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Opérations matricielles en virgule fixe dans Simulink
R2025bSolveurs de matrices et blocs de décomposition de matrices en virgule fixe optimisés et basés sur CORDIC pour un code HDL efficace
Utilisez la bibliothèque de blocs Fixed-Point Designer™ optimisée HDL pour effectuer des opérations matricielles en virgule fixe basées sur CORDIC et générer un code HDL efficace. Ces blocs modélisent des design patterns pour les systèmes d’équations linéaires et effectuent les principales opérations matricielles, comme les décompositions QR et en valeurs singulières, pour une implémentation hardware efficace sur des FPGA. Pour choisir un bloc approprié pour votre application, consultez Choose a Block for HDL-Optimized Fixed-Point Matrix Operations. Utilisez les fonctions Fixed-Point Designer incluses pour déterminer de manière analytique les types de données à virgule fixe optimaux, pour les blocs de solveur de système linéaire et de factorisation de matrice. Générez du code HDL pour les designs qui intègrent ces blocs en utilisant HDL Coder™.
Pour les implémentations basées sur MATLAB® de ces algorithmes, consultez Opérations matricielles en virgule fixe dans MATLAB. Pour les implémentations basées sur CORDIC ou autre d’opérations mathématiques et optimisées pour les dispositifs embarqués dans MATLAB et Simulink®, consultez Opérations mathématiques en virgule fixe dans MATLAB et Simulink.
Blocs
Résoudre AX = B
 | Real Burst Matrix Solve Using QR Decomposition | Compute the value of x in the equation Ax = B for real-valued matrices using QR decomposition |
 | Complex Burst Matrix Solve Using QR Decomposition | Compute the value of x in the equation Ax = B for complex-valued matrices using QR decomposition |
 | Real Partial-Systolic Matrix Solve Using QR Decomposition | Compute value of x in the equation Ax = B for real-valued matrices using QR decomposition |
 | Complex Partial-Systolic Matrix Solve Using QR Decomposition | Compute value of x in the equation Ax = B for complex-valued matrices using QR decomposition |
 | Systolic Matrix Solve Using QR Decomposition | Compute value of X in the equation AX = B using QR decomposition (depuis R2024a) |
Résoudre A'AX = B
 | Real Burst Matrix Solve Using Q-less QR Decomposition | Compute the value of X in the equation A'AX = B for real-valued matrices using Q-less QR decomposition |
 | Complex Burst Matrix Solve Using Q-less QR Decomposition | Compute the value of X in the equation A'AX = B for complex-valued matrices using Q-less QR decomposition |
 | Real Burst Asynchronous Matrix Solve Using Q-less QR Decomposition | Compute the value of X in the equation A'AX = B for real-valued matrices using asynchronous Q-less QR decomposition (depuis R2022b) |
 | Complex Burst Asynchronous Matrix Solve Using Q-less QR Decomposition | Compute the value of X in the equation A'AX = B for complex-valued matrices using asynchronous Q-less QR decomposition (depuis R2022b) |
 | Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition | Compute value of X in the equation A'AX = B for real-valued matrices using Q-less QR decomposition |
 | Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition | Compute the value of X in the equation A'AX = B for complex-valued matrices using Q-less QR decomposition |
Résoudre A'AX = B avec une matrice A infiniment grande
 | Real Burst Matrix Solve Using Q-less QR Decomposition with Forgetting Factor | Compute the value of X in the equation A'AX = B for real-valued matrices with infinite number of rows using asynchronous Q-less QR decomposition (depuis R2022b) |
 | Complex Burst Matrix Solve Using Q-less QR Decomposition with Forgetting Factor | Compute the value of X in the equation A'AX = B for complex-valued matrices with infinite number of rows using asynchronous Q-less QR decomposition (depuis R2022b) |
 | Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Forgetting Factor | Compute value of X in the equation A'AX = B for real-valued matrices with infinite number of rows using Q-less QR decomposition |
 | Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Forgetting Factor | Compute the value of X in the equation A'AX = B for complex-valued matrices with infinite number of rows using Q-less QR decomposition |
Décomposition QR
 | Real Burst QR Decomposition | QR decomposition for real-valued matrices |
 | Complex Burst QR Decomposition | QR decomposition for complex-valued matrices |
