Junnosuke HOSHIDO Tonan KAMATA Tsutomu ANSAI Ryuhei UEHARA
Shin-ichi NAKANO
Shang LU Kohei HATANO Shuji KIJIMA Eiji TAKIMOTO
Lin ZHOU Yanxiang CAO Qirui WANG Yunling CHENG Chenghao ZHUANG Yuxi DENG
Zhen WANG Longye WANG
Naohiro TODA Tetsuya NAKAGAMI
Haijun Wang Tao Hu Dongdong Chen Huiwei Yao Runze He Di Wu Zhifu Tian
Jianqiang NI Gaoli WANG Yingxin LI Siwei SUN
Rui CHENG Yun JIANG Qinglin ZHANG Qiaoqiao XIA
Ren TOGO Rintaro YANAGI Masato KAWAI Takahiro OGAWA Miki HASEYAMA
Naoki TATTA Yuki SAKATA Rie JINKI Yuukou HORITA
Kundan LAL DAS Munehisa SEKIKAWA Naohiko INABA
Menglong WU Tianao YAO Zhe XING Jianwen ZHANG Yumeng LIN
Jian ZHANG Zhao GUANG Wanjuan SONG Zhiyan XU
Shinya Matsumoto Daiki Ikemoto Takuya Abe Kan Okubo Kiyoshi Nishikawa
Kazuki HARADA Yuta MARUYAMA Tomonori TASHIRO Gosuke OHASHI
Zezhong WANG Masayuki SHIMODA Atsushi TAKAHASHI
Pierpaolo AGAMENNONE
Jianmao XIAO Jianyu ZOU Yuanlong CAO Yong ZHOU Ziwei YE Xun SHAO
Kazumasa ARIMURA Ryoichi MIYAUCHI Koichi TANNO
Shinichi NISHIZAWA Shinji KIMURA
Zhe LIU Wu GUAN Ziqin YAN Liping LIANG
Shuichi OHNO Shenjian WANG Kiyotsugu TAKABA
Yindong CHEN Wandong CHEN Dancheng HUANG
Xiaohe HE Zongwang LI Wei HUANG Junyan XIANG Chengxi ZHANG Zhuochen XIE Xuwen LIANG
Conggai LI Feng LIU Yingying LI Yanli XU
Siwei Yang Tingli Li Tao Hu Wenzhi Zhao
Takahiro FUJITA Kazuyuki WADA
Kazuma TAKA Tatsuya ISHIKAWA Kosei SAKAMOTO Takanori ISOBE
Quang-Thang DUONG Kohei MATSUKAWA Quoc-Trinh VO Minoru OKADA
Sihua LIU Xiaodong ZHU Kai KANG Li WAN Yong WANG
Kazuya YAMAMOTO Nobukazu TAKAI
Yasuhiro Sugimoto Nobukazu Takai
Ho-Lim CHOI
Weibang DAI Xiaogang CHEN Houpeng CHEN Sannian SONG Yichen SONG Shunfen LI Tao HONG Zhitang SONG
Duo Zhang Shishan Qi
Young Ghyu Sun Soo Hyun Kim Dong In Kim Jin Young Kim
Hongbin ZHANG Ao ZHAN Jing HAN Chengyu WU Zhengqiang WANG
Yuli YANG Jianxin SONG Dan YU Xiaoyan HAO Yongle CHEN
Kazuki IWAHANA Naoto YANAI Atsuo INOMATA Toru FUJIWARA
Rikuto KURAHARA Kosei SAKAMOTO Takanori ISOBE
Elham AMIRI Mojtaba JOODAKI
Qingqi ZHANG Xiaoan BAO Ren WU Mitsuru NAKATA Qi-Wei GE
Jiaqi Wang Aijun Liu Changjun Yu
Ruo-Fei Wang Jia Zhang Jun-Feng Liu Jing-Wei Tang
Yingnan QI Chuhong TANG Haiyang LIU Lianrong MA
Yi XIONG Senanayake THILAK Daisuke ARAI Jun IMAOKA Masayoshi YAMAMOTO
Zhenhai TAN Yun YANG Xiaoman WANG Fayez ALQAHTANI
Chenrui CHANG Tongwei LU Feng YAO
Takuma TSUCHIDA Rikuho MIYATA Hironori WASHIZAKI Kensuke SUMOTO Nobukazu YOSHIOKA Yoshiaki FUKAZAWA
Shoichi HIROSE Kazuhiko MINEMATSU
Toshimitsu USHIO
Yuta FUKUDA Kota YOSHIDA Takeshi FUJINO
Qingping YU Yuan SUN You ZHANG Longye WANG Xingwang LI
Qiuyu XU Kanghui ZHAO Tao LU Zhongyuan WANG Ruimin HU
Lei Zhang Xi-Lin Guo Guang Han Di-Hui Zeng
Meng HUANG Honglei WEI
Yang LIU Jialong WEI Shujian ZHAO Wenhua XIE Niankuan CHEN Jie LI Xin CHEN Kaixuan YANG Yongwei LI Zhen ZHAO
Ngoc-Son DUONG Lan-Nhi VU THI Sinh-Cong LAM Phuong-Dung CHU THI Thai-Mai DINH THI
