Design of Analog Gaussian Filter Used in Roughness Measuring Instrument

Jian, Guo; Jie, Zhu

doi:10.1109/itcs.2010.67

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2020

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“…The results are shown in Figure 5, Figure 6 and Figure 7, where Figure 5 and Figure 6 display the impulse responses in time (real and imaginary parts), Figure 7 presents the magnitude response in frequency. For further comparison, some other approximation methods are introduced, including rational approximation (RA) [28,29] and Padé approximation (PA) [30][31][32]. Abbreviations LA and CLA are used to represent the original L 2 -norm approximation and constrained L 2 -norm approximation, respectively.…”

Section:  mentioning

confidence: 99%

“…To deal with this problem, some works conduct the approximation in s-domain. For example, in [28] and [29], Taylor series are used to approximate the filter transfer function. Then a rational transfer function is obtained by picking out the poles in the left half of a complex plane.…”

Section: Introductionmentioning

confidence: 99%

Analog Continuous-Time Filter Designing for Morlet Wavelet Transform Using Constrained L2-Norm Approximation

Wang¹,

Meng

Wang³

2020

IEEE Access

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In this paper, a novel methodology is proposed to implement the Morlet wavelet transform in an analog circuit. Under the proposed scheme, the impulse response of the linear time-invariant system is used to approximate the Morlet wavelet function. The approximation accuracy is guaranteed by the constrained L 2-norm method, which reduces the approximation error by decreasing free parameters in searching routines. Due to the complex wavelet function, a common-pole strategy is presented for filter construction. With the common poles in real and imaginary parts, partial components can be shared during the analog implementation of the wavelet transform. With the reasonably good approximation for Morlet wavelet function, an analog continuous-time filter is designed based on the Gm-C integrator and orthonormal ladder topology. Application examples are introduced to illustrate the superior performance of the proposed filter. It is shown that the designed analog filter approximates the ideal Morlet wavelet function well in both time and frequency.

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Design of Analog Gaussian Filter Used in Roughness Measuring Instrument

Cited by 2 publications

References 2 publications

Analog Continuous-Time Filter Designing for Morlet Wavelet Transform Using Constrained L2-Norm Approximation

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