• Title/Summary/Keyword: The continuity of the spectrum

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SPECTRAL CONTINUITY OF ESSENTIALLY p-HYPONORMAL OPERATORS

  • Kim, An-Hyun;Kwon, Eun-Young
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.389-393
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    • 2006
  • In this paper it is shown that the spectrum ${\sigma}$ is continuous at every p-hyponormal operator when restricted to the set of essentially p-hyponormal operators and moreover ${\sigma}$ is continuous when restricted to the set of compact perturbations of p-hyponormal operators whose spectral pictures have no holes associated with the index zero.

Mathematical Analysis Power Spectrum of M-ary MSK and Detection with Optimum Maximum Likelihood

  • Niu, Zheng;Jiang, Yuzhong;Jia, Shuyang;Huang, Zhi;Zou, Wenliang;Liu, Gang;Li, Yu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.8
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    • pp.2900-2922
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    • 2021
  • In this paper, the power spectral density(PSD) for Multilevel Minimum Shift Keyed signal with modulation index h = 1/2 (M-ary MSK) are derived using the mathematical method of the Markov Chain model. At first, according to an essential requirement of the phase continuity characteristics of MSK signals, a complete model of the whole process of signal generation is built. Then, the derivations for autocorrelation functions are carried out precisely. After that, we verified the correctness and accuracy of the theoretical derivation by comparing the derived results with numerical simulations using MATLAB. We also divided the spectrum into four components according to the derivation. By analyzing these figures in the graphic, each component determines the characteristics of the spectrum. It is vital for enhanced spectral characteristics. To more visually represent the energy concentration of the main flap and the roll-down speed of the side flap, the specific out-of-band power of M-ary MSK is given. OMLCD(Optimum Maximum Likelihood Coherent Detection) of M-ary MSK is adopted to compare the signal received with prepared in advance in a code element T to go for the best. And M-ary MSK BER(Bit Error Rate) is compared with the same ary PSK (Phase Shift Keying) with M=2,4,6,8. The results show the detection method could improve performance by increasing the length of L(memory inherent) in the phase continuity.

Spherical Harmonics Power-spectrum of Global Geopotential Field of Gaussian-bell Type

  • Cheong, Hyeong-Bin;Kong, Hae-Jin
    • Journal of the Korean earth science society
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    • v.34 no.5
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    • pp.393-401
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    • 2013
  • Spherical harmonics power spectrum of the geopotential field of Gaussian-bell type on the sphere was investigated using integral formula that is associated with Legendre polynomials. The geopotential field of Gaussian-bell type is defined as a function of sine of angular distance from the bell's center in order to guarantee the continuity on the global domain. Since the integral-formula associated with the Legendre polynomials was represented with infinite series of polynomial, an estimation method was developed to make the procedure computationally efficient while preserving the accuracy. The spherical harmonics power spectrum was shown to vary significantly depending on the scale parameter of the Gaussian bell. Due to the accurate procedure of the new method, the power (degree variance) spanning over orders that were far higher than machine roundoff was well explored. When the scale parameter (or width) of the Gaussian bell is large, the spectrum drops sharply with the total wavenumber. On the other hand, in case of small scale parameter the spectrum tends to be flat, showing very slow decaying with the total wavenumber. The accuracy of the new method was compared with theoretical values for various scale parameters. The new method was found advantageous over discrete numerical methods, such as Gaussian quadrature and Fourier method, in that it can produce the power spectrum with accuracy and computational efficiency for all range of total wavenumber. The results of present study help to determine the allowable maximum scale parameter of the geopotential field when a Gaussian-bell type is adopted as a localized function.

Comparison of the Dynamic Time Warping Algorithm for Spoken Korean Isolated Digits Recognition (한국어 단독 숫자음 인식을 위한 DTW 알고리즘의 비교)

  • 홍진우;김순협
    • The Journal of the Acoustical Society of Korea
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    • v.3 no.1
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    • pp.25-35
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    • 1984
  • This paper analysis the Dynamic Time Warping algorithms for time normalization of speech pattern and discusses the Dynamic Programming algorithm for spoken Korean isolated digits recognition. In the DP matching, feature vectors of the reference and test pattern are consisted of first three formant frequencies extracted by power spectrum density estimation algorithm of the ARMA model. The major differences in the various DTW algorithms include the global path constrains, the local continuity constraints on the path, and the distance weighting/normalization used to give the overall minimum distance. The performance criterias to evaluate these DP algorithms are memory requirement, speed of implementation, and recognition accuracy.

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STRUCTURAL AND SPECTRAL PROPERTIES OF k-QUASI-*-PARANORMAL OPERATORS

  • ZUO, FEI;ZUO, HONGLIANG
    • Korean Journal of Mathematics
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    • v.23 no.2
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    • pp.249-257
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    • 2015
  • For a positive integer k, an operator T is said to be k-quasi-*-paranormal if ${\parallel}T^{k+2}x{\parallel}{\parallel}T^kx{\parallel}{\geq}{\parallel}T^*T^kx{\parallel}^2$ for all x $\in$ H, which is a generalization of *-paranormal operator. In this paper, we give a necessary and sufficient condition for T to be a k-quasi-*-paranormal operator. We also prove that the spectrum is continuous on the class of all k-quasi-*-paranormal operators.