 | Real Partial-Systolic QR Decomposition | QR decomposition for real-valued matrices |
 | Complex Partial-Systolic QR Decomposition | QR decomposition for complex-valued matrices |
 | Systolic QR Decomposition | QR decomposition for matrices (depuis R2024a) |
Décomposition QR sans Q
 | Real Burst Q-less QR Decomposition | Q-less QR decomposition for real-valued matrices |
 | Complex Burst Q-less QR Decomposition | Q-less QR decomposition for complex-valued matrices |
 | Real Burst Q-less QR Decomposition Whole R Output | Q-less QR decomposition for real-valued matrices (depuis R2022b) |
 | Complex Burst Q-less QR Decomposition Whole R Output | Q-less QR decomposition for complex-valued matrices (depuis R2022b) |
 | Real Partial-Systolic Q-less QR Decomposition | Q-less QR decomposition for real-valued matrices |
 | Complex Partial-Systolic Q-less QR Decomposition | Q-less QR decomposition for complex-valued matrices |
Décomposition QR sans QR avec facteur d'oubli
 | Real Burst Q-less QR Decomposition with Forgetting Factor Whole R Output | Q-less QR decomposition for real-valued matrices with infinite number of rows (depuis R2022b) |
 | Complex Burst Q-less QR Decomposition with Forgetting Factor Whole R Output | Q-less QR decomposition for complex-valued matrices with infinite number of rows (depuis R2022b) |
 | Real Partial-Systolic Q-less QR Decomposition with Forgetting Factor | Q-less QR decomposition for real-valued matrices with infinite number of rows |
 | Complex Partial-Systolic Q-less QR Decomposition with Forgetting Factor | Q-less QR decomposition for complex-valued matrices with infinite number of rows |
Décomposition en valeurs singulières
 | Square Jacobi SVD HDL Optimized | Fixed-point singular value decomposition (depuis R2023a) |
 | Non-Square Jacobi SVD HDL Optimized | Fixed-point singular value decomposition (depuis R2023b) |
Fonctions
Outils
Rubriques
Généralités
- Choose a Block for HDL-Optimized Fixed-Point Matrix Operations
How to choose a block from the Fixed-Point Designer HDL Support library.
Solveurs de systèmes linéaires : Résoudre AX = B
- Implement Hardware-Efficient Real Burst Matrix Solve Using QR Decomposition
How to use the Real Burst Matrix Solve Using QR Decomposition block. - Implement Hardware-Efficient Real Burst Matrix Solve Using QR Decomposition with Tikhonov Regularization
This example shows how to use the Real Burst Matrix Solve Using QR Decomposition block to solve the regularized least-squares matrix equation - Implement Hardware-Efficient Complex Burst Matrix Solve Using QR Decomposition
How to use the Complex Burst Matrix Solve Using QR Decomposition block. - Implement Hardware-Efficient Complex Burst Matrix Solve Using QR Decomposition with Tikhonov Regularization
This example shows how to use the Complex Burst Matrix Solve Using QR Decomposition block to solve the regularized least-squares matrix equation - Implement Hardware-Efficient Real Partial-Systolic Matrix Solve Using QR Decomposition
How to use the Real Partial-Systolic Matrix Solve Using QR Decomposition block. - Implement Hardware-Efficient Real Partial-Systolic Matrix Solve Using QR Decomposition with Diagonal Loading
How to use the Real Partial-Systolic Matrix Solve Using QR Decomposition Block with diagonal loading. - Implement Hardware-Efficient Real Partial-Systolic Matrix Solve Using QR Decomposition with Tikhonov Regularization
This example shows how to use the Real Partial-Systolic Matrix Solve Using QR Decomposition block to solve the regularized least-squares matrix equation - Implement Hardware-Efficient Complex Partial-Systolic Matrix Solve Using QR Decomposition
How to use the Complex Partial-Systolic Matrix Solve Using QR Decomposition block. - Implement Hardware-Efficient Complex Partial-Systolic Matrix Solve Using QR Decomposition with Diagonal Loading
How to use the Complex Partial-Systolic Matrix Solve Using QR Decomposition Block with diagonal loading. - Implement Hardware-Efficient Complex Partial-Systolic Matrix Solve Using QR Decomposition with Tikhonov Regularization
This example shows how to use the Complex Partial-Systolic Matrix Solve Using QR Decomposition block to solve the regularized least-squares matrix equation - Use Hardware-Efficient Algorithm to Solve Systems of Complex-Valued Linear Equations
Solve a system of complex-valued linear equations using hardware-efficient code.
