Fixed-Point Matrix Operations in Simulink

Optimized fixed-point math and matrix operations blocks for efficient HDL code

Use the Fixed-Point Designer™ library of blocks to perform fixed-point math and matrix operations and generate efficient HDL code. These blocks model design patterns for systems of linear equations and core matrix operations, such as QR Decomposition, for hardware-efficient implementation on FPGAs. Generate HDL code for designs that incorporate these blocks using HDL Coder™.

Blocks

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Hyperbolic Tangent HDL OptimizedComputes CORDIC-based hyperbolic tangent and generates optimized HDL code
Normalized Reciprocal HDL OptimizedComputes normalized reciprocal and generates optimized HDL code

Burst Implementation

Real Burst Matrix Solve Using QR DecompositionCompute the value of x in the equation Ax = B for real-valued matrices using QR decomposition
Real Burst Matrix Solve Using Q-less QR DecompositionCompute the value of X in the equation A'AX = B for real-valued matrices using Q-less QR decomposition
Complex Burst Matrix Solve Using QR DecompositionCompute the value of x in the equation Ax = B for complex-valued matrices using QR decomposition
Complex Burst Matrix Solve Using Q-less QR DecompositionCompute the value of X in the equation A'AX = B for complex-valued matrices using Q-less QR decomposition

Partial-Systolic Implementation

Real Partial-Systolic Matrix Solve Using QR DecompositionCompute value of x in Ax = B for real-valued matrices using QR decomposition
Real Partial-Systolic Matrix Solve Using Q-less QR DecompositionCompute value of X in A'AX = B for real-valued matrices using Q-less QR decomposition
Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Forgetting FactorCompute value of X in A'AX = B for real-valued matrices with infinite number of rows using Q-less QR decomposition
Complex Partial-Systolic Matrix Solve Using QR DecompositionCompute value of x in Ax = B for complex-valued matrices using QR decomposition
Complex Partial-Systolic Matrix Solve Using Q-less QR DecompositionCompute the value of X in A'AX = B for complex-valued matrices using Q-less QR decomposition
Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition with Forgetting FactorCompute the value of X in A'AX = B for complex-valued matrices with infinite number of rows using Q-less QR decomposition

Burst Implementation

Real Burst QR DecompositionQR decomposition for real-valued matrices
Real Burst Q-less QR DecompositionQ-less QR decomposition for real-valued matrices
Complex Burst QR DecompositionQR decomposition for complex-valued matrices
Complex Burst Q-less QR DecompositionQ-less QR decomposition for complex-valued matrices

Partial-Systolic Implementation

Real Partial-Systolic QR DecompositionQR decomposition for real-valued matrices
Real Partial-Systolic Q-less QR DecompositionQ-less QR decomposition for real-valued matrices
Real Partial-Systolic Q-less QR Decomposition with Forgetting FactorQ-less QR decomposition for real-valued matrices with infinite number of rows
Complex Partial-Systolic QR DecompositionQR decomposition for complex-valued matrices
Complex Partial-Systolic Q-less QR DecompositionQ-less QR decomposition for complex-valued matrices
Complex Partial-Systolic Q-less QR Decomposition with Forgetting FactorQ-less QR decomposition for complex-valued matrices with infinite number of rows

Featured Examples

Implement Hardware-Efficient QR Decomposition Using CORDIC in a Systolic Array

Implement Hardware-Efficient QR Decomposition Using CORDIC in a Systolic Array

Implement Hardware-Efficient QR Decomposition Using CORDIC in a Systolic Array.

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Implement Hardware-Efficient Burst QR Decomposition

Implement Hardware-Efficient Burst QR Decomposition

Demonstrates how to compute the QR decomposition of matrices using hardware-efficient MATLAB® code in Simulink®. This model shares computational resources across steps of the QR decomposition algorithm. It thus uses fewer on-chip resources than a fully pipelined approach, while sacrificing some total throughput.

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Implement Hardware-Efficient Complex Burst QR Decomposition

Implement Hardware-Efficient Complex Burst QR Decomposition

Demonstrates how to compute the QR decomposition of complex matrices using hardware-efficient MATLAB® code in Simulink®. This model shares computational resources across steps of the QR Decomposition algorithm. It thus uses fewer on chip resources than a fully pipelined approach, while sacrificing some total throughput.

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Implement Hardware-Efficient Real Burst Matrix Solve

Implement Hardware-Efficient Real Burst Matrix Solve

Implement Hardware-Efficient Real Burst Matrix Solve.

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Implement Hardware-Efficient Hyperbolic Tangent

Implement Hardware-Efficient Hyperbolic Tangent

Implement a hardware-efficient hyperbolic tangent.

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How to Use HDL Optimized Normalized Reciprocal

How to Use HDL Optimized Normalized Reciprocal

How and when to use the normalizedReciprocal function and the Normalized Reciprocal HDL Optimized block to compute the normalized reciprocal of an input.

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Fixed-Point HDL-Optimized Minimum-Variance Distortionless-Response (MVDR) Beamformer

Fixed-Point HDL-Optimized Minimum-Variance Distortionless-Response (MVDR) Beamformer

Implement a hardware-efficient MVDR beamformer.

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Fixed-Point Designer Documentation

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