Removal of Radio Frequency Interference of 1.29 GHz Doppler Wind Profiler Radar (1.29 GHz 도플러 윈드프로파일러 스펙트럼에서 전파 간섭 신호 제거)

  • Lee, Kyung-Hun;Kwon, Byung-Hyuk;Kim, Yu-Jin
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.3
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    • pp.393-398
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    • 2022
  • During the test operation period of the wind profiler prototype, radio frequency interference (RFI) contamination occurred in the spectrum. The reference of the RFI that removed the algorithm appearing in the wind profiler spectrum were investigated, and a new algorithm was developed to remove the RFI. First, it was filtered with a threshold value of 0.1 m/s of the spectral width, and the range of the number of gates with the same radial velocity was determined according to whether the beam was a vertical beam or an oblique beam. RFI contamination was removed through filtering and scanning of non-weather signals, and the continuity of wind vectors calculated from the improved spectral radial velocity was verified.

The Impact of Customer Value on Relationship Continuity -Focusing on transaction value, relationship value, appraisal value- (기업 간 거래에서 고객가치가 거래지속성에 미치는 영향 -거래가치, 관계 가치, 평가적 가치를 중심으로-)

  • Kim, Hyang-Mi;Lee, So-Young
    • Journal of Digital Convergence
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    • v.14 no.9
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    • pp.123-132
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    • 2016
  • This study starts from the research question that "Why some companies decide to keep working in partnership even when they are not satisfied with the partner companies simply because they are old business partners." The authors try to find the answer in terms of customer value considering the phases of B2B transaction spectrum: transaction value, relationship value and appraisal value implementing empirical research. The result shows that the intension to retain the relation with an existing partner is formed by the trade-off between the benefit and cost of both contract value and relationship value and not the sole value was dominant. The unique point of the study is that current study is considering these two factors as dependent variables which affect the relationship continuity which is not the case in existing researches.

Effective Separation Method for Single-Channel Time-Frequency Overlapped Signals Based on Improved Empirical Wavelet Transform

  • Liu, Zhipeng;Li, Lichun;Li, Huiqi;Liu, Chang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.5
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    • pp.2434-2453
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    • 2019
  • To improve the separation performance of time-frequency overlapped radar and communication signals from a single channel, this paper proposes an effective separation method based on an improved empirical wavelet transform (EWT) that introduces a fast boundary detection mechanism. The fast boundary detection mechanism can be regarded as a process of searching, difference optimization, and continuity detection of the important local minima in the Fourier spectrum that enables determination of the sub-band boundary and thus allows multiple signal components to be distinguished. An orthogonal empirical wavelet filter bank that was designed for signal adaptive reconstruction is then used to separate the input time-frequency overlapped signals. The experimental results show that if two source components are completely overlapped within the time domain and the spectrum overlap ratio is less than 60%, the average separation performance is improved by approximately 32.3% when compared with the classic EWT; the proposed method also improves the suitability for multiple frequency shift keying (MFSK) and reduces the algorithm complexity.

Delay-Constrained Bottleneck Location Estimator and Its Application to Scalable Multicasting

  • Kim, Sang-Bum;Youn, Chan-Hyun
    • ETRI Journal
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    • v.22 no.4
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    • pp.1-12
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    • 2000
  • Designing a reliable multicast-based network that scales to the size of a multicast group member is difficult because of the diversity of user demands. The loss inferences of internal nodes by end-to-end measurements do not require the use of complete statistics because of the use of maximum likelihood estimation. These schemes are very efficient and the inferred value converges fast to its true value. In the theoretical analysis, internal delay estimation is possible but the analysis is very complex due to the continuity property of the delay. In this paper, we propose the use of a bottleneck location estimator. This can overcome the analytical difficulty of the delay estimation using the power spectrum of the packet interarrival time as the performance metric. Both theoretical analysis and simulation results show that the proposed scheme can be used for bottleneck location inference of internal links in scalable multicasting.

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Frequency Bin Alignment Using Covariance of Power Ratio of Separated Signals in Multi-channel FD-ICA (다채널 주파수영역 독립성분분석에서 분리된 신호 전력비의 공분산을 이용한 주파수 빈 정렬)

  • Quan, Xingri;Bae, Keunsung
    • Phonetics and Speech Sciences
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    • v.6 no.3
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    • pp.149-153
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    • 2014
  • In frequency domain ICA, the frequency bin permutation problem falls off the quality of separated signals. In this paper, we propose a new algorithm to solve the frequency bin permutation problem using the covariance of power ratio of separated signals in multi-channel FD-ICA. It makes use of the continuity of the spectrum of speech signals to check if frequency bin permutation occurs in the separated signal using the power ratio of adjacent frequency bins. Experimental results have shown that the proposed method could fix the frequency bin permutation problem in the multi-channel FD-ICA.