Lan XIE Qiang WANG Yongqiang JI Yu GU Gaozheng XU Zheng ZHU Yuxing WANG Yuwei LI
Jihui LIU Hui ZHANG Wei SU Rong LUO
Shota NAKAYAMA Koichi KOBAYASHI Yuh YAMASHITA
Wataru NAKAMURA Kenta TAKAHASHI
Chunfeng FU Renjie JIN Longjiang QU Zijian ZHOU
Masaki KOBAYASHI
Shinichi NISHIZAWA Masahiro MATSUDA Shinji KIMURA
Keisuke FUKADA Tatsuhiko SHIRAI Nozomu TOGAWA
Yuta NAGAHAMA Tetsuya MANABE
Baoxian Wang Ze Gao Hongbin Xu Shoupeng Qin Zhao Tan Xuchao Shi
Maki TSUKAHARA Yusaku HARADA Haruka HIRATA Daiki MIYAHARA Yang LI Yuko HARA-AZUMI Kazuo SAKIYAMA
Guijie LIN Jianxiao XIE Zejun ZHANG
Hiroki FURUE Yasuhiko IKEMATSU
Longye WANG Lingguo KONG Xiaoli ZENG Qingping YU
Ayaka FUJITA Mashiho MUKAIDA Tadahiro AZETSU Noriaki SUETAKE
Xingan SHA Masao YANAGISAWA Youhua SHI
Jiqian XU Lijin FANG Qiankun ZHAO Yingcai WAN Yue GAO Huaizhen WANG
Sei TAKANO Mitsuji MUNEYASU Soh YOSHIDA Akira ASANO Nanae DEWAKE Nobuo YOSHINARI Keiichi UCHIDA
Kohei DOI Takeshi SUGAWARA
Yuta FUKUDA Kota YOSHIDA Takeshi FUJINO
Mingjie LIU Chunyang WANG Jian GONG Ming TAN Changlin ZHOU
Hironori UCHIKAWA Manabu HAGIWARA
Atsuko MIYAJI Tatsuhiro YAMATSUKI Tomoka TAKAHASHI Ping-Lun WANG Tomoaki MIMOTO
Kazuya TANIGUCHI Satoshi TAYU Atsushi TAKAHASHI Mathieu MOLONGO Makoto MINAMI Katsuya NISHIOKA
Masayuki SHIMODA Atsushi TAKAHASHI
Yuya Ichikawa Naoko Misawa Chihiro Matsui Ken Takeuchi
Katsutoshi OTSUKA Kazuhito ITO
Rei UEDA Tsunato NAKAI Kota YOSHIDA Takeshi FUJINO
Motonari OHTSUKA Takahiro ISHIMARU Yuta TSUKIE Shingo KUKITA Kohtaro WATANABE
Iori KODAMA Tetsuya KOJIMA
Yusuke MATSUOKA
Yosuke SUGIURA Ryota NOGUCHI Tetsuya SHIMAMURA
Tadashi WADAYAMA Ayano NAKAI-KASAI
Li Cheng Huaixing Wang
Beining ZHANG Xile ZHANG Qin WANG Guan GUI Lin SHAN
Soh YOSHIDA Nozomi YATOH Mitsuji MUNEYASU
Ryo YOSHIDA Soh YOSHIDA Mitsuji MUNEYASU
Nichika YUGE Hiroyuki ISHIHARA Morikazu NAKAMURA Takayuki NAKACHI
Ling ZHU Takayuki NAKACHI Bai ZHANG Yitu WANG
Toshiyuki MIYAMOTO Hiroki AKAMATSU
Yanchao LIU Xina CHENG Takeshi IKENAGA
Kengo HASHIMOTO Ken-ichi IWATA
Hiroshi FUJISAKI
Tota SUKO Manabu KOBAYASHI
Akira KAMATSUKA Koki KAZAMA Takahiro YOSHIDA
Manabu HAGIWARA
Ushio YAMAMOTO Eun-Seok LEE Norio SHIRATORI
In this paper, we discuss both effective approaches in specification process, formal specification and reuse, and focus on providing an integrated and systematic supportbased on them. Preparing the specification model which mediates an image of the designer and another representation of it in formal method, the designer can specify the target system incrementally and smoothly. As for the specification model, we employ LTS on the early step of specification process because of its understandability for the designer. Moreover, reuse of specification leads to reduction of the cost and time, defining retrieval mechanism of reusable cases from database by mathematically calculating similarity of them. For the reuse mechanism, we define a new concept of similarity on LTS as the criterion of case retrieval, which enables more flexible matching between the besigner's requirement and the existing case than any other traditional schema on LTS, and show the case retrieval algorithm. Integration of two approaches brings us the great improvement of the productivity on system development.
