• Title/Summary/Keyword: a sparse matrix

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Demodulation and Performance of Multicomponent Undersampled AM, FM and AM-FM Signals (다중 성분의 저표본화된 AM, FM 및 AM-FM 신호들의 복조와 성능)

  • Son, Tae-Ho;Hwang, Ui-Cheon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.7
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    • pp.399-406
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    • 2000
  • We propose an nonlinear demodulation algorithm for undersampled multicomponent AM(Amplitude Modulation), FM(Frequency Modulation) and AM-FM signals. First, we derive respectively undersampling frequency of the AM, FM and AM-FM using undersampling scheme, and separate respectively monocomponent signals from multicomponent signals using periodic algebraic separation algorithm. In this case augmented separation matrix is very regular and sparse, it has a special structure. The proposed demodulation algorithm detects respectively message signals of the IA(Instantaneous Amplitude) and IF(Instantaneous Frequency) from descrete monocomponent AM, FM and AM-FM signals with an undersampling frequency to be controllable. Verifying the RMS(Root Mean Squares) errors of the detected signals, we show that the performance is excellent.

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A Signal Separation Method Based on Sparsity Estimation of Source Signals and Non-negative Matrix Factorization (음원 희소성 추정 및 비음수 행렬 인수분해 기반 신호분리 기법)

  • Hong, Serin;Nam, Siyeon;Yun, Deokgyu;Choi, Seung Ho
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2017.11a
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    • pp.202-203
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    • 2017
  • 비음수 행렬 인수분해(Non-negative Matrix Factorization, NMF)의 신호분리 성능을 개선하기 위해 희소조건을 인가한 방법이 희소 비음수 행렬 인수분해 알고리즘(Sparse NMF, SNMF)이다. 기존의 SNMF 알고리즘은 개별 음원의 희소성을 고려하지 않고 임의로 결정한 희소 조건을 사용한다. 본 논문에서는 음원의 특성에 따른 희소성을 추정하고 이를 SNMF 학습알고리즘에 적용하는 새로운 신호분리 기법을 제안한다. 혼합 신호에서의 잡음제거 실험을 통해, 제안한 방법이 기존의 NMF와 SNMF에 비해 성능이 더 우수함을 보였다.

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Wind velocity simulation of spatial three-dimensional fields based on autoregressive model

  • Gao, Wei-Cheng;Yu, Yan-Lei
    • Wind and Structures
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    • v.11 no.3
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    • pp.241-256
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    • 2008
  • This paper adopts autoregressive (AR) model to simulate the wind velocity of spatial three-dimensional fields in accordance with the time and space dependent characteristics of the 3-D fields. Based on the built MATLAB programming, this paper discusses in detail the issues of the AR model deduced by matrix form in the simulation and proposes the corresponding solving methods: the over-relaxation iteration to solve the large sparse matrix equations produced by large number of degrees of freedom of structures; the improved Gauss formula to calculate the numerical integral equations which integral functions contain oscillating functions; the mixed congruence and central limit theorem of Lindberg-Levy to generate random numbers. This paper also develops a method of ascertaining the rank of the AR model. The numerical examples show that all those methods are stable and reliable, which can be used to simulate the wind velocity of all large span structures in civil engineering.

Pipe Network Analysis by Using Frontal Solution Method (Frontal 기법을 이용한 상수관망의 흐름해석 모형)

  • 박재홍;한건연
    • Water for future
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    • v.29 no.1
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    • pp.141-150
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    • 1996
  • Steady state analysis of pressure and flow in water supply piping systems is a problem of great importance in hydraulic engineering. The basic equations consist of continuity equation and energy equation. The network equations are solved iteratively by using linear solution method. The resulting linear simultaneous equations are solved by frontal method. Frontal method, which is suitable to sparse matrix, gathers only non-zero entries in coefficient matrix. The suggested methodology can analyze faster than the existing routines by using smaller computer memory. The model presented in this study shows accurate and efficient results for various piping systems.

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Multi-Description Image Compression Coding Algorithm Based on Depth Learning

  • Yong Zhang;Guoteng Hui;Lei Zhang
    • Journal of Information Processing Systems
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    • v.19 no.2
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    • pp.232-239
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    • 2023
  • Aiming at the poor compression quality of traditional image compression coding (ICC) algorithm, a multi-description ICC algorithm based on depth learning is put forward in this study. In this study, first an image compression algorithm was designed based on multi-description coding theory. Image compression samples were collected, and the measurement matrix was calculated. Then, it processed the multi-description ICC sample set by using the convolutional self-coding neural system in depth learning. Compressing the wavelet coefficients after coding and synthesizing the multi-description image band sparse matrix obtained the multi-description ICC sequence. Averaging the multi-description image coding data in accordance with the effective single point's position could finally realize the compression coding of multi-description images. According to experimental results, the designed algorithm consumes less time for image compression, and exhibits better image compression quality and better image reconstruction effect.

Design of the Adaptive Systolic Array Architecture for Efficient Sparse Matrix Multiplication (희소 행렬 곱셈을 효율적으로 수행하기 위한 유동적 시스톨릭 어레이 구조 설계)

  • Seo, Juwon;Kong, Joonho
    • Proceedings of the Korea Information Processing Society Conference
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    • 2022.11a
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    • pp.24-26
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    • 2022
  • 시스톨릭 어레이는 DNN training 등 인공지능 연산의 대부분을 차지하는 행렬 곱셈을 수행하기 위한 하드웨어 구조로 많이 사용되지만, sparsity 가 높은 행렬을 연산할 때 불필요한 동작으로 인해 효율성이 크게 떨어진다. 본 논문에서 제안된 유동적 시스톨릭 어레이는 matrix condensing, weight switching, 그리고 direct output path 의 방법과 구조를 통해 sparsity 가 높은 행렬 곱셈의 수행 사이클을 줄일 수 있다. 시뮬레이션을 통해 기존 시스톨릭 어레이와 유동적 시스톨릭 어레이의 성능을 비교하였으며 8×8, 16×16, 32×32 의 크기를 가진 행렬을 동일 크기의 시스톨릭 어레이로 연산하였을 때 필요 사이클 수를 최대 12 사이클 절감할 수 있는 것을 확인하였다.

