Interpolated DFT for sinα(x) Windows

被引:39
作者
Duda, Krzysztof [1 ]
Barczentewicz, Szymon [1 ]
机构
[1] AGH Univ Sci & Technol, Dept Measurement & Elect, PL-30059 Krakow, Poland
关键词
Discrete Fourier transform (DFT); frequency and damping estimation; frequency domain measurements; interpolated DFT; signal processing; windowing; FREQUENCY ESTIMATION; ALGORITHMS; ACCURACY;
D O I
10.1109/TIM.2013.2285795
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper describes interpolated discrete Fourier transform (IpDFT) for parameter estimation of sinusoidal and damped sinusoidal signals analyzed with a sin(alpha)(x) window. For alpha = 0, 2, 4, . . . sin(alpha)(x) windows are Rife-Vincent class I (RVI) windows, for which IpDFT algorithms are known. We present a new IpDFTs for a = 1, 3, 5,.... The bias-variance trade-off of the proposed IpDFT fits between results offered by RVI windows, e. g., for alpha = 1, we get higher noise immunity than Hann (RVI order 1, alpha = 2) window and lower bias than rectangular (RVI order 0, alpha = 0) window.
引用
收藏
页码:754 / 760
页数:7
相关论文
共 20 条
[1]  
Agrez Dusan, 2009, 2009 IEEE Instrumentation and Measurement Technology Conference (I2MTC), P1321, DOI 10.1109/IMTC.2009.5168660
[2]   Weighted multipoint interpolated DFT to improve amplitude estimation of multifrequency signal [J].
Agrez, D .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2002, 51 (02) :287-292
[3]   Estimation of parameters of the weakly damped sinusoidal signals in the frequency domain [J].
Agrez, Dusan .
COMPUTER STANDARDS & INTERFACES, 2011, 33 (02) :117-121
[4]   WINDOWS AND INTERPOLATION ALGORITHMS TO IMPROVE ELECTRICAL MEASUREMENT ACCURACY [J].
ANDRIA, G ;
SAVINO, M ;
TROTTA, A .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 1989, 38 (04) :856-863
[5]  
[Anonymous], 1977, DISCRETE TIME SIGNAL
[6]   Accuracy of Sine Wave Frequency Estimation by Multipoint Interpolated DFT Approach [J].
Belega, Daniel ;
Dallet, Dominique ;
Petri, Dario .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2010, 59 (11) :2808-2815
[7]   Efficiency of the Three-Point Interpolated DFT Method on the Normalized Frequency Estimation of a Sine-Wave [J].
Belega, Daniel ;
Dallet, Dominique .
2009 IEEE INTERNATIONAL WORKSHOP ON INTELLIGENT DATA ACQUISITION AND ADVANCED COMPUTING SYSTEMS: TECHNOLOGY AND APPLICATIONS, 2009, :2-+
[8]   ANALYSIS OF DAMPED SINUSOIDAL SIGNALS VIA A FREQUENCY-DOMAIN INTERPOLATION ALGORITHM [J].
BERTOCCO, M ;
OFFELLI, C ;
PETRI, D .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 1994, 43 (02) :245-250
[9]   Efficacy of the Frequency and Damping Estimation of a Real-Value Sinusoid Part 44 in a series of tutorials on instrumentation and measurement [J].
Duda, Krzysztof ;
Zielinski, Tomasz P. .
IEEE INSTRUMENTATION & MEASUREMENT MAGAZINE, 2013, 16 (02) :48-58
[10]   DFT-based Estimation of Damped Oscillation Parameters in Low-Frequency Mechanical Spectroscopy [J].
Duda, Krzysztof ;
Magalas, Leszek B. ;
Majewski, Mariusz ;
Zielinski, Tomasz P. .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2011, 60 (11) :3608-3618