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Operaciones con matrices de punto fijo en MATLAB

R2024b

Optimización de operaciones matemáticas de punto fijo, solvers de matrices y funciones de descomposición de matrices para un código eficiente

Utilice estas funciones para realizar operaciones matemáticas y con matrices de punto fijo y generar código eficiente. Estas funciones resuelven sistemas de ecuaciones lineales y realizan descomposiciones de matrices de forma eficiente para los dispositivos embebidos.

Funciones

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Operaciones matemáticas

`ceilDiv`	Round the result of division toward positive infinity
`fixed.cordicDivide`	CORDIC-based fixed-point divide
`fixed.cordicReciprocal`	CORDIC-based fixed-point reciprocal
`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

Solvers de sistemas lineales y factorización de matrices

`fixed.backwardSubstitute`	Solve upper-triangular system of equations through backward substitution
`fixed.forwardSubstitute`	Solve lower-triangular system of equations through forward substitution
`fixed.jacobiSVD`	Fixed-point Jacobi singular value decomposition (Desde R2023a)
`fixed.qlessQR`	Q-less QR decomposition
`fixed.qlessQRUpdate`	Update Q-less 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 (Desde R2022b)
`svd`	Fixed-point Golub-Kahan-Reinsch singular value decomposition (Desde R2022b)

Determinar analíticamente tipos de datos de punto fijo para solvers de sistemas lineales y factorizaciones de matrices

`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 (Desde R2022b)
`fixed.realConditionNumberUpperBound`	Estimate of upper bound for 2-norm condition number of real-valued matrix (Desde R2022b)
`fixed.complexConditionNumberUpperBound`	Estimate of upper bound for 2-norm condition number of complex-valued matrix (Desde R2022b)
`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

Temas

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.