FFT-Based Computation of Shift Invariant Analytic Wavelet Transform

Olkkonen, H.; Olkkonen, Juuso; Pesola, P.

doi:10.1109/lsp.2006.879983

Cited by 13 publications

(8 citation statements)

References 8 publications

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“…Displacement time history results analysis. The approximate center line of displacement data is rebuilt by the fast Fourier transform -based algorithm (Olkkonen et al, 2007;Zheng et al, 2019). According to a previous study Liu et al (2019a), dynamic responses at the center point are the most significant and typical.…”

Section: Experimental Results Analysismentioning

confidence: 99%

Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall

Liu

Wang

et al. 2020

Journal of Vibration and Control

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In this study, dynamic response of a typical umbrella membrane structure under heavy rainfall load is studied by experimental and numerical methods. In the experiment, heavy rainfalls of three rainfall intensities are applied to a typical umbrella membrane structure under five different tensile force levels. The dynamic responses of feature points and tensile force of cables are monitored by laser displacement sensors and digital tensimeters, respectively, during the experiment. In the numerical simulation, the membrane structural model is established in ANSYS by form-finding analysis, and the rainfall load that is calculated by the analytical formula is applied to dynamic analysis. The results of the numerical simulation and the experiment are in good agreement. According to the research results, the dynamic response laws of the umbrella membrane structure under rainstorm were obtained, and the influence of rainstorm load on the umbrella membrane structure was analyzed. Suggestions for safety and structural stability of the membrane structure are proposed.

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Section: Experimental Results Analysismentioning

confidence: 99%

Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall

Liu

Wang

et al. 2020

Journal of Vibration and Control

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“…The CHT has a plenty of applications such as computation of the envelope and instantaneous frequency and the construction of the digital quadrature encoders and amplitude modulators. The FFT-based Hilbert transform algorithms [5,7] can be directly replaced by the CHT prefilter in the shift-invariant multi-scale analysis. We demonstrated the feasibility of the CHT filter in reconstruction of the sign modulated CMOS logic pulses traverling through a fibre optic link.…”

Section: Discussionmentioning

confidence: 99%

“…Hilbert transform has an essential role in constructing analytical signals for a variety of signal processing applications, for example in envelope and instantaneous frequency analysis and in design of amplitude modulators and digital quadrature encoders. The recent applications include Hilbert-Huang decomposition [1], the shift-invariant wavelet transform algorithms [2][3][4][5], geophysical [6], seismic, ultrasonic radar and biomedical signal analyses [7][8][9][10][11]. The Hilbert transform theory is well established, but the computational methods are still under development.…”

Section: Introductionmentioning

confidence: 99%

Complex Hilbert Transform Filter

Olkkonen¹,

Olkkonen²

2011

JSIP

Self Cite

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Hilbert transform is a basic tool in constructing analytical signals for a various applications such as amplitude modulation, envelope and instantaneous frequency analysis, quadrature decoding, shift-invariant multi-rate signal processing and Hilbert-Huang decomposition. This work introduces a complex Hilbert transform (CHT) filter, where the real and imaginary parts are a Hilbert transform pair. The CHT filtered signal is analytic, i.e. its Fourier transform is zero in negative frequency range. The CHT filter is constructed by half-sample delay operators based on the B-spline transform interpolation and decimation procedure. The CHT filter has an ideal phase response and the magnitude response is maximally flat in the frequency range 0 ≤ ω ≤ π. The CHT filter has integer coefficients and the implementation in VLSI requires only summations and register shifts. We demonstrate the feasibility of the CHT filter in reconstruction of the sign modulated CMOS logic pulses in a fibre optic link

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“…Owing to its high computation complexity, the DFT is replaced by fast Fourier transform (FFT) algorithm. In [1], FFT‐based computation is performed to derive decimated wavelet coefficient which is time invariant and free from aliasing. Similarly, FFT computation is used in OFDM system and highly Doppler distorted OFDM systems [2] which have more than one FFT operation.…”

Section: Introductionmentioning

confidence: 99%

Two‐parallel pipelined fast Fourier transform processors for real‐valued signals

Glittas

Sellathurai

Lakshminarayanan

2016

IET Circuits, Devices & Systems

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This paper presents a set of novel two-parallel pipelined fast Fourier transform architectures for discrete Fourier transform computation of real-valued signal. The previous approaches of designing real-valued fast Fourier transform (RFFT) architectures are the attempts made to make the data path real. Some of the previous designs have partial real data paths (only first two stages are real), whereas the other designs have complete real data-paths, but reordering registers are required to bring the real and imaginary parts in parallel. Hence, these approaches reduce the number of registers and butterflies only to some extent in the RFFT design. In the proposed designs, feedback-based scheduling structures are introduced, which reduce the number of registers to half in several stages when compared with the previously known designs. Therefore, the proposed designs require 30% less area and 31.5% less power than the prior designs.

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FFT-Based Computation of Shift Invariant Analytic Wavelet Transform

Cited by 13 publications

References 8 publications

Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall

Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall

Complex Hilbert Transform Filter

Two‐parallel pipelined fast Fourier transform processors for real‐valued signals

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