Toshihiko ANDO Kaoru TAKAHASHI Yasushi KATO
We present a topological framework of stepwise specification for concurrent systems in this paper. Some of description techniques can make topologies on the system space. Such topologies corresponds to abstract levels of those description techniques. Using a family of such description techniques, one can specify systems stepwisely. This framework allows to bridge various DTs and modularizing, so that global properties and module properties of systems become to be related to each other. Within this framework, we show derivation of a LOTOS cpecification from temporal logic formulae. An extended version of LOTOS with respect to concurrency is used in this paper. A semantics including concurrency is introduced to do this in this method. The method presented in this paper is applied to mobile telecommunication.
Shigetomo KIMURA Yoshihiko EBIHARA
Fairness is one of the important notion for programming language, such as process algebras like CCS, that includes concurrency (or parallelism) and nondeterminism. This ensures that while repeatedly choosing among a set of alternatives, no alternative will be postponed forever. However, the fairness does not mention at what frequency these alternatives are selected. In this paper, we propose a quantitative fairness, which is called economic-oriented fairness, to each alternatives. This fairness ensures that the expected number of selection for each alternatives are same. We give a condition for probability assignment of selection of each alternative to be satisfied for economic-oriented fairness. First we show a simple probability assignment rule. In this assignment, between any two alternatives, if an alternative is selected n times and the other m times then the probability to select the former alternative is (m + 1)/(n + 1) times the probability for the latter. We prove that this assignment satisfies the condition of economic-oriented fairness. For a model of the economic-oriented fairness, we adopt a probabilistic process algebra. Finally, we elaborate with two process models of the economic-oriented fairness. The first one is a server and client model, where each client communicates only with the server, but not among them. In this model, the expected number of communication by each client are equal. The second model considers communication between two processes. In practice, a process has several subprocesses. Each subprocess communicates via a communication port, In the second model, there is economic-oriented fairness where the expected number of communications via each communication port are equal.
