Festkomma-Matrix-Operationen in Simulink
Optimierte CORDIC-basierte Festkomma-Matrixlöser und Matrixzerlegungsblöcke für effizienten HDL-Code
Verwenden Sie die HDL-optimierte Blockbibliothek in Fixed-Point Designer™, um CORDIC-basierte Festkomma-Matrixoperationen durchzuführen und effizienten HDL-Code zu generieren. Diese Blöcke modellieren Designmuster für lineare Gleichungssysteme und führen Kernmatrixoperationen wie QR-Zerlegung und Singulärwertzerlegung für eine hardwaresparende Implementierung auf FPGAs durch. Hilfe bei der Auswahl eines geeigneten Blocks für Ihre Anwendung finden Sie unter Choose a Block for HDL-Optimized Fixed-Point Matrix Operations. Verwenden Sie die enthaltenen Fixed-Point Designer-Funktionen, um analytisch optimale Festkomma-Datentypen für den linearen Systemlöser und die Matrixfaktorisierungsblöcke zu bestimmen. Mithilfe von HDL Coder™ können Sie HDL-Code für Entwürfe generieren, die diese Blöcke umfassen.
Für MATLAB®-basierte Implementierungen dieser Algorithmen siehe Festkomma-Matrix-Operationen in MATLAB. Für CORDIC-basierte und andere eingebettete effiziente Implementierungen von mathematischen Operationen in MATLAB und Simulink® siehe Festkomma-Rechenoperationen in MATLAB und Simulink.
Blöcke
Funktionen
Tools
| Data Type Agent | Recommends fixed-point data types for Fixed-Point Designer blocks (Seit R2025a) |
Themen
Allgemein
- Choose a Block for HDL-Optimized Fixed-Point Matrix Operations
How to choose a block from the Fixed-Point Designer HDL Support library.
Solver für lineare Systeme: Solve 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.
Solver für lineare Systeme: Solve 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
Solver für lineare Systeme: Solve A'AX = B mit unendlich hoher A-Matrix
- 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.
Matrix-Faktorisierungen: QR-Zerlegung
- 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.
Matrix-Faktorisierungen: Q-lose QR-Zerlegung
- 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.
Matrix-Faktorisierungen: Q-lose QR-Zerlegung mit Vergessensfaktor
- 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.
Matrix-Faktorisierungen: Einzelwert-Zerlegung
- 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.
Analytisches Ermitteln von Festkomma-Datentypen für Solver für lineare Systeme und Matrix-Faktorisierungen
- 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.
Enthaltene Beispiele
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.
