Array and Matrix Mathematics

Array and matrix operations, polynomial fitting

You can perform several mathematical operations on arrays and matrices using System objects and blocks in the DSP System Toolbox™. These operations include simple operations such as addition, subtraction, multiplication, and division, and more complex operations such as cumulative sum, cumulative product, and normalization. You can also extract diagonals and upper and lower triangles from matrices. In addition, there are DSP System Toolbox blocks that perform polynomial fitting in a least-squares sense, evaluate polynomial expressions, and determine if the roots of a polynomial are inside the unit circle.

Objects

dsp.HDLComplexToMagnitudeAngle Magnitude and phase angle of complex signal—optimized for HDL code generation

Blocks

expand all

Array Operations

Array-Vector Add	Add vector to array along specified dimension
Array-Vector Divide	Divide array by vector along specified dimension
Array-Vector Multiply	Multiply array by vector along specified dimension
Array-Vector Subtract	Subtract vector from array along specified dimension
Complex to Magnitude-Angle HDL Optimized	Compute magnitude and phase angle of complex signal – optimized for HDL code generation using the CORDIC algorithm
Cumulative Product	Cumulative product of channel, column, or row elements
Cumulative Sum	Cumulative sum of channel, column, or row elements
dB Conversion	Convert magnitude data to decibels (dB or dBm)
dB Gain	Apply decibel gain
Difference	Compute element-to-element difference along specified dimension of input
Normalization	Perform vector normalization along rows, columns, or specified dimension

Matrix Operations

Create Diagonal Matrix	Create square diagonal matrix from diagonal elements
Extract Diagonal	Extract main diagonal of input matrix
Extract Triangular Matrix	Extract lower or upper triangle from input matrices
Identity Matrix	Generate matrix with ones on main diagonal and zeros elsewhere
Matrix 1-Norm	Compute 1-norm of matrix
Matrix Concatenate	Concatenate input signals of same data type to create contiguous output signal
Matrix Exponential	Compute matrix exponential
Matrix Multiply	Multiply and divide scalars and nonscalars or multiply and invert matrices
Matrix Product	Multiply matrix elements along rows, columns, or entire input
Matrix Sum	Add or subtract inputs
Overwrite Values	Overwrite submatrix or subdiagonal of input
Permute Matrix	Reorder matrix rows or columns
Reciprocal Condition	Compute reciprocal condition of square matrix in 1-norm
Submatrix	Select subset of elements (submatrix) from matrix input
Toeplitz	Generate matrix with Toeplitz symmetry

Polynomial Functions

Least Squares Polynomial Fit	Compute polynomial coefficients that best fit input data in least-squares sense
Polynomial Evaluation	Evaluate polynomial expression
Polynomial Stability Test	Use Schur-Cohn algorithm to determine whether all roots of input polynomial are inside unit circle

Topics

Variable-Size Signal Support DSP System Objects

List of System objects which support variable-sized signals in DSP System Toolbox.