New approach to the synthesis of sharp transition FIR digital filter

Rodrigues, Joseph; Pai, K. R.

doi:10.1109/isie.2005.1529090

Cited by 16 publications

(5 citation statements)

References 3 publications

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“…Also large delays introduced are undesired in real time applications. Synthesis of sharp transition FIR lowpass filters is introduced by Rodrigues and Pai, (2005a), Rodrigues et al (2006). The simple analytical methods give narrow transition band with flat passband, good stopband attenuation with less filter order.…”

Section: Discussionmentioning

confidence: 99%

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Sharp Transition Multiband Filter in Speech Processing Scheme for Hearing Impaired

Shamala¹

2012

American Journal of Engineering and Applied Sciences

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Problem statement:A simple analytical approach to the synthesis of a sharp transition, linear phase, multiband FIR filter is presented. The filter magnitude response is modeled using trigonometric functions of frequency. Approach: Employing variable density of ripple cycles in passband and stopband regions with large density of ripples cycles at the sharp transition edges, reduces the abrupt discontinuities at these edges. Results: As a result, Gibb's phenomenon is reduced in the filter implementation thus giving a flat passband and good stopband attenuation. A closed form expression for impulse response coefficients is obtained. The filter design is easily tunable and allows for variation in transition bandwidth of each band. A speech processing scheme is implemented using a pair of the proposed sharp transition multiband FIR filters to split the speech spectrum into complementary short time spectral bands. Conclusion: The adjacent speech formants are fed dichotically to the two ears to reduce the effect of spectral masking and hence improve speech perception in sensorineural hearing impaired.

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Section: Discussionmentioning

confidence: 99%

“…For the multiband design, novel slope equalization technique (Rodrigues and Pai, 2005b) is applied which further improves the performance of the filter. The filter design parameter k p is evaluated by equalizing the slopes of the magnitude response function at the edges of the transition region which are the points of discontinuity.…”

Section: Methodsmentioning

confidence: 99%

Sharp Transition Multiband Filter in Speech Processing Scheme for Hearing Impaired

Shamala¹

2012

American Journal of Engineering and Applied Sciences

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“…However, this filter design has the disadvantage of requiring complicated and enormous computation processing for adjusting the ripples of the bands and the width of the transition-band. In contrast to previous studies [18], [25], Frequency Response Masking (FRM)based filters outperform other designed filters in terms of the transition bandwidth and maximum passband ripple for a given order of filter within an acceptable limit [17], [19], [28]. Recently, Roy and Chandra reported enhanced FRM method using an interpolated band-pass filter, resulting in novel FRM-based filters with more excellent frequency characteristics [28].…”

Section: Introductionmentioning

confidence: 94%

“…8 that demonstrates the performance of g-LHBP filters for a given K and . In addition, Table IV shows the comparison of the proposed method with the previous state-of-the-art works, where examples given in [16]- [19], [25], [28] have been considered for comparison purposes. It can be seen that the g-LHBP filters outperform the other designed filters in terms of transition bandwidth and peak-to-peak passband/stopband ripples.…”

Section: Design Examplesmentioning

confidence: 99%

“…To address such a narrow transition band issue in designing FIR filters so far, there have been a lot of efforts in the direction of frequency response control by utilizing various design technologies [14]- [19], [25]- [29]. Rodrigues and Pai introduced a sharp transition FIR filter design using sinusoidal functions of frequency to evaluate the impulse response coefficients in closed form [25]. This method allows closed-form parameters for simple and direct computation, but there occur non-negligible amplitude distortions in the stopband and passband.…”

Section: Introductionmentioning

confidence: 99%

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Design of FIR Half-Band Filter With Controllable Transition-Band Steepness

et al. 2021

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Maximally flat (MAXFLAT) half-band filters usually have wider transition-band than other filters although the frequency response is maximally flat (i.e., no ripples) in the passband and stopband. This is due to fact that the maximum possible number of zeros at z = ±1 is imposed in half-band close form solution, which leaves no degree of freedom, and thus no independent parameters for direct control of the frequency response. This paper describes a novel method for the design of FIR half-band filters with an explicit control of the transition bandwidth. The proposed method is based on a generalized Lagrange halfband polynomial (g-LHBP) with coefficients parameterizing a 0-th coefficient h 0 and allows the frequency response of this filter type to be controllable by adjusting h 0 . Then, h 0 is modeled as a steepness parameter of the transition-band and this is accomplished through theoretically analyzing a polynomial recurrence relation of the g-LHBP. This method also provides explicit formulas for direct computation of design parameters related to choosing a desired filter characteristic (by a reasonable trade-off between the transition-band sharpness and passband & stopband flatness). The examples are shown to provide a complete and accurate solution for the design of such filters with relatively sharper transition-band steepness than other existing half-band filters.

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FIR Filter Design Technique to Mitigate Gibb’s Phenomenon

Marchon¹,

Naik

2019

Control Instrumentation Systems

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New approach to the synthesis of sharp transition FIR digital filter

Cited by 16 publications

References 3 publications

Sharp Transition Multiband Filter in Speech Processing Scheme for Hearing Impaired

Sharp Transition Multiband Filter in Speech Processing Scheme for Hearing Impaired

Design of FIR Half-Band Filter With Controllable Transition-Band Steepness

FIR Filter Design Technique to Mitigate Gibb’s Phenomenon

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