• Title/Summary/Keyword: Discrete Signal

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Bandpass Discrete Prolate Spheroidal Sequences and Its Applications to Signal Representation and Interpolation

  • Oh, Jin-Sung
    • Journal of the Institute of Convergence Signal Processing
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    • v.14 no.2
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    • pp.70-76
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    • 2013
  • In this paper, we propose the bandpass form of discrete prolate spheroidal sequences(DPSS) which have the maximal energy concentration in a given passband and as such are very appropriate to obtain a projection of signals. The basic properties of the bandpass DPSS are also presented. Assuming a signal satisfies the finite time support and the essential band-limitedness conditions with a known center frequency, signal representation and interpolation techniques for band-limited signals using the bandpass DPSS are introduced where the reconstructed signal has minimal out-of-band energy. Simulation results are given to present the usefulness of the bandpass DPSS for efficient representation of band-limited signal.

Modeling and Control of Intersection Network using Real-Time Fuzzy Temporal Logic Framework (실시간 퍼지 시간논리구조를 이용한 교차로 네트워크의 모델링과 제어)

  • Kim, Jung-Chul;Lee, Won-Hyok;Kim, Jin-Kwon
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.4
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    • pp.352-357
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    • 2007
  • This paper deals with modeling method and application of Fuzzy Discrete Event System(FDES). FDES have characteristics which Crisp Discrete Event System(CDES) can't deals with and is constituted with the events that is determined by vague and uncertain judgement like biomedical or traffic control. We proposed Real-time Fuzzy Temporal Logic Framework(RFTLF) to model Fuzzy Discrete Event System. It combines Temporal Logic Framework with Fuzzy Theory. We represented the model of traffic signal systems for intersection to have the property of Fuzzy Discrete Event System with Real-time Fuzzy Temporal Logic Framework and designed a traffic signal controller for smooth traffic flow. Moreover, we proposed the method to find the minimum-time route to reach the desired destination with information obtained in each intersection. In order to evaluate the performance of Real-time Fuzzy Temporal Logic Framework model proposed in this paper, we simulated unit-time extension traffic signal controller model of the latest signal control method on the same condition.

Small Signal Modeling for the PWM Series Resonant Converter (PWM-SRC) (펄스-폭 변조방식의 직렬공진 컨버터의 소신호 모델링)

  • Choi, Hyun-Chil
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.11
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    • pp.1441-1447
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    • 1999
  • A discrete time domain modeling is presented for the pulse-width modulated series resonant converter (PWM-SRC) with a discontinuous current mode. This nonlinear system is linearized about its equilibrium state to obtain a linear discrete time model for the investigation of small signal performances such as the stability and transient response. The usefulness of this small signal model is verified through the dynamic simulation.

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Denoising Algorithm using Wavelet (웨이브렛을 이용한 잡음 제거 알고리즘)

  • 배상범;김남호
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.6 no.8
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    • pp.1139-1145
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    • 2002
  • Wavelet transformed data can filter signal with each frequency band, because it includes detail information about original signal. Therefore, in this paper, important two noises were removed by wavelet. About AWGN environment UDWT(undecimated discrete wavelet transform), applying hard-threshold, was used and about impulse noise environment, it can be possible to recognize edge of original signal as well as superior denoising effect by using two methods, denoising by threshold and slope of signal by wavelet. SNR was used as a judgemental criterion of a denoising effect and Blocks and DTMF(dual tone multi frequency) were used as a test signal.

A Consideration on the Applicability of the Discrete-Time Models of Linearly Time-Varying Systems to Digital Signal Processing (선형 시변 시스템에서의 이산 시간 모델의 신호처리 적용성 고찰)

  • Kwon, Soon-Man;Lee, Jong-Moo;Park, Min-Kook;Kim, Choon-Kyung;Cheon, Jong-Min
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.267-269
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    • 2005
  • This paper describes a consideration on the sampling in linearly time-varying (LTV) systems in view of the convenience in digital signal processing. The relation between a continuous-time and a discrete-time system models is investigated for a simple linear time-invariant system. Based on the results of the investigation, we first consider discrete-time models for LTV systems, Then the simplicity of the models in terms of microprocessor-based digital signal processing is compared.

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A high reliable optical image encryption system which combined discrete chaos function with permutation algorithm (이산 카오스 함수와 Permutation Algorithm을 결합한 고신뢰도 광영상 암호시스템)

  • 박종호
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.9 no.4
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    • pp.37-48
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    • 1999
  • Current encryption methods have been applied to secure communication using discrete chaotic system whose output is a noise-like signal which differs from the conventional encryption methods that employ algebra and number theory[1-2] We propose an optical encryption method that transforms the primary pattern into the image pattern of discrete chaotic function first a primary pattern is encoded using permutation algorithm, In the proposed system we suggest the permutation algorithm using the output of key steam generator and its security level is analyzed. In this paper we worked out problem of the application about few discrete chaos function through a permutation algorithm and enhanced the security level. Experimental results with image signal demonstrate the proper of the implemented optical encryption system.

