On eigenvalues and equivalent transformation of trigonometric matrices (Q648922)

From MaRDI portal





scientific article; zbMATH DE number 5982423
Language Label Description Also known as
English
On eigenvalues and equivalent transformation of trigonometric matrices
scientific article; zbMATH DE number 5982423

    Statements

    On eigenvalues and equivalent transformation of trigonometric matrices (English)
    0 references
    0 references
    0 references
    0 references
    29 November 2011
    0 references
    We discuss some issues related to trigonometric matrices arising from the design of finite impulse response (FIR) digital filters. A conjecture on the eigenvalues of a trigonometric matrix is posed with a partial proof given. A new result is also presented on the related equivalent transformation of this trigonometric matrix into a diagonal matrix.
    0 references
    trigonometric matrix
    0 references
    eigenvalues
    0 references
    equivalent transformation
    0 references
    finite impulse response digital filters
    0 references
    diagonal matrix
    0 references

    Identifiers