Study on Multiple sparse matrix-matrix multiplication hardware accelerator (다중 희소 행렬-행렬 곱셈 하드웨어 가속기 연구)

  • Tae-Hyoung Kim;Yeong-Pil Cho
    • Proceedings of the Korea Information Processing Society Conference
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    • 2024.05a
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    • pp.47-50
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    • 2024
  • 희소 행렬은 대부분의 요소가 0 인 행렬이다. 이러한 희소 행렬-행렬 곱셈을 수행할 경우 0 인 데이터 또한 곱셈을 수행하니 불필요한 연산이 발생한다. 이러한 문제를 해결하고자 행렬 압축 알고리즘 또는 곱셈의 부분합의 수를 줄이는 연구들이 활발히 진행 중이다. 하지만 현재의 연구들은 주로 단일 행렬 연산에 집중되어 있어 FPGA(Field Programmable Gate Array)와 특정 용도로 사용하는 가속기에서는 리소스를 충분히 활용하지 못해 비효율적이다. 본 연구는 FPGA 의 모든 리소스를 사용하여 다중 희소 행렬 곱셈을 수행하는 아키텍처를 제안한다.

Effective Pre-rating Method Based on Users' Dichotomous Preferences and Average Ratings Fusion for Recommender Systems

  • Cheng, Shulin;Wang, Wanyan;Yang, Shan;Cheng, Xiufang
    • Journal of Information Processing Systems
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    • v.17 no.3
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    • pp.462-472
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    • 2021
  • With an increase in the scale of recommender systems, users' rating data tend to be extremely sparse. Some methods have been utilized to alleviate this problem; nevertheless, it has not been satisfactorily solved yet. Therefore, we propose an effective pre-rating method based on users' dichotomous preferences and average ratings fusion. First, based on a user-item ratings matrix, a new user-item preference matrix was constructed to analyze and model user preferences. The items were then divided into two categories based on a parameterized dynamic threshold. The missing ratings for items that the user was not interested in were directly filled with the lowest user rating; otherwise, fusion ratings were utilized to fill the missing ratings. Further, an optimized parameter λ was introduced to adjust their weights. Finally, we verified our method on a standard dataset. The experimental results show that our method can effectively reduce the prediction error and improve the recommendation quality. As for its application, our method is effective, but not complicated.

A Generalized Multicarrier Communication System - Part III: Dual Symbol Superposition Block Carrier Transmission with Frequency Domain Equalization

  • Imran Ali
    • International Journal of Computer Science & Network Security
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    • v.24 no.9
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    • pp.41-49
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    • 2024
  • This paper proposes dual symbol superposition block carrier transmission with frequency domain equalization (DSS-FDE) system. This system is based upon χ-transform matrix, which is obtained by concatenation of discrete Hartley transform (DHT) matrix and discrete Fourier transform (DFT) matrices into single matrix that is remarkably sparse, so that, as it will be shown in this paper, it only has non-zero entries on its principal diagonal and one below the principle anti-diagonal, giving it shape of Latin alphabet χ. When multiplied with constellation mapped complex transmit vector, each entry of resultant vector is weighted superposition of only two entries of original vector, as opposed to all entries in conventional DFT based OFDM. Such a transmitter is close to single carrier block transmission with frequency domain equalization (SC-FDE), which is known to have no superposition. The DSS-FDE offers remarkable simplicity in transmitter design and yields great benefits in reduced complexity and low PAPR. At receiver-end, it offers the ability to harvest full diversity from multipath fading channel, full coding gain, with significant bit error rate (BER) improvement. These results will be demonstrated using both analytical expressions, as well as simulation results. As will be seen, this paper is Part III of three-paper series on alternative transforms for multicarrier communication (MC) systems.

Determination of Parameter Value in Constraint of Sparse Spectrum Fitting DOA Estimation Algorithm (희소성 스펙트럼 피팅 도래각 추정 알고리즘의 제한조건에 포함된 상수 결정법)

  • Cho, Yunseung;Paik, Ji-Woong;Lee, Joon-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.8
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    • pp.917-920
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    • 2016
  • SpSF algorithm is direction-of-arrival estimation algorithm based on sparse representation of incident signlas. Cost function to be optimized for DOA estimation is multi-dimensional nonlinear function, which is hard to handle for optimization. After some manipulation, the problem can be cast into convex optimiztion problem. Convex optimization problem tuns out to be constrained optimization problem, where the parameter in the constraint has to be determined. The solution of the convex optimization problem is dependent on the specific parameter value in the constraint. In this paper, we propose a rule-of-thumb for determining the parameter value in the constraint. Based on the fact that the noise in the array elements is complex Gaussian distributed with zero mean, the average of the Frobenius norm of the matrix in the constraint can be rigorously derived. The parameter in the constrint is set to be two times the average of the Frobenius norm of the matrix in the constraint. It is shown that the SpSF algorithm actually works with the parameter value set by the method proposed in this paper.