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

delete2020-01-01
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OA
AI
Q
Qiang Wang
C
Chen Meng
C
Cheng Wang *
DOI:10.1109/ACCESS.2020.3007254delete
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摘要

摘要

En 中文
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.
Keyword:
Morlet wavelet transform
analog filter
approximation
L-2-norm
orthonormal ladder topology
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IEEE Access
IF:
3.6
论文数:
9.8W
被引数:
29.4W

机构

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Army Engineering University of PLA
学者数:
5.0K
论文数: 3.7K
被引数: 5
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