sfix48_En39')
ans =
Simulink.NumericType
DataTypeMode: 'Fixed-point: binary point scaling'
Signedness: 'Signed'
WordLength: 48
FractionLength: 39
IsAlias: false
HeaderFile: ''
Description: ''
>> fixdt('sfix16_En15')
ans =
Simulink.NumericType
DataTypeMode: 'Fixed-point: binary point scaling'
Signedness: 'Signed'
WordLength: 16
FractionLength: 15
IsAlias: false
HeaderFile: ''
Description: ''
It may also be helpful to drop in display blocks to show the input
values and output values. The display block can show the Real World
Values or configured to show the Stored Integer Value in hex, binary, etc.
Best Regards,
Andy Bartlett
The MathWorks, Inc.
Andy Bartlett
Oct 23, 2009, 8:16:08 AM10/23/09
to
Correction:
> The data type name for the input should be sfix48_En9 and the output
> should be sfix16_En5.
^^^^^^^^^^
That should be sfix16_En15.
> The data type name for the input should be sfix48_En9 and the output
> should be sfix16_En5.
That should be sfix16_En15.
Omer Rajput
Oct 31, 2009, 6:34:02 AM10/31/09
to
Andy Bartlett <an...@mathworks.com> wrote in message <hbpv7p$7nt$1...@fred.mathworks.com>...
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> Description "Double to Fixed-Point Conversion\n\nThis model shows how to convert signals between built-in and\nfi"
> "xed-point data types and illustrates how fixed-point data types\naffect the representable precision and range. The "
> "fixed-point\ndata type used in this model is fixdt(1,5,2), which is a signed\n5-bit number with 2 bits to the right "
> "of the binary point:\n\n Precision = (2^-2) = 0.25\n Representable minimum = -(2^-2)*(2^4) = -4\n Representa"
> "ble maximum = (2^-2)*(2^4-1) = 3.75\n\nOpen the Data Type Conversion block 'Dbl-to-FixPt' to modify the\nattributes"
> " of the fixed-point data type and see how they impact the\nrange and precision of the resulting fixed-point signal.\n"
> "\nTips for specifying fixed-point data types:\n\n\n* Click the |>>| button to open the Data Type Assistant.\n* You c"
> "an specify the output minimum/maximum and use these\nvalues to calculate the \"best-precision scaling\", which\nmaxi"
> "mizes the precision while covering the specified range.\n* Once you are familiar with the syntax for fixdt, you can "
> "enter\nthe expression directly into the data type parameter without\nusing the Data Type Assistant.\n"
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> Created "Fri Jun 19 12:41:37 1998"
> Creator "The MathWorks Inc."
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>
> --------------090406010604080202000601--
Thanks for your detailed reply. Sorry about late acknowledgement.
> Perhaps the data types specified on your model don't agree with what was
> intended.
Yes, you are right. I had made an embarrassing mistake in my model.
Thanks a lot for your reply.
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