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| resources:tools-software:sigmastudio:usingsigmastudio:numericformats [29 Nov 2018 21:04] – [8.24 (Decimal) Format] KenM | resources:tools-software:sigmastudio:usingsigmastudio:numericformats [27 Jan 2021 22:35] (current) – use wp> interwiki links Robin Getz | ||
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| To represent non-integer values, all of the SigmaDSP architectures use fixed-point numeric formats (rather than the more common floating point) to maximize the precision needed for audio signal processing. Fixed-point numbers are simply formatted as **A.B**, where A is the number of bits to the left of the decimal point (the integer part) and B is the number of bits to the right of the decimal point (the fractional part). | To represent non-integer values, all of the SigmaDSP architectures use fixed-point numeric formats (rather than the more common floating point) to maximize the precision needed for audio signal processing. Fixed-point numbers are simply formatted as **A.B**, where A is the number of bits to the left of the decimal point (the integer part) and B is the number of bits to the right of the decimal point (the fractional part). | ||
| - | The combined value A.B is in 2's complement format enabling both positive and negative values. For more information on two's complement representations, | + | The combined value A.B is in 2's complement format enabling both positive and negative values. For more information on two's complement representations, |
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| Audio is commonly formatted as a decimal value in the range of (1 - 1 LSB) to -1. A full scale 24-bit input signal has a positive peak value in 24 bit, 2's complement representation of: | Audio is commonly formatted as a decimal value in the range of (1 - 1 LSB) to -1. A full scale 24-bit input signal has a positive peak value in 24 bit, 2's complement representation of: | ||
| - | 0111 1111 1111 1111 1111 1111 = 1 - 1 LSB = largest positive value | + | 0111 1111 1111 1111 1111 1111 = 1 - 1 LSB = largest positive |
| Adding an LSB to represent a true value of one requires a larger word. If we add 8 bits of headroom (MSB zero padding) and move the sign bit left, the 8.24 representation becomes: | Adding an LSB to represent a true value of one requires a larger word. If we add 8 bits of headroom (MSB zero padding) and move the sign bit left, the 8.24 representation becomes: | ||
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| 0000 0000 1111 1111 1111 1111 1111 1111 = 1 - 1 LSB | 0000 0000 1111 1111 1111 1111 1111 1111 = 1 - 1 LSB | ||
| - | Notes that moving a leading ' | + | Note that moving a leading ' |
| 0000 0000 0000 0000 0000 0000 0000 0000 = 0.0 | 0000 0000 0000 0000 0000 0000 0000 0000 = 0.0 | ||
resources/tools-software/sigmastudio/usingsigmastudio/numericformats.txt · Last modified: 27 Jan 2021 22:35 by Robin Getz