Binary Fractions
As with integers, the results are loaded low, and the MSB is a sign extension of the seventh bit. If
this value were loaded into the accumulator, we could store the results back to memory in a
variety of ways:
•
Store both low and high accumulator values back to memory. This offers maximum
detail, but has the same problems as with integer multiply.
•
Store only the high (or low) accumulator back to memory. This creates a potential for
a memory littered with varying Q-types.
•
Store the upper accumulator shifted to the left by 1. This would store values back to
memory in the same Q format as the input values, and with equal precision to the
inputs. How shall the left shift be performed? Here’s three methods:
−
Explicit shift
−
Shift on store
−
Use Product Mode shifter
Correcting Redundant Sign Bit
Correcting Redundant Sign Bit
Correcting Redundant Sign Bit
Correcting Redundant Sign Bit
Correcting Redundant Sign Bit
IQmath
IQmath
: automatically handled
: automatically handled
(next topic)
(next topic)
Q math in “C”, shift in software:
Q math in “C”, shift in software:
int
int
x,y,z;
x,y,z;
z = ((long)x * (long)y) >> 15;
z = ((long)x * (long)y) >> 15;
Accumulator
Accumulator
1 1 1 1 0 1 0 0
1 1
1 1
1 1 0 1 0 0
1 1 0 1 0 0
Redundant
Redundant
Sign Bit
Sign Bit
8 - 10
C28x - Numerical Concepts & IQmath
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 ...