Pub Date : 2011-06-16DOI: 10.1109/SARNOF.2011.5876475
O. Odejide, C. Bazil, A. Annamalai
Modern day wireless systems requires the ability to support multitude of services with different reliability requirements. Challenges of achieving reliable multimedia services include limited battery resources at mobile nodes, coupled with hostile propagation environments. We believe that adaptive signaling techniques can be designed to take advantage of differences in the quality of service (QoS) requirements among different types of multimedia traffic besides improving spectral efficiency. Furthermore, we also demonstrate that it is essential to have a readily invertible equation for different multiresolution modulation types in order to automatically execute an Adaptive Multiresolution Modulation (AMM) scheme. Exponential approximation was used for generating invertible expression for asymmetrical quadrature amplitude modulation. We also generated the curve fitting approximations for the average BER probability and individual BER for 4-PSK, 8-PSK, 16-QAM and 64-QAM by using the complementary error function approximation. In this article, we demonstrate the efficacy of the complimentary error function approximation as a better curve fitting approximation in comparison to exponential approximation. We also illustrated the benefits that can be gained from using the adaptive multiresolution modulation.
{"title":"Adaptive multiresolution modulation for multimedia traffic in dynamic wireless environment","authors":"O. Odejide, C. Bazil, A. Annamalai","doi":"10.1109/SARNOF.2011.5876475","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876475","url":null,"abstract":"Modern day wireless systems requires the ability to support multitude of services with different reliability requirements. Challenges of achieving reliable multimedia services include limited battery resources at mobile nodes, coupled with hostile propagation environments. We believe that adaptive signaling techniques can be designed to take advantage of differences in the quality of service (QoS) requirements among different types of multimedia traffic besides improving spectral efficiency. Furthermore, we also demonstrate that it is essential to have a readily invertible equation for different multiresolution modulation types in order to automatically execute an Adaptive Multiresolution Modulation (AMM) scheme. Exponential approximation was used for generating invertible expression for asymmetrical quadrature amplitude modulation. We also generated the curve fitting approximations for the average BER probability and individual BER for 4-PSK, 8-PSK, 16-QAM and 64-QAM by using the complementary error function approximation. In this article, we demonstrate the efficacy of the complimentary error function approximation as a better curve fitting approximation in comparison to exponential approximation. We also illustrated the benefits that can be gained from using the adaptive multiresolution modulation.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123672637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876449
Wisam Farjow, Mohamed Daoud, Xavier N Fernando
After a series of recent world wide mine tragedies, ranging from collapsing mines in China and Colombia to trapped miners in Chile, the importance of robust and reliable underground communication networks has become evident once again. A reliable underground communication network in mines will not only facilitate the day to day operations but will also help save many lives. However, designing reliable and robust underground network has always been a challenge due to the special nature of mines. These extreme and harsh mine conditions require special communication systems like leaky feeders, Through The Earth (TTE), and wireless mesh networks. While TTE is used in case of disaster recovery and locating trapped miners and wireless mesh is used for sensing the mine conditions, the leaky feeder system can be considered the most popular communication system used for daily operations. It carries voice, video, and data; however, the leaky feeder system is not reliable and problems are hard to diagnose. This paper describes a novel advanced diagnostic system with a ventilation on demand capability that enhances leaky feeders; this system will not only allow monitoring of all underground nodes connected to the leaky feeder. It will also allow remote programming from the control room above ground and monitoring the losses in the leaky feeder in the sense that the infrastructure will be able to monitor itself. Ventilation on demand is another advantage of this system as it will operate the underground mine ventilation fans depending on data collected from sensors attached to the leaky feeder. This will provide huge power savings since ventilation fans are responsible for about 60% of power consumption in mines. The system is described here along with simulation results proving its performance.
