MATLAB 和 Simulink 中的定点数学运算
R2026bFixed-Point Designer™ 模块库使用 CORDIC 等算法提供常见数学和矩阵运算的硬件高效实现。使用 HDL Coder™ 为包含这些模块的设计生成 HDL 代码。Fixed-Point Designer 函数库包括基于 CORDIC 和其他硬件高效的数学运算实现，如除法、指数运算和三角函数。使用代码生成器为包含这些函数的设计生成 C/C++ 代码。
基于 CORDIC（坐标旋转数字计算方法）的算法是硬件效率最高的算法之一，因为它们只需进行迭代移位相加运算。CORDIC 算法不需要显式乘数，它适合计算各种函数。
有关 MATLAB® 和 Simulink® 中矩阵运算（包括线性系统求解器和矩阵分解）的基于 CORDIC 的实现，请参阅MATLAB 中的定点矩阵运算和Simulink 中的定点矩阵运算。
函数
模块
 | CORDIC Sigmoid HDL Optimized | 计算基于 CORDIC 的 sigmoid 激活并生成优化的 HDL 代码 (自 R2024a 起) |
 | Complex Divide HDL Optimized | Divide one input by another using CORDIC algorithm and generate optimized HDL code |
 | Real Divide HDL Optimized | Divide one real input by another using CORDIC algorithm and generate optimized HDL code |
 | Divide by Constant HDL Optimized | 将输入除以常量并舍入到整数并生成优化的 HDL 代码 |
 | Divide by Constant and Round | 将输入除以常量并舍入到整数 |
 | Modulo by Constant HDL Optimized | Perform mod operation with a constant denominator and generate optimized HDL code |
 | Modulo by Constant | 用常量分母执行取模运算 |
 | Normalized Reciprocal HDL Optimized | Computes normalized reciprocal using CORDIC algorithm and generates optimized HDL code |
 | Real Reciprocal HDL Optimized | Compute reciprocal and generate optimized HDL code |
 | Real Reciprocal Square Root HDL Optimized | Compute reciprocal of square root of real input and generate optimized HDL code (自 R2026b 起) |
 | CORDIC Square Root HDL Optimized | CORDIC-based approximation of square root (自 R2024a 起) |
 | Complex to Magnitude-Angle | Compute magnitude and phase angle of complex signal using CORDIC algorithm |
 | Magnitude-Angle to Complex | 将幅值和/或相位角信号转换为复信号 |
 | Exp HDL Optimized | Compute base-e exponential of input (自 R2026b 起) |
 | Log10 HDL Optimized | Compute base-10 logarithm of input (自 R2026b 起) |
 | Log2 HDL Optimized | Compute base-2 logarithm of input (自 R2026b 起) |
 | Logarithm HDL Optimized | Compute arbitrary-base logarithm of input (自 R2026b 起) |
 | Natural Logarithm HDL Optimized | Compute natural (base-e) logarithm of input (自 R2026b 起) |
 | Pow10 HDL Optimized | Compute base-10 exponential of input (自 R2026b 起) |
 | Pow2 HDL Optimized | Compute base-2 exponential of input (自 R2026b 起) |
 | Power HDL Optimized | Compute arbitrary-base exponential of input (自 R2026b 起) |
 | Hyperbolic Tangent HDL Optimized | 计算基于 CORDIC 的双曲正切并生成优化的 HDL 代码 |
 | Trigonometric Function | 指定应用于输入信号的三角函数 |
 | Euler to NED Transformation HDL Optimized | Computes Euler to North-East-Down transformation using pipelined or burst architecture and generates optimized HDL code (自 R2022b 起) |
 | Extract MSB | Extract most significant bit (MSB) of input (自 R2026b 起) |
主题
- How to Set CORDIC Input Word Length and Maximum Shift Value to Achieve Desired Precision
This example provides a starting point for the input data type and number of iterations or maximum shift value required for the CORDIC algorithm to achieve a desired accuracy.
- Implement Hardware-Efficient Complex Divide HDL Optimized
How to use the Complex Divide HDL Optimized block.
- Implement Hardware-Efficient Real Divide HDL Optimized
How to use the Real Divide HDL Optimized block.
- Customize Output Value of Real Divide HDL Optimized Block When Denominator Is Zero
Use the divideByZero port to customize the value of the block output when division by zero occurs. (自 R2024b 起)
- Implement HDL Optimized Modulo by Constant
How to use the Modulo by Constant HDL Optimized block.
- How to Use HDL Optimized Normalized Reciprocal
This example shows how and when to use the
normalizedReciprocalfunction and the Normalized Reciprocal HDL Optimized block to compute the normalized reciprocal of an input. - Data Type Agent for Reciprocal HDL Optimized Blocks
Use the Data Type Agent to explore tradeoffs of algorithm, datatype, and latency for Reciprocal HDL Optimized blocks. (自 R2026b 起)
- Implement Hardware-Efficient Hyperbolic Tangent
Implement a hardware-efficient hyperbolic tangent.
- Hardware-Efficient Rotation About Arbitrary Axis Using CORDIC
This example shows how to implement rotation about an arbitrary axis using the CORDIC algorithm in Simulink®.
- Hardware-Efficient Euler Rotations Using CORDIC
This example shows how to implement Euler rotations using a CORDIC kernel.
- Hardware-Efficient Rotation About Arbitrary Axis Using CORDIC
This example shows how to implement rotation about an arbitrary axis using the CORDIC algorithm in Simulink®.
精选示例
使用 CORDIC 计算平方根
此示例说明如何在 MATLAB 中使用 CORDIC 核算法计算平方根。
Digital Waveform Generation: Approximate a Sine Wave
Design and evaluate a sine wave data table for use in digital waveform synthesis applications in embedded systems and arbitrary waveform generation instruments.
Implement HDL-Optimized CORDIC-Based Square Root for Positive Real Numbers
Implement HDL-optimized CORDIC-based square root for positive real numbers.
