The Discrete Fourier Transform, Part 4: Spectral Leakage.
نویسندگان
چکیده
منابع مشابه
The Discrete Fourier Transform, Part 4: Spectral Leakage
This paper is part 4 in a series of papers about the Discrete Fourier Transform (DFT) and the Inverse Discrete Fourier Transform (IDFT). The focus of this paper is on spectral leakage. Spectral leakage applies to all forms of DFT, including the FFT (Fast Fourier Transform) and the IFFT (Inverse Fast Fourier Transform). We demonstrate an approach to mitigating spectral leakage based on windowing...
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1 Motivation We want to numerically approximate coefficients in a Fourier series. The first step is to see how the trapezoidal rule applies when numerically computing the integral (2π) −1 2π 0 F (t)dt, where F (t) is a continuous, 2π-periodic function. Applying the trapezoidal rule with the stepsize taken to be h = 2π/n for some integer n ≥ 1 results in (2π) −1 2π 0 F (t)dt ≈ 1 n n−1 j=0 Y j , ...
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ژورنال
عنوان ژورنال: The Journal of Object Technology
سال: 2009
ISSN: 1660-1769
DOI: 10.5381/jot.2009.8.7.c2