Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase

Parks, T.W.; McClellan, J.H.

doi:10.1109/tct.1972.1083419

Cited by 677 publications

(272 citation statements)

References 7 publications

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“…For synthesis of biorthogonal quincunx systems, there are two main approaches. One uses the McClellan transformation to map 1-D biorthogonal two channel filter banks to 2-D biorthogonal solutions [9]. The other is based on polyphase mapping and leads to efficient filter banks that use the ladder structure where all the operations are separable.…”

Section: Propositionmentioning

confidence: 99%

A novel optimization design approach for Contourlet directional filter banks

Zhang

Yang

Cheng

et al. 2014

IEICE Electron. Express

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A Contourlet transform, an expansion of a wavelet transform, is a double filter bank structure composed of Laplacian Pyramid and directional filter banks. Several wavelet filters of preferable performance have been developed for wavelet transforms, e.g. CDF (Cohen, Daubechies and Feauveau) 9/7 filter. However, there is still only a limited number of wavelet filters applicable for Contourlet transforms. Therefore, it has become an urgent issue to find effective contourlet filters and design methods in the field of multiscale geometric analysis. In order to design a new directional filter bank for Contourlet transforms, this paper uses parametric modeling to obtain a novel PKVA (See-May Phoong, Chai W. Kim, P. P. Vaidyanathan, and Rashid Ansari) filter, by first implementing Chebyshev best uniform approximation, and then reaching the optimal solution by means of ParksMcClellan algorithm. Using Brodatz standard texture image database for test images, and using image denoising treated with hidden Markov tree (HMT) models in the Contourlet domain, the optimal PKVA filter was obtained on the basis of the peak signal to noise ratio (PSNR) maximum criterion with human visual properties considered. Experiment results show that the image denoising performance of our filter is better than that of Po and Do's. The PSNR obtained from the experiment is 1.011449 higher than that of Po and Do's in average. Therefore, Contourlet transforms using the proposed PKVA filter as DFB can ensure that the local error in images is of a uniform minimum value, and that good overall visual effect can be achieved.

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Section: Propositionmentioning

confidence: 99%

A novel optimization design approach for Contourlet directional filter banks

Zhang

Yang

Cheng

et al. 2014

IEICE Electron. Express

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“…The Parks-McClellan algorithm [5,6] is an iterative algorithm utilized for the design of efficient finite impulse response (FIR) filters with linear phase. It obtains the optimum Chebyshev approximation on separate intervals corresponding to passbands and/or stopbands.…”

Section: Signal Processing Techniquesmentioning

confidence: 99%

“…However, they have their limitations, especially their complicated hardware implementation and the time requirement to achieve their goal pulses. Besides, with ParksMcClellan algorithm, it is not possible to independently specify all of the desired parameters [5]. A different approach to inducing adaptive nulls in a UWB pulse is through the use of reconfigurable bandstop (notch) RF filters.…”

Section: Bandstop Filter Designmentioning

confidence: 99%

Reconfigurable Filter Antennas for Pulse Adaptation in Uwb Cognitive Radio Systems

Al‐Husseini¹,

Safatly²,

Ramadan³

et al. 2012

PIER B

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Abstract-The design of filter antennas with reconfigurable band stops is proposed. They are meant for employment in ultrawideband cognitive radio (UWB-CR) systems, where unlicensed users communicate using adaptive pulses that have nulls in the bands used by licensed users. Neural networks or circuits implementing the Parks-McClellan algorithm can generate such pulses. With filter antennas, reconfigurable bandstop filters are first designed, to induce adaptive nulls in UWB pulses, and are then integrated in the feed line of a UWB antenna. The advantages of this combination are discussed. The filters are based on split-ring resonators (SRRs) and complementary split-ring resonators (CSRRs). The relationship between the SRR and CSRR parameters and the stop band is also studied.

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“…In this paper, a low pass FIR filter with a cut off frequency of 20 Hz is used (Appendix A). The FIR filter has been designed following the method proposed by Parks and McClellan [36].…”

Section: Finite Impulse Response (Fir) Filtermentioning

confidence: 99%

Detecting regime transitions in gas-solid fluidized beds from low frequency accelerometry signals

et al. 2011

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a b s t r a c tLow frequency accelerometry signals have been applied for detecting regime transitions in a gas solid fluidized bed. Three solids have been fluidized to promote bubbling, churn and slugging regime. The Kolmogorov entropy and the power spectral density have been used to determine the regime transitions as well as to analyze the dynamical features characterizing the different regimes. Pressure and external acceleration measurements have been taken simultaneously. The accelerometry signal was sampled at 10 kHz; then, the envelope was extracted and resampled at 400 Hz. Pressure signal was sampled at 10 kHz and resampled at 400 Hz. Two problems were found during the work: the colored noise present in the envelope and the lack of low frequency information for one of the tested solids. FIR, wavelet and EMD filter strategies have been applied to remove the noise present in the envelope. It is concluded that the envelope of the accelerometry signal might be used to detect regime transition in the same way as the pressure fluctuation signals. Both Kolmogorov and spectral analysis exhibit common features to those obtained from pressure signal analysis, supporting the hypothesis of using low frequency accelerometry instead of conventional pressure measurements for monitoring fluidized beds.

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Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase

Cited by 677 publications

References 7 publications

A novel optimization design approach for Contourlet directional filter banks

A novel optimization design approach for Contourlet directional filter banks

Reconfigurable Filter Antennas for Pulse Adaptation in Uwb Cognitive Radio Systems

Detecting regime transitions in gas-solid fluidized beds from low frequency accelerometry signals

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