НАН РА. Математические вопросы кибернетики и вычислительной техники=Mathematical problems of computer science

On compensation of discrete Fourier transform error

Asatryan, David G. (2004) On compensation of discrete Fourier transform error. Математические вопросы кибернетики и вычислительной техники, № 23. pp. 54-58. ISSN 0131-4645

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    Abstract

    A problem of reduction of the percentage (relative) error, appearing at a ¯nite signal spectrum restoration by means of Discrete Fourier Transform is considered. A method based on using of a ¯nite impulse ¯lter with various impulse responses is o®ered. Depending on errors of the initial spectrum, a percentage error expression derivable after using the ¯ltering is obtained. A criterion for comparison between speci¯ed errors at a large number of discrete points is o®ered. Conditions, when the ¯lter of given response reduces the restoration error module, are obtained. Examples with uniform window and some ¯nite functions of standard type are considered. Keywords - FFT, discretization error, spectrum, spectrum restoration, ¯nite impulse ¯lter, error compensation.

    Item Type: Article
    Additional Information: Ֆուրյեի ընդհատ ձևափոխության սխալի նվազեցման մասին։
    Uncontrolled Keywords: Ասատրյան Դ. Գ.
    Subjects: Q Science > QA Mathematics
    Divisions: UNSPECIFIED
    Depositing User: FSL Bibl. Dept.
    Date Deposited: 22 May 2014 14:44
    Last Modified: 14 Apr 2015 13:39
    URI: http://compsci.asj-oa.am/id/eprint/483

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