Keiko TAKAHASHI Masayuki YAMAMURA Shigenobu KOBAYASHI
In this paper we present an efficient method to solve reachability problems for Petri nets based on genetic algorithms and a kind of random search which is called postpone search. Genetic algorithm is one of algorithms developed for solving several problems of optimization. We apply GAs and postpone search to approximately solving reachability problems. This approach can not determine exact solutions, however, from applicability points of view, does not directly face state space explosion problems and can extend class of Petri nets to deal with very large state space in reasonable time. First we describe how to represent reachability problems on each of GAs and postpone search. We suppose the existence of a nonnegative parickh vector which satisfies the necessary reachability condition. Possible firing sequences of transitions induced by the parickh vector is encoded on GAs. We also define fitness function to solve reachability problems. Reachability problems can be interpreted as an optimization ones on GAs. Next we introduce random reachability problems which are capable of handling state space and the number of firing sequences which enable to reach a target marking from an initial marking. State space and the number of firing sequences are considered as factors which effect on the hardness of reachability problems to solve with stochastic methods. Furthermore, by using those random reachability problems and well known dining philosophers problems as benchmark problems, we compare GAs' performance with the performance of postpone search. Finally we present empirical results that GAa is more useful method than postpone search for solving more harder reachability problems from the both points of view;
Qun JIN Yoneo YANO Yoshio SUGASAWA
We develop a new class of stochastic Petri net: non-regenerative stochastic Petri net (NRSPN), which allows the firing time of its transitions with arbitrary distributions, and can automatically generate a bounded reachability graph that is equivalent to a generalization of the Markov renewal process in which some of the states may not constitute regeneration points. Thus, it can model and analyze behavior of a system whose states include some non-regeneration points. We show how to model a system by the NRSPN, and how to obtain numerical solutions for the NRSPN model. The probabilistic behavior of the modeled system can be clarified with the reliability measures such as the steady-state probability, the expected numbers of visits to each state per unit time, availability, unavailability and mean time between system failure. Finally, to demonstrate the modeling ability and analysis power of the NRSPN model, we present an example for a fault-tolerant system using the NRSPN and give numerical results for specific distributions.
Petri net is a graphical and mathematical modeling tool for discrete event systems. This paper treats analysis problems for Petri nets under the earliest firing rule. Under this firing rule, transitions must fire as soon as they are enabled. Marked Petri nets under the earliest firing rule are called earliest firing systems, for short. First, some relations in analysis problems between the earliest and the normal firing systems are discussed. These problems include deadlock freedom, boundedness, persistency and liveness. Then, relations among three types of reachability are considered from the viewpoint of the earliest firing rule. Since earliest firing systems can simulate register machines, they have equivalent modeling powers to Turing machines. It suggests, however, that most of the analysis problems of earliest firing systems with general net structures are undecidable. In this paper, net structures are restricted to a subclass called dissynchronous choice (DC) nets. It is shown that the reachability problem from an initial marking to dead markings (markings where no transition can fire) in earliest firing DC systems is equivalent to the usual reachability problem of the same systems under the normal firing rule. Then, the result is applied to reachability problems of controlled DC systems in which some transitions in the net have external control input places. It is shown that for systems where every transition in the net has an external control input place, one type of reachability problem is decidable. Lastly, the liveness problem of earliest firing DC systems is considered and it is shown that this problem is equivalent to that of the underlying DC system under the normal firing rule. It is also shown that this liveness problem is decidable.
Naoshi UCHIHIRA Shinichi HONIDEN
This paper concerns a Petri-net-based model for describing reactive and concurrent systems. Although many high-level Petri nets have been proposed, they are insufficiently practical to describe reactive and concurrent systems in the detail modeling, design and implementation phases. They are mainly intended to describe concurrent systems in the rough modeling phase and lack in several important features (e.g., concurrent tasks, task communication/synchronization, I/O interface, task scheduling) which the most actual implementations of reactive and concurrent systems have. Therefore it is impossible to simulate and analyze the systems accurately without explicitly modeling these features. On the other hand, programming languages based on Petri nets are deeply dependent on their execution environments and not sophisticated as modeling and specification languages. This paper proposes MENDEL net which is a high-level Petri net extended by incorporating concurrent tasks, task communication/synchronization, I/O interface, and task scheduling in a sophisticated manner. MENDEL nets are a wide-spectrum modeling language, that is, they are suitable for not only modeling but also designing and implementing reactive and concurrent systems.
Toshiyuki MIYAMOTO Sadatoshi KUMAGAI
Petri nets are widely recognized as a powerful model for discrete event systems. Petri nets have both graphical and mathematical features. Graphical feature provides an environment to design and to comprehend discrete event systems. Mathematical feature provides an analysis power for verifying several properties of such systems. Several analysis techniques have been proposed so far, such as a reachability (coverability) graph method, a matrix equation approach, reduction or decomposition techniques, a symbolic model method and an unfolding method. The unfolding method was introduced to avoid generating the reachability graph. Unfoldings are often used in the verification of asynchronous circuits. This paper focuses on an analysis of finite state systems, i.e., bounded nets, and discuss a reachability problem and a upper bound problem. Relations between these problems and an unfolding have been clarified to provide a novel method to resolve these problems.
