IQmath
IQ Fractional Representation
A new approach to fixed-point algorithm development, termed “IQmath”, can greatly simplify the
design development task. This approach can also be termed “virtual floating-point” since it looks
like floating-point, but it is implemented using fixed-point techniques.
IQ Fractional Representation
IQ Fractional Representation
S IIIIIIII fffffffffffffffffffffff
0
31
32 bit mantissa
Advantage
Advantage
⇒
⇒
Precision same for all numbers in an IQ format
Precision same for all numbers in an IQ format
Disadvantage
Disadvantage
⇒
⇒
Limited dynamic range compared to floating point
Limited dynamic range compared to floating point
-2
I
+ 2
I-1
+ … + 2
1
+ 2
0
.
2
-1
+ 2
-2
+ … + 2
-Q
The IQmath approach enables the seamless portability of code between fixed and floating-point
devices. This approach is applicable to many problems that do not require a large dynamic range,
such as motor or digital control applications.
C28x - Numerical Concepts & IQmath
8 - 15
Summary of Contents for C28 Series
Page 64: ...Summary 3 16 C28x Peripheral Registers Header Files ...
Page 78: ...Interrupt Sources 4 14 C28x Reset and Interrupts ...
Page 218: ...Lab 9 DSP BIOS 9 22 C28x Using DSP BIOS ...
Page 244: ...Lab 10 Programming the Flash 10 26 C28x System Design ...
Page 273: ...Appendix A eZdsp F2812 C28x Appendix A eZdsp F2812 A 1 ...
Page 276: ...Appendix P2 Expansion Interface A 4 C28x Appendix A eZdsp F2812 ...
Page 277: ...Appendix P4 P8 P7 I O Interface C28x Appendix A eZdsp F2812 A 5 ...
Page 278: ...Appendix A 6 C28x Appendix A eZdsp F2812 ...
Page 279: ...Appendix P5 P9 Analog Interface C28x Appendix A eZdsp F2812 A 7 ...
Page 282: ...Appendix A 10 C28x Appendix A eZdsp F2812 TP1 TP2 Test Points ...