# 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 Optimized Computes CORDIC-based hyperbolic tangent and generates optimized HDL code Normalized Reciprocal HDL Optimized Computes normalized reciprocal and generates optimized HDL code

#### Burst Implementation

 Real Burst Matrix Solve Using QR Decomposition Compute the value of x in the equation Ax = B for real-valued matrices using QR decomposition 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 QR Decomposition Compute the value of x in the equation Ax = B for complex-valued matrices using 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

#### Partial-Systolic Implementation

 Real Partial-Systolic Matrix Solve Using QR Decomposition Compute value of x in Ax = B for real-valued matrices using QR decomposition Real Partial-Systolic Matrix Solve Using Q-less QR Decomposition Compute 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 Factor Compute 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 Decomposition Compute value of x in Ax = B for complex-valued matrices using QR decomposition Complex Partial-Systolic Matrix Solve Using Q-less QR Decomposition Compute 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 Factor Compute 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 Decomposition QR decomposition for real-valued matrices Real Burst Q-less QR Decomposition Q-less QR decomposition for real-valued matrices Complex Burst QR Decomposition QR decomposition for complex-valued matrices Complex Burst Q-less QR Decomposition Q-less QR decomposition for complex-valued matrices

#### Partial-Systolic Implementation

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

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