FixedPoint Design in MATLAB and Simulink


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1 FixedPoint Design in MATLAB and Simulink Gaurav Dubey Senior Team Lead  Pilot Engineering 2013 The MathWorks, Inc. 1
2 What are you looking for? How can I convert an algorithm from floatingpoint to fixedpoint representation? How can I comparing the floatingpoint and fixedpoint simulation results How can I generate fixedpoint C and HDL code for embedded implementations I don t know how to convert a floating point model/ code to a fixedpoint model/ code? I hope to maintain one algorithm file for all kind of data type, is this possible? 2
3 FixedPoint Concepts What is fixedpoint? Fixedpoint targets Design Challenges Introducing FixedPoint Designer FixedPoint Designer tools FloatingPoint to FixedPoint Conversion Workflows Using the FixedPoint Tool in Simulink Using the FixedPoint Conversion Tool in MATLAB Code Generation from fixedpoint design C and HDL 3
4 FixedPoint Concepts What is fixedpoint? Fixedpoint targets Design Challenges Introducing FixedPoint Designer FixedPoint Designer tools FloatingPoint to FixedPoint Conversion Workflows Using the FixedPoint Tool in Simulink Using the FixedPoint Conversion Tool in MATLAB Code Generation from fixedpoint design C and HDL 4
5 What is fixedpoint? Floatingpoint: Sign bit Exponent width (determines range) Mantissa / Fraction bits (determines precision) Floating radix / decimal point Same word size, we can increase both precision and range IEEE 754 singleprecision binary floatingpoint format: binary32* Fixedpoint: Sign bit Whole number part (determines range) Fractional part (determines precision) Fixed radix / decimal point Fixed size, tradeoff between precision and range *Picture from 5
6 FixedPoint Targets FixedPoint DSPs (TI, Analog Devices, etc.) Fixed word lengths Less expensive Use less power  good for battery powered applications Higher clock speeds FPGAs (Xilinx, Altera, etc.) Designer can select word lengths Every bit increased word length  more silicon area and increased power usage 6
7 Fixed Point Tradeoffs Consideration Floating Point Fixed Point Fixed Point with MathWorks Tools RAM and ROM Consumption Execution Speed Hardware power consumption Embedded Hardware Cost Development time Implementation complexity Error Prone 7
8 Example: FixedPoint C hand implementation void differentialeq( void ) { /* Implements a fixed point first order difference equation */ int Prod; long Accum; static short lastval=0; short a=0x7eb8; // 0.99 in s16,15 short oneminusa=0x0148; //.01 in s16,15 short temp; Convert variables to integer types Need lots of comments to understand code Prod = galg_in1 * galg_in1; temp = Prod >> 15; Accum = a*lastval + oneminusa*temp; Keep track of binary point location galg_out1 = (short)(accum >> 15); lastval = galg_out1; } No saturation or rounding 8
9 FixedPoint Concepts What is fixedpoint? Fixedpoint targets Design Challenges Introducing FixedPoint Designer FixedPoint Designer tools FloatingPoint to FixedPoint Conversion Workflows Using the FixedPoint Tool in Simulink Using the FixedPoint Conversion Tool in MATLAB Code Generation from fixedpoint design C and HDL 9
10 Fixed Point ECU Development Process with ModelBased Design System Requirements Simulation System Design Rapid Prototyping HardwareintheLoop Testing ProcessorintheLoop Testing Vehicle Integration & Calibration Hardware/Software Integration Software Design Software Integration OnTarget Rapid Prototyping SoftwareintheLoop Testing Coding Production Code Generation Requirements Traceability Configuration Management Documentation 10
11 MATLAB / SIMULINK Algorithm Design FIXEDPOINT DESIGNER FixedPoint Conversion MATLAB CODER SIMULINK CODER EMBEDDED CODER HDL CODER Gen Gen C/C++ VHDL/Verilog FPGA MCU ASIC DSP FPGA ASIC 11
12 Tools for Converting a Design to Fixed Point FixedPoint Tool for Simulink Requires: Works on: FixedPoint Designer Simulink Simulink Blocks Stateflow Charts FixedPoint Conversion Tool for MATLAB Requires: Works on: FixedPoint Designer MATLAB Coder MATLAB Code Instrumented Code Generation Report for MATLAB Requires: Works on: FixedPoint Designer MATLAB Code MATLAB Function Blocks 12
13 FixedPoint Concepts What is fixedpoint? Fixedpoint targets Design Challenges Introducing FixedPoint Designer FixedPoint Designer tools FloatingPoint to FixedPoint Conversion Workflows Using the FixedPoint Tool in Simulink Using the FixedPoint Conversion Tool in MATLAB Code Generation from fixedpoint design C and HDL 13
14 Workflow using FixedPoint Tool in Simulink: 1. Prepare for FixedPoint Conversion 2. Collect Range Information 3. Propose Data types 4. Apply Data types 5. Compare Results 6. Generate Code 14
15 Workflow using FixedPoint Conversion Tool in MATLAB: Kalman Filter 1. Prepare for FixedPoint Conversion 2. Collect Range Information 3. Propose Data types 4. Generate Fixed Point MATLAB Code 5. Test Numerics 6. Generate Code 15
16 FixedPoint Concepts What is fixedpoint? Fixedpoint targets Design Challenges Introducing FixedPoint Designer FixedPoint Designer tools FloatingPoint to FixedPoint Conversion Workflows Using the FixedPoint Tool in Simulink Using the FixedPoint Conversion Tool in MATLAB Code Generation from fixedpoint design C and HDL 16
17 Code Generation Automatically generate readable, traceable HDL and C code Automatically generate C and HDL code from Simulink, MATLAB and Stateflow Full bidirectional traceability!! Requirements 17
18 Summary FixedPoint Designer Conversion Workflow MATLAB/Simulink MATLAB / SIMULINK Algorithm Design FIXEDPOINT DESIGNER FixedPoint Conversion MATLAB CODER Code generation C and HDL SIMULINK CODER EMBEDDED CODER Gen Gen HDL CODER Gen Gen C/C++ VHDL/Verilog FPGA MCU ASIC DSP FPGA ASIC 18
19 Fixed Point Conversion: Simulink FixedPoint Advisor The FixedPoint Advisor facilitates converting a floatingpoint model or subsystem into a fixedpoint representation. 19
20 Fixed Point Conversion: Simulink FixedPoint Tool The FixedPoint Tool is a graphical user interface that automates specifying fixedpoint data types in a model. 20
21 Fixed Point Conversion: Simulink Float to Fixed Conversion in FPA and FPT Integrated workflow to accomplish float to fixedpoint conversion of Simulink models in FPA and FPT Streamline workflow from modeling preparation in FPA and autoscaling in FPT Support floating, fixedpoint and mixed data type designs Emphasize design bestpractice to achieve production code generation design goals Integrated with features of word length selection, modelwide range analysis and multiple run management support in both FPA and FPT 21
22 Fixed Point Conversion: Simulink Output Comparison 22
23 Fixed Point Conversion: Simulink Code Generation 23
24 Fixed Point Conversion: MATLAB FixedPoint Converter 24
25 Fixed Point Conversion: MATLAB FixedPoint Converter 25
26 Fixed Point Conversion: MATLAB Output Comparison 26
27 Fixed Point Code Generation: MATLAB MATLAB Coder 27
28 28
Introducing FixedPoint Conversion from MATLAB and Simulink Cynthia Cudicini Senior Application Engineer
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