Design of Fractional Delay Filter Using Hermite Interpolation Method

Tseng, Chien‐Cheng; Lee, Su-Ling

doi:10.1109/tcsi.2011.2177136

Cited by 25 publications

(18 citation statements)

References 27 publications

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“…In doubly dispersive channels, it may be necessary to use more complex filters . In this case, it can be used the isotropic orthogonal transform algorithm filter or the Hermite filter …”

Section: System Modelmentioning

confidence: 99%

Efficient multitap equalization for FBMC‐OQAM systems

Guerra

Abrão

2019

Trans Emerging Tel Tech

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This work provides a simple yet efficient multitap equalization structure for filter bank multicarrier systems, which is a candidate waveform for the next generation (5G) of mobile communication systems. More specifically, we analyze the system performance under medium-to high-frequency selective channels. In this scenario, the single-tap equalizer is not enough to compensate the channel effects, and then, a multitap equalizer need to be deployed. In the literature, the available equalization structures that are more efficient in aggressive scenarios are generally quite complex, whereas the less complex alternatives do not perform satisfactorily in such conditions. In this context, we propose a new multitap equalization approach in the frequency domain, aiming at reducing the computational complexity while improving the system robustness against high-frequency selectivity conditions. For a wide range of number of taps and antennas, the proposed minimum mean square error-based frequency domain equalizer presents a much reduced computational complexity, ie, less than 1% of the conventional minimum mean square error-based time domain complexity.The operation, advantages, performance, and the main differences between multitap equalization schemes against the simple one-tap equalizer for filter bank multicarrier systems are comprehensively discussed.One of the main topologies used in the fourth-generation systems has been the orthogonal frequency division multiplexing (OFDM), which has various commercial applications such as wireless networks (Wi-Fi 802.11), multiple-input-multiple-output (MIMO) systems, cellular systems (LTE), and digital television digital video broadcasting-terrestrial. 1 Moreover, OFDM system has many advantages, eg, ability to operate in frequency selective channels, robustness against multipath fading effect, easy implementation with fast Fourier transform algorithms, and trivial equalization due the favorable channel condition on each subcarrier. Because of its features, OFDM is still a candidate for the 5G. However, the OFDM system has some well-known issues that may hinder its use in 5G, such as sensibility with the frequency synchronization, 2 high levels of peak-to-average power ratio (PAPR), which require high linearity amplifiers to avoid signal saturation, and consequently, the signal distortion. 3 Therefore, new advancing research works are necessary, aiming at proposing alternatives to attend the 5G requirements. 4 An alternative method for multiplexing data via multiple carriers, similar to the OFDM, is the filter bank multicarrier (FBMC). In the FBMC scheme, multiple filters are used to transmit data in parallel, using one filter per carrier. In practice, Abbreviations: FBMC, filter bank multicarrier; OQAM, offset quadrature amplitude modulation; MTE, multitap equalization; OFDM, orthogonal frequency division multiplexing. Equally contributing authors.Trans Emerging Tel Tech. 2019;30:e3775.wileyonlinelibrary.com/journal/ett

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“…In doubly dispersive channels, it may be necessary to use more complex filters . In this case, it can be used the isotropic orthogonal transform algorithm filter or the Hermite filter …”

Section: System Modelmentioning

confidence: 99%

Efficient multitap equalization for FBMC‐OQAM systems

Guerra

Abrão

2019

Trans Emerging Tel Tech

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“…To eliminate the frequency response error above, the derivative sampling technique has been used to design FDFs (up to the 1st order in this paper) [15,16,21]. The frequency response of SD-FDF can be written as H(e jω ) = H 0 (e jω ) + jωH 1 (e jω )…”

Section: Dsc-fd Systemsmentioning

confidence: 99%

“…To demonstrate the low time-domain error of the proposed DSC-FD system, we compare the time-domain errors of three different delay methods. The first delay method is DS-FDF with the digital differentiator in [16] while the second delay method is DS-FDF with the analog differentiator in [16], and the third is the proposed method. We use UWB linear frequency modulated (LFM) signals to evaluate the performance of delay methods.…”

Section: Dsc-fd Systemsmentioning

confidence: 99%

“…Thus these FDFs will lead to higher interpolation errors, and consequently result in high sidelobes and a reduced beam pattern gain when used for DBF of UWB signals. The FDFs implemented by derivative sampling (DS-FDF) have been introduced to improve the frequency response [15,16], but they require the multi-channel sampling technique. To achieve a high interpolation accuracy while using the single channel sampling technique, we devise a fractional delay system, which combines DS-FDF with Carathéodory representation (DSC-FD), to realize time delay compensation of each antenna.…”

Section: Introductionmentioning

confidence: 99%

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High-resolution digital beamforming of UWB signals based on Caratheodory representation for delay compensation and array extrapolation

2018

Journal of Systems Engineering and Electronics

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To realize high-resolution digital beamforming (DBF) of ultra-wideband (UWB) signals, we propose a DBF method based on Carathéodory representation for delay compensation and array extrapolation. Delay compensation by Carathéodory representation could achieve high interpolation accuracy while using the single channel sampling technique. Array extrapolation by Carathéodory representation reformulates and extends each snapshot, consequently extends the aperture of the original uniform linear array (ULA) by several times and provides a better realtime performance than the existing aperture extrapolation utilizing vector extrapolation based on the two dimensional autoregressive (2-D AR) model. The UWB linear frequency modulated (LFM) signal is used for simulation analysis. Simulation results demonstrate that the proposed method is featured by a much higher spatial resolution than traditional DBF methods and lower sidelobes than using Lagrange fractional filters.

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“…Second, if delay p is variable then it is called VFD¯lter. Di®erent methods 9{22 have been already proposed to solve the VFD¯lter design problem such as Farrow method, 9 hybrid structure design method, 10 constrained minimax design method,11 weighted least square (WLS) methods, 12{14 eigen¯lter approach,15 maximally°at methods,16 discrete fourier transfrom method,17 hermite interpolation method,18 analog rational functions approximations,…”

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confidence: 99%

Design of a Variable Fractional Delay Filter Using Comprehensive Least Square Method Encompassing All Delay Values

Kumar

Rawat

2015

J CIRCUIT SYST COMP

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The work presented in this paper is concerned with the designing of a variable fractional delay (VFD) FIR¯lter using least square method encompassing all delay values p. First, the frequency response, e Àj!p , of the VFD¯lter is approximated using power series expansion of an exponential function and then, it is represented in terms of frequency response of the di®erentiator. Next, the proposed least square method adopts a novel cost function which includes all the fractional delay values. Finally, design and application examples are given to illustrate that the proposed least square method have better design accuracy and signi¯cantly reduction in magnitude error with the same degree of complexity than existing least square methods.

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Design of Fractional Delay Filter Using Hermite Interpolation Method

Cited by 25 publications

References 27 publications

Efficient multitap equalization for FBMC‐OQAM systems

Efficient multitap equalization for FBMC‐OQAM systems

High-resolution digital beamforming of UWB signals based on Caratheodory representation for delay compensation and array extrapolation

Design of a Variable Fractional Delay Filter Using Comprehensive Least Square Method Encompassing All Delay Values

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