New Discrete-time Small Signal Model of Average Current Mode Control for Current Response Prediction (평균전류모드제어의 전류응답예측을 위한 새로운 이산시간 소신호 모델)

  • Jung Young-Seok
    • The Transactions of the Korean Institute of Power Electronics
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    • v.10 no.3
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    • pp.219-225
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    • 2005
  • In this paper, a new discrete-time small signal model of an average current mode control is proposed to predict the inductor current responses. Compared to the peak current mode control, the analysis of the average current mode control is difficult because of its presence of an compensation network. By utilizing sampler model, a new discrete-time small signal model is derived and used to predict the behaviors of an inductor current of average current mode control employing generalized compensation networks. In order to show the usefulness of the proposed model, prediction results of the proposed model are compared to those of the circuit level simulator, PSIM and experiment.

Digital Image Processing Using Tunable Q-factor Discrete Wavelet Transformation (Q 인자의 조절이 가능한 이산 웨이브렛 변환을 이용한 디지털 영상처리)

  • Shin, Jong Hong
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.10 no.3
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    • pp.237-247
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    • 2014
  • This paper describes a 2D discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the image signal to which it is applied. The tunable Q-factor wavelet transform (TQWT) is a fully-discrete wavelet transform for which the Q-factor, Q, of the underlying wavelet and the asymptotic redundancy (over-sampling rate), r, of the transform are easily and independently specified. In particular, the specified parameters Q and r can be real-valued. Therefore, by tuning Q, the oscillatory behavior of the wavelet can be chosen to match the oscillatory behavior of the signal of interest, so as to enhance the sparsity of a sparse signal representation. The TQWT is well suited to fast algorithms for sparsity-based inverse problems because it is a Parseval frame, easily invertible, and can be efficiently implemented. The TQWT can also be used as an easily-invertible discrete approximation of the continuous wavelet transform. The transform is based on a real valued scaling factor (dilation-factor) and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. The transform is parameterized by its Q-factor and its oversampling rate (redundancy), with modest oversampling rates (e. g. 3-4 times overcomplete) being sufficient for the analysis/synthesis functions to be well localized. Therefore, This method services good performance in image processing fields.

A Reconsideration of the Causality Requirement in Proving the z-Transform of a Discrete Convolution Sum (이산 Convolution 적산의 z변환의 증명을 위한 인과성의 필요에 대한 재고)

  • Chung Tae-Sang;Lee Jae Seok
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.1
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    • pp.51-54
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    • 2003
  • The z-transform method is a basic mathematical tool in analyzing and designing digital signal processing systems for discrete input and output signals. There are may cases where the output signal is in the form of a discrete convolution sum of an input function and a designed digital processing algorithm function. It is well known that the z-transform of the convolution sum becomes the product of the two z-transforms of the input function and the digital processing function, whose proofs require the causality of the digital signal processing function in the almost all the available references. However, not all of the convolution sum functions are based on the causality. Many digital signal processing systems such as image processing system may depend not on the time information but on the spatial information, which has nothing to do with causality requirement. Thus, the application of the causality-based z-transform theorem on the convolution sum cannot be used without difficulty in this case. This paper proves the z-transform theorem on the discrete convolution sum without causality requirement, and make it possible for the theorem to be used in analysis and desing for any cases.

DCT and DWT Based Robust Audio Watermarking Scheme for Copyright Protection

  • Deb, Kaushik;Rahman, Md. Ashikur;Sultana, Kazi Zakia;Sarker, Md. Iqbal Hasan;Chong, Ui-Pil
    • Journal of the Institute of Convergence Signal Processing
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    • v.15 no.1
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    • pp.1-8
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    • 2014
  • Digital watermarking techniques are attracting attention as a proper solution to protect copyright for multimedia data. This paper proposes a new audio watermarking method based on Discrete Cosine Transformation (DCT) and Discrete Wavelet Transformation (DWT) for copyright protection. In our proposed watermarking method, the original audio is transformed into DCT domain and divided into two parts. Synchronization code is applied on the signal in first part and 2 levels DWT domain is applied on the signal in second part. The absolute value of DWT coefficient is divided into arbitrary number of segments and calculates the energy of each segment and middle peak. Watermarks are then embedded into each middle peak. Watermarks are extracted by performing the inverse operation of watermark embedding process. Experimental results show that the hidden watermark data is robust to re-sampling, low-pass filtering, re-quantization, MP3 compression, cropping, echo addition, delay, and pitch shifting, amplitude change. Performance analysis of the proposed scheme shows low error probability rates.