Design of linear phase FIR filters with a maximally flat passband

Hanna, M.T.

doi:10.1109/82.486462

Cited by 13 publications

(3 citation statements)

References 12 publications

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“…The rest of the designs presented in Sections 3 and 4 remain unaltered. In this case, the elements g ±(2k−1) for |k|¿N will not add their share in the summations of Equations (4b) and (5), and the size of the ripple appearing on the frequency response will be a bit larger. However, the magnitude of these ignored elements is very small, and the increase in the size of the ripple will be very small, which should be tolerable as a consequence of a considerable decrease in the computational burden.…”

Section: Filters With Narrow Transition Bandsmentioning

confidence: 99%

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New designs of low/high‐pass and mid‐pass/stop FIR digital filters

Khan

Ohba

2001

Circuit Theory & Apps

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SUMMARYNew designs of highly e cient low=high-and mid-pass=stop (centre-symmetric band-pass=stop) FIR non-recursive digital ÿlters are presented. The designs are based on the modulation property of DFT, applied to the already presented MAXFLAT halfband low-pass ÿlters. The presented ÿlters have explicit formulas for their tap-coe cients, and therefore are very easy to design. They have highly smooth frequency response and wider transition regions like MAXFLAT ÿlters. The design formulae are modiÿed to give new classes of low=high-and mid-pass=stop ÿlters, for which, like in equiripple ÿlters, the transition bandwidth can be reduced by increasing the size of ripple on magnitude response. It is shown, with the help of design examples, that the performance of these ÿlters is comparable to that of equiripple ÿlters.

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Section: Filters With Narrow Transition Bandsmentioning

confidence: 99%

“…Tap-coe cients of the ÿlter are then calculated by inverse discrete Fourier transform of the ÿlter function. Some other MAXFLAT design techniques have also been reported and can be found in References [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

New designs of low/high‐pass and mid‐pass/stop FIR digital filters

Khan

Ohba

2001

Circuit Theory & Apps

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“…Hanna has proposed a design method in which flat passband characteristics are obtained and the energy difference from the desired characteristics in the passband and stopband is minimized. The filters obtained by this method do not show equiripple characteristics in the stopband [7]. Vaidyanathan has designed a linear phase FIR filter [8] with flat passband and equiripple stopband characteristics.…”

Section: Introductionmentioning

confidence: 98%

Designing linear phase FIR digital filters with flat passband and equiripple stopband characteristics

Aikawa¹,

Sato²

2002

Electron Comm Jpn Pt III

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SUMMARYIt is known that linear phase FIR digital filters fall into four types considering the symmetry of impulse response. For example, filters of type 2 can be used at the time of partitioning and reconstruction of signals in multirate signal processing, and other types have similar special applications. Moreover, the linear phase FIR digital filters with flat passband and equiripple stopband characteristics are very important filters in practice because they have better time domain characteristics and less ringing than Chebyshev filters with equiripple stopband and passband characteristics. However, conventional design methods are restricted to type 1. In this paper, we therefore propose a method of design of linear phase FIR digital filters with flat passband and equiripple stopband characteristics for all four types. The proposed function is composed of two functions, one with a flat characteristic in the passband and the second with equiripple characteristics in the stopband. The latter function is obtained by using the well-known Remez algorithm only for the stopband.

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Brain-computer interface prototype to support upper limb rehabilitation processes in the human body

Camargo-Vargas,

Callejas-Cuervo,

Alarcón-Aldana

2023

Int. j. inf. tecnol.

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The high potential for creating brain-computer interfaces (BCIs) and video games for upper limb rehabilitation has been demonstrated in recent years. In this work, we describe the implementation of a prototype BCI with feedback based on a virtual environment to control the lateral movement of a character by predicting the subject’s motor intention. The electroencephalographic signals were processed employing a Finite Impulse Response (FIR) filter, Common Spatial Patterns (CSP), and Linear Discriminant Analysis (LDA). Also, a video game was used as a virtual environment, which was written in C# on the Unity3D platform. The test results showed that the prototype implemented based on electroencephalographic signal acquisition has the potential to take on real-time applications such as avatar control or assistive devices, obtaining a maximum control time of 65 s. In addition, it was noticed that the feedback in an interface plays a crucial role, since it helps the person not only to feel motivated, but also to learn how to have a more consistent motor intention and when little calibration data is recorded, the probability that the system makes erroneous predictions increases. These results demonstrate the usefulness of the development as support for people who require some treatment in the form of upper limb motor rehabilitation, and that the use of virtual environments, such as video games, can motivate such people during the rehabilitation processes.

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Design of linear phase FIR filters with a maximally flat passband

Cited by 13 publications

References 12 publications

New designs of low/high‐pass and mid‐pass/stop FIR digital filters

New designs of low/high‐pass and mid‐pass/stop FIR digital filters

Designing linear phase FIR digital filters with flat passband and equiripple stopband characteristics

Brain-computer interface prototype to support upper limb rehabilitation processes in the human body

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