Improvements to the Sliding Discrete Fourier Transform Algorithm [Tips & Tricks]
نویسندگان
چکیده
This article presents two networks that improve upon the behavior and performance of previously published sliding discrete Fourier transform (SDFT) algorithms. The proposed are structurally simple, computationally efficient, guaranteed stable used for real-time spectrum analysis. first network computes one spectral output sample, equal to a single-bin an N-point DFT, each input signal sample. second is frequency flexible, in its analysis can be any scalar value range zero one-half data sample rate measured cycles per second.
منابع مشابه
Recursive sliding discrete Fourier transform with oversampled data
Article history: Available online 17 October 2013
متن کاملThe Discrete Fourier Transform∗
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 , ...
متن کاملThe Discrete Fourier Transform
Disclaimer: These notes are intended to be an accessible introduction to the subject, with no pretense at completeness. In general, you can find more thorough discussions in Oppenheim's book. Please let me know if you find any typos. In this lecture, we discuss the Discrete Fourier Transform (DFT), which is a fourier representation for finite length signals. The main practical importance of thi...
متن کاملDiscrete Convolution and the Discrete Fourier Transform
Discrete Convolution First of all we need to introduce what we might call the “wraparound” convention. Because the complex numbers wj = e i 2πj N have the property wj±N = wj, which readily extends to wj+mN = wj for any integer m, and since in the discrete Fourier context we represent all N -dimensional vectors as linear combinations of the Fourier vectors Wk whose components are wkj , we make t...
متن کاملThe discrete fractional Fourier transform
We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform generalizes the continuous ordinary Fourier transform. This definition is based on a particular set of eigenvectors of the DFT matrix, which constitutes the discrete counterpart of the set of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Signal Processing Magazine
سال: 2021
ISSN: ['1053-5888', '1558-0792']
DOI: https://doi.org/10.1109/msp.2021.3075416