Solveurs de systèmes linéaires : Résoudre A'AX = B
- Implement Hardware-Efficient Real Burst Matrix Solve Using Q-less QR Decomposition
How to use the Real Burst Matrix Solve Using Q-less QR Decomposition block. - Implement Hardware-Efficient Real Burst Matrix Solve Using Q-less QR Decomposition with Tikhonov Regularization
This example shows how to use the Real Burst Matrix Solve Using QR Decomposition block to solve the regularized least-squares matrix equation - Implement Hardware-Efficient Complex Burst Matrix Solve Using Q-less QR Decomposition
How to use the Complex Burst Matrix Solve Using Q-less QR Decomposition block. - Implement Hardware-Efficient Complex Burst Matrix Solve Using Q-less QR Decomposition with Tikhonov Regularization
This example shows how to use the Complex Burst Matrix Solve Using QR Decomposition block to solve the regularized least-squares matrix equation - Implement Hardware-Efficient Real Burst Asynchronous Matrix Solve Using Q-less QR Decomposition
This example shows how to implement a hardware-efficient solution to the real-valued matrix equation A'AX=B using the Real Burst Asynchronous Matrix Solve Using Q-less QR Decomposition block. - Implement Hardware-Efficient Complex Burst Asynchronous Matrix Solve Using Q-less QR Decomposition
This example shows how to implement a hardware-efficient solution to the complex-valued matrix equation A'AX=B using the Complex Burst Asynchronous Matrix Solve Using Q-less QR Decomposition block. - Implement Hardware-Efficient Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition
How to use the Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition block. - Implement Hardware-Efficient Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Tikhonov Regularization
This example shows how to use the Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition block to solve the regularized least-squares matrix equation - Implement Hardware-Efficient Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition
How to use the Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition block. - Implement Hardware-Efficient Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Tikhonov Regularization
This example shows how to use the Complex Partial-Systolic Matrix Solve Using QR Decomposition block to solve the regularized least-squares matrix equation
Solveurs de systèmes linéaires : Résoudre A'AX = B avec une matrice A infiniment grande
- Implement Hardware-Efficient Real Burst Matrix Solve Using Q-less QR Decomposition with Forgetting Factor
This example shows how to use the hardware-efficient Real Burst Matrix Solve Using Q-less QR Decomposition with Forgetting Factor block. - Implement Hardware-Efficient Complex Burst Matrix Solve Using Q-less QR Decomposition with Forgetting Factor
This example shows how to use the hardware-efficient Complex Burst Matrix Solve Using Q-less QR Decomposition with Forgetting Factor block. - Implement Hardware-Efficient Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Forgetting Factor
How to use the Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Forgetting Factor block. - Implement Hardware-Efficient Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Forgetting Factor
How to use the Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Forgetting Factor block.
Factorisations matricielles : Décomposition QR
- Implement Hardware-Efficient Real Burst QR Decomposition
How to use the Real Burst QR Decomposition block. - Implement Hardware-Efficient Complex Burst QR Decomposition
How to use the Complex Burst QR Decomposition block. - Implement Hardware-Efficient Real Partial-Systolic QR Decomposition
How to use the Real Partial-Systolic QR Decomposition block. - Implement Hardware-Efficient Complex Partial-Systolic QR Decomposition
How to use the Complex Partial-Systolic QR Decomposition block. - Implement Hardware-Efficient QR Decomposition Using CORDIC in a Systolic Array
Implement Hardware-Efficient QR Decomposition Using CORDIC in a Systolic Array.
Factorisations matricielles : Décomposition QR sans Q
- Implement Hardware-Efficient Real Burst Q-less QR Decomposition
How to use the Real Burst Q-less QR Decomposition block. - Implement Hardware-Efficient Complex Burst Q-less QR Decomposition
How to use the Complex Burst Q-less QR Decomposition block. - Implement Hardware-Efficient Real Partial-Systolic Q-less QR Decomposition
How to use the Real Partial-Systolic Q-less QR Decomposition block. - Implement Hardware-Efficient Complex Partial-Systolic Q-less QR Decomposition
How to use the Complex Partial-Systolic Q-less QR Decomposition block.