Shinji TANIMOTO Masahiro YAMAUCHI Toshimasa WATANABE
A siphon (or alternatively a structutal deadlock) of a Petri net is defined as a set S of places such that existence of any edge from a transition t to a place of S implies that there is an edge from some place of S to t. A minimal siphon is a siphon such that any proper subset is not a siphon. The results of the paper are as follows. (1) The problem of deciding whether or not a given Petri net has a minimum siphon (i.e., a minimum-cardinality minimal siphon) is NP-complete. (2) A polynomial-time algorithm to find, if any, a minimal siphon or even a maximal calss of mutually disjoint minimal siphons of a general Petri net is proposed.
Masahiro YAMAUCHI Shinji TANIMOTO Toshimasa WATANABE
A minimal siphon (or alternatively a structural deadlock) of a Petri net is defined as a minimal set S of places such that existence of any edge from a transition t to a place of S implies that there is an edge from some place of S to t. The subject of the paper is to find a minimal siphon containing a given set of specified places of a general Petri net.
We have previously reported studies [3], [4] of the steady state system throughput in a slotted ring network. In this paper, we analyze the transient state of packet transmission and derive several characteristics of the network.
Satoru IGAWA Akio OGIHARA Akira SHINTANI Shinobu TAKAMATSU
We propose a method to fuse auditory information and visual information for accurate speech recognition. This method fuses two kinds of information by using Iinear combination after calculating two kinds of probabilities by HMM for each word. In addition, we use full-frame color image as visual information in order to improve the accuracy of the proposed speech recognition system. We have performed experiments comparing the proposed method with the method using either auditory information or visual information, and confirmed the validity of the proposed method.
Masayuki HANAZAWA Yasuaki WATANABE Hitoshi SEKIMOTO
This paper describes a circuit analysis technique that includes all circuit elements used in transistor Colpitts quartz crystal oscillators. This technique is applied to a quartz crystal oscillator that has a tank circuit for selecting the oscillation frequency. The results obtained with this technique are compared with SPICE simulation results. Good agreement in the results clearly shows the validity of our technique.
Tetsushi UETA Hiroshi KAWAKAMI
We found a novel connecting orbit in the averaged Duffing-Rayleigh equation. The orbit starts from an unstable manifold of a saddle type equilibrium point and reaches to a stable manifold of a node type equilibrium. Although the connecting orbit is structurally stable in terms of the conventional definition of structural stability, it is structually unstable since a one-deimensional manifold into which the connecting orbit flows is unstable. We can consider the orbit is one of global bifurcations governing the differentiability of the closed orbit.
Hisao OKA Shiro FUJIWARA Masakazu OSHIMA Hiroshi KISHIMOTO
The aim of this study is to measure and quantify muscle fatigue of low back, caused by sitting on the vehicle seat for a long period of time. The authors proposed a new objective muscle fatigue index based on Principle Component Analysis utilizing the measured muscle viscoelasticity and EMG. The new index suggests an adequate correlation with the subjective fatigue.
Yasumasa SUJAKU Takahiro YAMADA Tosiro KOGA
A type of Lienard's equation
Takashi JO Miki HASEYAMA Hideo KITAJIMA
This letter proposes a map-matching method for automotive navigation systems. The proposed method utilizes the innovation of the Kalman filter algorithm and can achieve more accurate positioning than the correlation method which is generally used for the navigation systems. In this letter, the performance of the proposed algorithm is verified by some simulations.
Hideki KINJO Morikazu NAKAMURA Kenji ONAGA
In this paper, we propose the distributed stable marriage problem and apply it to planning for cooperative works of autonomous mobile robots and battery charger stations. We develop and analyze a distributed algorithm to determine the partner by message communication.
Tomotaka WADA Masanobu KOMINAMI Hiroji KUSAKA
The printed dipole on a semi-infinite substrate is investigated. The solution is based on the moment method in the Fourier transform domain. We analyze far-field and near-field radiation patterns for a printed dipole. Therefore, we make radiation fields clear.
Takayuki NAKACHI Katsumi YAMASHITA Nozomu HAMADA
We present an extended quarter-plane lattice model for generating two-dimensional (2-D) autoregressive fields. This work is a generalization of the extended lattice filter of diagonal form (ELDF) developed by Ertuzun et al. The proposed model represents a wider class of 2-D AR fields than conventional lattice models. Several examples are presented to demonstrate the applicability of the proposed model. Furthermore, the proposed structure is compared with other conventional lattice filters based on the computation of their entropy values.
