MATLAB 中的定点矩阵运算

进行了优化的定点数学运算、矩阵求解器和矩阵分解函数，用于实现高效代码

使用这些函数来执行定点数学和矩阵运算，并生成高效代码。这些函数求解线性方程组，并以对嵌入式设备高效的方式执行矩阵分解。

函数

数学运算

`ceilDiv`	Round the result of division toward positive infinity
`fixed.cordicDivide`	Fixed-point divide using CORDIC
`fixed.cordicReciprocal`	Fixed-point reciprocal using CORDIC
`fixDiv`	Round the result of division toward zero
`floorDiv`	Round the result of division toward negative infinity
`nearestDiv`	Round the result of division toward the nearest integer
`modByConstant`	Modulus after division by a constant denominator

线性方程组求解器和矩阵分解

`fixed.backwardSubstitute`	Solve upper-triangular system of equations through backward substitution
`fixed.forwardSubstitute`	通过前代求解下三角方程组
`fixed.qlessQR`	Q-less QR decomposition
`fixed.qlessQRUpdate`	Update QR factorization
`fixed.qrAB`	Compute C = Q'B and upper-triangular factor R
`fixed.qrMatrixSolve`	Solve system of linear equations Ax = B for x using QR decomposition
`fixed.qlessQRMatrixSolve`	Solve system of linear equations (A'A)X = B for X using Q-less QR decomposition
`fixed.svd`	Fixed-point Golub-Kahan-Reinsch singular value decomposition
`svd`	Fixed-point Golub-Kahan-Reinsch singular value decomposition

以解析方式确定线性方程组求解器和矩阵分解的定点数据类型

`fixed.qrFixedpointTypes`	Determine fixed-point types for transforming A and R and B to C=Q'B in-place, where QR=A is QR decomposition of A
`fixed.qlessqrFixedpointTypes`	Determine fixed-point types for transforming A to R in-place, where R is upper-triangular factor of QR decomposition of A, without computing Q
`fixed.realQRMatrixSolveFixedpointTypes`	Determine fixed-point types for matrix solution of real-valued AX=B using QR decomposition
`fixed.complexQRMatrixSolveFixedpointTypes`	Determine fixed-point types for matrix solution of complex-valued AX=B using QR decomposition
`fixed.realQlessQRMatrixSolveFixedpointTypes`	Determine fixed-point types for matrix solution of real-valued A'AX=B using QR decomposition
`fixed.complexQlessQRMatrixSolveFixedpointTypes`	Determine fixed-point types for matrix solution of complex-valued A'AX=B using QR decomposition
`fixed.realSingularValueLowerBound`	Estimate lower bound for smallest singular value of real-valued matrix
`fixed.complexSingularValueLowerBound`	Estimate lower bound for smallest singular value of complex-valued matrix
`fixed.singularValueUpperBound`	Upper bound of largest singular value of matrix
`fixed.realConditionNumberUpperBound`	Estimate of upper bound for 2-norm condition number of real-valued matrix
`fixed.complexConditionNumberUpperBound`	Estimate of upper bound for 2-norm condition number of complex-valued matrix
`fixed.forgettingFactor`	Compute forgetting factor required for streaming input data
`fixed.forgettingFactorInverse`	Compute the inverse of the forgetting factor required for streaming input data
`fixed.realQuantizationNoiseStandardDeviation`	Estimate standard deviation of quantization noise of real-valued signal
`fixed.complexQuantizationNoiseStandardDeviation`	Estimate standard deviation of quantization noise of complex-valued signal

主题

Determine Fixed-Point Types for QR Decomposition
Use fixed.qrFixedpointTypes to determine fixed-point types for computation of QR decomposition.
Determine Fixed-Point Types for Q-less QR Decomposition
Use fixed.qlessqrFixedpointTypes to determine fixed-point types for computation of Q-less QR decomposition.
Algorithms to Determine Fixed-Point Types for Complex Q-less QR Matrix Solve A'AX=B
Derivation of algorithms for determining fixed-point types for complex Q-less QR matrix solve.
Determine Fixed-Point Types for Complex Q-less QR Matrix Solve A'AX=B
Use fixed.complexQlessQRFixedpointTypes to determine fixed-point types for computation of the complex least-squares matrix equation.
Determine Fixed-Point Types for Complex Q-less QR Matrix Solve with Tikhonov Regularization
This example shows how to use the fixed.complexQlessQRMatrixSolveFixedpointTypes function to analytically determine fixed-point types for the solution of the complex least-squares matrix equation
Algorithms to Determine Fixed-Point Types for Complex Least-Squares Matrix Solve AX=B
Derivation of algorithms for determining fixed-point types for complex QR matrix solve.
Determine Fixed-Point Types for Complex Least-Squares Matrix Solve AX=B
Use fixed.complexQRFixedpointTypes to determine fixed-point types for computation of the complex least-squares matrix equation.
Determine Fixed-Point Types for Complex Least-Squares Matrix Solve with Tikhonov Regularization
This example shows how to use the fixed.complexQRMatrixSolveFixedpointTypes function to analytically determine fixed-point types for the solution of the complex least-squares matrix equation
Algorithms to Determine Fixed-Point Types for Real Q-less QR Matrix Solve A'AX=B
Derivation of algorithms for determining fixed-point types for real Q-less QR matrix solve.
Determine Fixed-Point Types for Real Q-less QR Matrix Solve A'AX=B
Use fixed.realQlessQRFixedpointTypes to determine fixed-point types for computation of the real least-squares matrix equation.
Determine Fixed-Point Types for Real Q-less QR Matrix Solve with Tikhonov Regularization
This example shows how to use the fixed.realQlessQRMatrixSolveFixedpointTypes function to analytically determine fixed-point types for the solution of the real least-squares matrix equation
Algorithms to Determine Fixed-Point Types for Real Least-Squares Matrix Solve AX=B
Derivation of algorithms for determining fixed-point types for real least-squares matrix solve.
Determine Fixed-Point Types for Real Least-Squares Matrix Solve AX=B
Use fixed.realQRMatrixSolveFixedpointTypes to determine fixed-point types for computation of the real least-squares matrix equation.
Determine Fixed-Point Types for Real Least-Squares Matrix Solve with Tikhonov Regularization
This example shows how to use the fixed.realQRMatrixSolveFixedpointTypes function to analytically determine fixed-point types for the solution of the real least-squares matrix equation
Compute Forgetting Factor Required for Streaming Input Data
Use fixed.forgettingFactor and fixed.forgettingFactorInverse to compute forgetting factor.
Estimate Standard Deviation of Quantization Noise of Complex-Valued Signal
Use fixed.complexQuantizationNoiseStandardDeviation to estimate standard deviation of quantization noise.
Estimate Standard Deviation of Quantization Noise of Real-Valued Signal
Use fixed.realQuantizationNoiseStandardDeviation to estimate standard deviation of quantization noise.

MATLAB 中的定点矩阵运算

函数

数学运算

线性方程组求解器和矩阵分解

以解析方式确定线性方程组求解器和矩阵分解的定点数据类型

主题

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