Factorisations matricielles : Décomposition QR sans QR avec facteur d'oubli
- Implement Hardware-Efficient Real Burst Q-less QR with Forgetting Factor
This example shows how to use the hardware-efficient Real Burst Q-less QR Decomposition with Forgetting Factor Whole R Output block. - Implement Hardware-Efficient Complex Burst Q-less QR with Forgetting Factor
This example shows how to use the hardware-efficient Complex Burst Q-less QR Decomposition with Forgetting Factor Whole R Output block. - Implement Hardware-Efficient Real Partial-Systolic Q-less QR with Forgetting Factor
How to use the Real Partial-Systolic Q-less QR Decomposition with Forgetting Factor block. - Implement Hardware-Efficient Complex Partial-Systolic Q-less QR with Forgetting Factor
How to use the Complex Partial-Systolic Q-less QR Decomposition with Forgetting Factor block.
Factorisations matricielles : Décomposition en valeurs singulières
- Implement HDL Optimized SVD in Feedforward Fashion Without Backpressure
This example shows how to implement a hardware-efficient singular value decomposition (SVD) using the Square Jacobi SVD HDL Optimized block in a feedforward fashion without backpressure. - Implement HDL Optimized SVD with Backpressure Signal and HDL FIFO Block
This example shows how to implement hardware-efficient singular value decomposition (SVD) using the Square Jacobi SVD HDL Optimized block with backpressure control and an HDL FIFO block. - Implement HDL Optimized SVD for Non-Square Matrix with Scalar Input and Simplified AXI4 Protocol
This example shows how to use the Non-Square Jacobi SVD HDL Optimized block to compute the singular value decomposition (SVD) of non-square matrices. - Compute SVD of Non-Square Matrices Using Square Jacobi SVD HDL Optimized Block by Forming Covariance Matrices
This example shows how to use the Square Jacobi SVD HDL Optimized block to compute the singular value decomposition (SVD) of non-square matrices by forming covariance matrices.
Détermination analytique des types de données à virgule fixe pour les solveurs de systèmes linéaires et les factorisations de matrices
- 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
Usefixed.realQRMatrixSolveFixedpointTypesto 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 thefixed.realQRMatrixSolveFixedpointTypesfunction to analytically determine fixed-point types for the solution of the real 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
Usefixed.complexQRFixedpointTypesto 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 thefixed.complexQRMatrixSolveFixedpointTypesfunction 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
Usefixed.realQlessQRFixedpointTypesto 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 thefixed.realQlessQRMatrixSolveFixedpointTypesfunction to analytically determine fixed-point types for the solution of the real least-squares matrix equation - 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
Usefixed.complexQlessQRFixedpointTypesto 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 thefixed.complexQlessQRMatrixSolveFixedpointTypesfunction to analytically determine fixed-point types for the solution of the complex least-squares matrix equation - Determine Fixed-Point Types for QR Decomposition
Usefixed.qrFixedpointTypesto determine fixed-point types for computation of QR decomposition. - Determine Fixed-Point Types for Q-less QR Decomposition
Usefixed.qlessqrFixedpointTypesto determine fixed-point types for computation of Q-less QR decomposition. - Estimate Standard Deviation of Quantization Noise of Real-Valued Signal
Usefixed.realQuantizationNoiseStandardDeviationto estimate standard deviation of quantization noise. - Estimate Standard Deviation of Quantization Noise of Complex-Valued Signal
Usefixed.complexQuantizationNoiseStandardDeviationto estimate standard deviation of quantization noise. - Compute Forgetting Factor Required for Streaming Input Data
Usefixed.forgettingFactorandfixed.forgettingFactorInverseto compute forgetting factor.
Sélection d՚exemples
Fixed-Point HDL-Optimized Minimum-Variance Distortionless-Response (MVDR) Beamformer
Implement a hardware-efficient MVDR beamformer.
Implement Hardware-Efficient QR Decomposition Using CORDIC in a Systolic Array
Implement Hardware-Efficient QR Decomposition Using CORDIC in a Systolic Array.
Use Hardware-Efficient Algorithm to Solve Systems of Complex-Valued Linear Equations
Solve a system of complex-valued linear equations using hardware-efficient code.