Md. Kamrul HASAN Takashi YAHAGI
This paper is devoted to a new design method for infinite impulse response approximate inverse system of a nonminimum phase system. The design is carried out such that the convolution of the nonminimum phase polynomial and its approximate inverse system can be represented by an approximately linear phase all-pass filter. A method for estimating the time delay and order of an approximate inverse system is also presented. Using infinite impulse response approximate inverse systems better accuracy is achieved with reduced computational complexity. Numerical examples are included to show the effectiveness of the proposed method.
Masahiro OKUDA Masaaki IKEHARA Shin-ichi TAKAHASHI
In this paper, we propose a new design algorithm for nearly linear phase IIR digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase -squared error, and so it is possible to control log magnitude and phase response directly. The gradient vector of the proposed error function is easily calculated as the closed form solution because of its nature, in which the real and imaginary part of the logarithm of a complex transfer transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.
Michiharu MAEDA Hiromi MIYAJIMA Sadayuki MURASHIMA
This paper describes an adaptive neural vector quantization algorithm with a deleting approach of weight (reference) vectors. We call the algorithm an
Koji OBOKATA Yukihiro IWASAKI Feng BAO Yoshihide IGARASHI
A graph G is called an n-channel graph at vertex r if there are n independent spanning trees rooted at r. A graph G is called an n-channel graph if G is an n-channel graph at every vertex. Independent spanning trees of a graph play an important role in fault-tolerant broadcasting in the graph. In this paper we show that if G1 is an n1-channel graph and G2 is an n2-channel graph, then G1
This paper suggests modified LZSS which is suitable for compressing Hangul data by Hangul character token and the string token with small size based on Hangul properties. The Hangul properties can be described in 2 ways. 1) The structure of a Hangul character consists of 3 letters: The first sound letter, the middle sound letter, and the last sound letter which are called Cho-seong, Jung-seong, and Jong-seong, respectively. 2) The code of Hangul is represented by 2 bytes. The first property is used for making the character token processing Hangul characters which occupies most of the unmatched characters. That is, the unmatched Hangul characters are replaced with one Hangul character token represented by Huffman codes of Cho-seong, Jung-seong, and Jong-seong in regular sequence, instead of 2 character tokens. The second property is used to shorten the size of the string token processing matched string. In other words, since more than 75% of Hangul data are Hangul and Hangul codes are constructed in 2 bytes, the addresses of the window of LZSS can be assigned in 2-byte unit. As a result, the distance field and the length field of the string token can be lessened by one bit each. After compressing Hangul data through these tokens, about 3% of improvement could be made in compression ratio.
Tadashi WADAYAMA Koichiro WAKASUGI Masao KASAHARA
A new design method, which is referred to as the matched design method, for concatenated trellis-coded modulation (TCM) is presented. Most of the conventional concatenated TCM employs TCM designed to maximize the minimum squared Euclidean free distance, d2free. With the matched design method, we maximize d21(t) instead of d2free, where d21(t) is the effective minimum squared Euclidean distance (MSED) when the outer code has a t-error correcting capability. The effective MSED is derived from the Euclidean/Hamming (E/H) joint weight distribution of terminated TCM. We here assume the concatenated TCM whose transmitted symbol corresponds to a symbol of outer code. The new classes of 2-dimensional (2D) and 4-dimensional (4D) codes are found by a computer search. Under the performance measures of the effective MSED or the effective multiplicity, these codes are superior to the conventional codes such as the Ungerboeck's 2D-codes when those are used as an inner code. We disclose an interesting fact that the new class of codes using rate-1/2 encoder is superior to the class of codes using rate-2/3 encoder. This fact implies that the codes using rate-1/2 encoder have two advantages: 1) better overall decoding performance and 2) less decoding complexity.
Isao NAKANISHI Yoshio ITOH Yutaka FUKUI
For reduction of computational complexity in the IA algorithm, the thinned-out IA algorithm in which only one step size is updated every iteration is proposed and is complementarily switched with the HA algorithm according to the convergence. The switching is determined by using the gradient of the error signal power. These are investigated through the computer simulations.