2000
DOI: 10.1109/19.863917
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LIDFT-the DFT linear interpolation method

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Cited by 23 publications
(22 citation statements)
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“…The presented approximation of the unit circle is universal because it can be used in every method that uses a unit circle defined by (1). One of these applications is the DFT linear interpolation method (LIDFT), which originally [33][34][35]45] (3) with respect to  , the matrix equation of the LIDFT method is also linear, which is one of the most important advantages of this method. A detailed analysis of the application of the presented universal approximation to the LIDFT method will be the subject of a separate paper.…”
Section: Discussionmentioning
confidence: 99%
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“…The presented approximation of the unit circle is universal because it can be used in every method that uses a unit circle defined by (1). One of these applications is the DFT linear interpolation method (LIDFT), which originally [33][34][35]45] (3) with respect to  , the matrix equation of the LIDFT method is also linear, which is one of the most important advantages of this method. A detailed analysis of the application of the presented universal approximation to the LIDFT method will be the subject of a separate paper.…”
Section: Discussionmentioning
confidence: 99%
“…Nonparametric spectrum interpolation methods make it possible to zoom in on the frequency domain but do not decrease the errors caused by long-range spectral leakage (i.e., by sidelobes of spectrum lines of neighbor components in the spectrum), which are defined by the frequency characteristic of the data window applied [47]. Similarly, the long-range spectral leakage is neglected in all noniterative interpolated DFT methods, except the DFT linear interpolation method (LIDFT) [33][34][35]45] and the multipoint weighted interpolated DFT (MWIDFT) method [36,38,43]. However, the MWIDFT method is defined only for some classes of cosine-family data windows, i.e., for the class I of Rife-Vincent windows [21], also called the maximum sidelobe decay windows [38,41,43].…”
Section: Introduction: Spectral Analysis and The Unit Circle Approximmentioning
confidence: 99%
“…The least-squares approximation of the data window frequency characteristics with appropriate linear functions is used in the linear interpolation of the discrete Fourier transform (LIDFT) [1][2][3] and the zero padding can also be used with this approximation to increase approximation accuracy [4]. Linear approximation of the spectrum allows for linearizing relationships to determine component frequencies and this feature of the LIDFT method differs it from other methods of signal estimation [5][6][7][8][9][10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%
“…In the methods described in [1][2][3][4] the approximation function is discontinuous, which can be inadvisable in some applications.…”
Section: Introductionmentioning
confidence: 99%
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