scholarly journals Construction of Bivariate Nonseparable Compactly Supported Orthogonal Wavelets

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Jinsong Leng ◽  
Tingzhu Huang ◽  
Carlo Cattani
Keyword(s):  
Scaling Functions ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Orthogonal Wavelets ◽  
Compactly Supported ◽  
Dilation Matrix ◽  
Accuracy Order ◽  
Low Pass ◽  
Accuracy Parameter

A method for constructing bivariate nonseparable compactly supported orthogonal scaling functions, and the corresponding wavelets, using the dilation matrixM:=2n𝕀=2n[1001],(d=detM=22n≥4,n∈ℕ)is given. The accuracy and smoothness of the scaling functions are studied, thus showing that they have the same accuracy order as the univariate Daubechies low-pass filterm0(ω), to be used in our method. There follows that the wavelets can be made arbitrarily smooth by properly choosing the accuracy parameterr.

CONSTRUCTION FOR A CLASS OF SMOOTH TIGHT FRAMES IN L2(ℝ2)

2007 ◽  
Vol 05 (04) ◽  
pp. 613-625 ◽  
Author(s):  
HAIHUI WANG ◽  
LIZHONG PENG
Keyword(s):  
Tight Frames ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Compactly Supported ◽  
Dilation Matrix ◽  
Low Pass ◽  
High Pass

We generalize the inequality |P(z)|2 + |P(-z)|2 ≤ 1 (Ref. 1) to the inequality |P(z1, z2)|2 + |P(-z1, z2)|2 + |P(z1, -z2)|2 + |P(-z1, -z2)|2 ≤ 1 in L2(ℝ2); and construct compactly supported tight frames with good symmetry and dilation matrix 2I under the condition that both the low-pass filter and high-pass filters are unknown.

Design of Programmable Wideband Low Pass Filter with Continuous-Time/Discrete-Time Hybrid Architecture

2017 ◽  
Vol E100.C (10) ◽  
pp. 858-865 ◽  
Author(s):  
Yohei MORISHITA ◽  
Koichi MIZUNO ◽  
Junji SATO ◽  
Koji TAKINAMI ◽  
Kazuaki TAKAHASHI
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Hybrid Architecture ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Low Pass

ANALYSIS AND IMPROVEMENT TECHNIQUES FOR THE TRANSFER FUNCTION OF A PLANAR LOW - PASS FILTER

2016 ◽  
Vol 15 (12) ◽  
pp. 2579-2586
Author(s):  
Adina Racasan ◽  
Calin Munteanu ◽  
Vasile Topa ◽  
Claudia Pacurar ◽  
Claudia Hebedean
Keyword(s):  
Transfer Function ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Low Pass

scholarly journals Simulating Elliptic Low-pass Filter based on MOCCCII

2020 ◽  
Vol 965 ◽  
pp. 012037
Author(s):  
Nanan Chomnak ◽  
Siradanai Srisamranrungrueang ◽  
Natapong Wongprommoon
Keyword(s):  
Pass Filter ◽  
Low Pass Filter ◽  
Low Pass

scholarly journals Noise-Reducing Fabric Electrode for ECG Measurement

Sensors ◽  
2021 ◽  
Vol 21 (13) ◽  
pp. 4305
Author(s):  
Takamasa Terada ◽  
Masahiro Toyoura ◽  
Takahide Sato ◽  
Xiaoyang Mao
Keyword(s):  
Special Structure ◽  
Electrode Impedance ◽  
Electrode Structure ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Chip Type ◽  
Low Pass ◽  
Filter Fabric

In this work, we propose a fabric electrode with a special structure that can play the role of a noise reduction filter. Fabric electrodes made of the conductive fabric have been used for long-term ECG measurements because of their flexibility and non-invasiveness; however, due to the large impedance between the skin and the fabric electrodes, noise is easily introduced into the ECG signal. In contrast to conventional work, in which chip-type passive elements are glued to the electrode to reduce noise, the proposed electrode can obtain a noise-reduced ECG by changing the structure of fabric. Specifically, the proposed electrode was folded multiple times to form a capacitor with a capacitance of about 3 nF. It is combined with the skin-electrode impedance to form a low-pass filter. In the experiment, we made a prototype of the electrodes and measured ECG at rest and during EMG-induced exercise. As a result, the SNR values at rest and during exercise were improved about 12.02 and 10.29 , respectively, compared with the fabric electrode without special structure. In conclusion, we have shown that changing the fabric electrode structure effectively removes noise in ECG measurement.

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