Main Content

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.

Blocks

expand all

Array-Vector AddAdd vector to array along specified dimension
Array-Vector DivideDivide array by vector along specified dimension
Array-Vector MultiplyMultiply array by vector along specified dimension
Array-Vector SubtractSubtract vector from array along specified dimension
Cumulative ProductCumulative product of channel, column, or row elements
Cumulative SumCumulative sum of channel, column, or row elements
dB ConversionConvert magnitude data to decibels (dB or dBm)
dB GainApply decibel gain
DifferenceCompute element-to-element difference along specified dimension of input
NormalizationPerform vector normalization along rows, columns, or specified dimension
Extract Triangular MatrixExtract lower or upper triangle from input matrices
Matrix 1-NormCompute 1-norm of matrix
Matrix ConcatenateConcatenate input signals of same data type to create contiguous output signal
Matrix ExponentialCompute matrix exponential
Matrix MultiplyMultiply and divide scalars and nonscalars or multiply and invert matrices
Matrix ProductMultiply matrix elements along rows, columns, or entire input
Matrix SumAdd or subtract inputs
Overwrite ValuesOverwrite submatrix or subdiagonal of input
Reciprocal ConditionCompute reciprocal condition of square matrix in 1-norm
ToeplitzGenerate matrix with Toeplitz symmetry
Least Squares Polynomial FitCompute polynomial coefficients that best fit input data in least-squares sense
Polynomial EvaluationEvaluate polynomial expression
Polynomial Stability TestUse Schur-Cohn algorithm to determine whether all roots of input polynomial are inside unit circle

Topics