Array- und Matrizen-Mathematik

Array- und Matrizen-Operationen, polynomiale Anpassung

Mithilfe von System objects und Blöcken der DSP System Toolbox™ können Sie mehrere mathematische Operationen an Arrays und Matrizen durchführen. Diese Operationen umfassen einfache Addition, Subtraktion, Multiplikation und Division und komplexere Operationen wie kumulative Summe, kumulatives Produkt und Normalisierung. Ebenfalls können Sie Diagonalen und obere und untere Dreiecke aus Matrizen extrahieren. Zudem gibt es DSP System Toolbox-Blöcke, die eine polynomiale Anpassung gemäß der Methode der kleinsten Quadrate durchführen, polynomiale Ausdrücke evaluieren und ermitteln, ob sich die Wurzeln eines Polynoms innerhalb des Einheitskreises befinden.

Blöcke

alle erweitern

Array-Operationen

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
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

Matrizenoperationen

Extract Triangular Matrix	Extract lower or upper triangle from input matrices
Matrix 1-Norm	Compute 1-norm of matrix
Matrix Concatenate	Concatenate input matrices of same data type for iterative processing
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
Reciprocal Condition	Compute reciprocal condition of square matrix in 1-norm
Toeplitz	Generate matrix with Toeplitz symmetry

Polynomiale Funktionen

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

Themen

Compute Difference of a Matrix
Simulink^® model example that shows how to calculate the rowwise and columnwise difference of a matrix.
Compute Maximum Column Sum of Matrix
Simulink model example that shows how to calculate the max column sum of a matrix.
Compute Matrix Exponential
Use the Matrix Exponential block to compute the matrix exponential of a square matrix.
Variable-Size Signal Support DSP System Objects
List of System objects that support variable-sized signals in DSP System Toolbox.