مشخصات پژوهش

خانه /The Schur decomposition of ...
عنوان
The Schur decomposition of discrete Sine and Cosine transformations of type IV
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
Discrete trigonometric transforms Discrete cosine transforms Discrete sine transforms eigenvalues eigenvectors
چکیده
Eigendecomposition of discrete sine and cosine transformations of type IV is the main objective of this study. A closed form formula for eigenvectors is derived using the property that a square of the transform matrix is proportional to the identity matrix. Odd and even transform sizes are considered separately. In both cases, it has been demonstrated that the eigenvectors can be obtained by a straightforward modification of the columns of the transformation matrix. Comparing this approach with the related works, it provides a simple explanation of the eigendecomposition with a reliable numerical stability. Additionally, these eigenvectors can be used to obtain the eigendecomposition of the counterpart offset discrete Fourier transform.
پژوهشگران علی باقری بردی (نفر اول)، میلوش داکوویچ (نفر دوم)، طاهر یزدان پناه (نفر سوم)، فاطمه زارعی (رشته ریاضی) (نفر چهارم)، لوبیشا استانکوویچ (نفر پنجم)