{"title":"Advanced diagnostic system with ventilation on demand for underground mines","authors":"Wisam Farjow, Mohamed Daoud, Xavier N Fernando","doi":"10.1109/SARNOF.2011.5876449","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876449","url":null,"abstract":"After a series of recent world wide mine tragedies, ranging from collapsing mines in China and Colombia to trapped miners in Chile, the importance of robust and reliable underground communication networks has become evident once again. A reliable underground communication network in mines will not only facilitate the day to day operations but will also help save many lives. However, designing reliable and robust underground network has always been a challenge due to the special nature of mines. These extreme and harsh mine conditions require special communication systems like leaky feeders, Through The Earth (TTE), and wireless mesh networks. While TTE is used in case of disaster recovery and locating trapped miners and wireless mesh is used for sensing the mine conditions, the leaky feeder system can be considered the most popular communication system used for daily operations. It carries voice, video, and data; however, the leaky feeder system is not reliable and problems are hard to diagnose. This paper describes a novel advanced diagnostic system with a ventilation on demand capability that enhances leaky feeders; this system will not only allow monitoring of all underground nodes connected to the leaky feeder. It will also allow remote programming from the control room above ground and monitoring the losses in the leaky feeder in the sense that the infrastructure will be able to monitor itself. Ventilation on demand is another advantage of this system as it will operate the underground mine ventilation fans depending on data collected from sensors attached to the leaky feeder. This will provide huge power savings since ventilation fans are responsible for about 60% of power consumption in mines. The system is described here along with simulation results proving its performance.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121810055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876479
J. Boksiner, S. Dehnie
Opportunistic Dynamic Spectrum Access (DSA) systems are emerging as a key to enable the Department of Defense (DoD) to meet its technology requirements for access to the electromagnetic spectrum. One of the main goals of DSA is to protect incumbent spectrum users from interference that could be caused by DSA emitters. One of the ways to accomplish this is through spectrum sensing as means to enable the DSA system to detect the presence of emissions from other spectrum users. A simple and practical approach to spectrum sensing is energy sensing that detects other users on the basis of the total signal energy in channel of a given bandwidth. In this paper our goal is to investigate the performance of energy sensing for constant and random power signals using two approaches. The first approach that has been investigated extensively in the past uses the total energy, or equivalent average power, over the entire signal bandwidth as the basis for detecting incumbent signals. The second approach, which needs to be used for wideband signals if the bandwidth of the incumbent signal is not known, uses signal energy in individual FFT bins as the basis for detection. We examine the performance of these detection approach under the Neyman-Pearson criterion and also using the Chernoff-Stein Lemma to obtain the achievable detection probability as a function of detection delay. We find that the method using average over the entire signal achieves better performance than the method that uses values of individual bins. This shows the importance of prior knowledge that can be expressed as radio policy to enable coexistence of DSA with incumbent systems.
{"title":"Comparison of energy detection using averaging and maximum values detection for dynamic spectrum access","authors":"J. Boksiner, S. Dehnie","doi":"10.1109/SARNOF.2011.5876479","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876479","url":null,"abstract":"Opportunistic Dynamic Spectrum Access (DSA) systems are emerging as a key to enable the Department of Defense (DoD) to meet its technology requirements for access to the electromagnetic spectrum. One of the main goals of DSA is to protect incumbent spectrum users from interference that could be caused by DSA emitters. One of the ways to accomplish this is through spectrum sensing as means to enable the DSA system to detect the presence of emissions from other spectrum users. A simple and practical approach to spectrum sensing is energy sensing that detects other users on the basis of the total signal energy in channel of a given bandwidth. In this paper our goal is to investigate the performance of energy sensing for constant and random power signals using two approaches. The first approach that has been investigated extensively in the past uses the total energy, or equivalent average power, over the entire signal bandwidth as the basis for detecting incumbent signals. The second approach, which needs to be used for wideband signals if the bandwidth of the incumbent signal is not known, uses signal energy in individual FFT bins as the basis for detection. We examine the performance of these detection approach under the Neyman-Pearson criterion and also using the Chernoff-Stein Lemma to obtain the achievable detection probability as a function of detection delay. We find that the method using average over the entire signal achieves better performance than the method that uses values of individual bins. This shows the importance of prior knowledge that can be expressed as radio policy to enable coexistence of DSA with incumbent systems.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122441710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876469
I. Lu, Jialing Li
Two novel numerically efficient approaches are proposed for maximum capacity designs in multiple-input multiple-output (MIMO) systems under the practical per-antenna power constraint. One is an explicit solution (ES) when the rank of the channel matrix is equal to the number of transmit antennas. And the other is an efficient iterative approach (EIA). The ES is optimum and the EIA is nearly optimum in the maximum capacity sense. The key advantage of the EIA is that the number of data streams (i.e., the rank of the transmit covariant matrix) can be pre-specified and therefore tradeoffs between multiplexing and diversity gains can be facilitated. Numerical results show that the capacity and MSE performances with the more practical per-antenna power constraint are very similar to those with the less practical total power constraint.
{"title":"Novel rank-constrained maximum capacity MIMO designs under practical per-antenna power constraint","authors":"I. Lu, Jialing Li","doi":"10.1109/SARNOF.2011.5876469","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876469","url":null,"abstract":"Two novel numerically efficient approaches are proposed for maximum capacity designs in multiple-input multiple-output (MIMO) systems under the practical per-antenna power constraint. One is an explicit solution (ES) when the rank of the channel matrix is equal to the number of transmit antennas. And the other is an efficient iterative approach (EIA). The ES is optimum and the EIA is nearly optimum in the maximum capacity sense. The key advantage of the EIA is that the number of data streams (i.e., the rank of the transmit covariant matrix) can be pre-specified and therefore tradeoffs between multiplexing and diversity gains can be facilitated. Numerical results show that the capacity and MSE performances with the more practical per-antenna power constraint are very similar to those with the less practical total power constraint.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121394681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876461
D. Mayer, Georg Neugebauer, Ulrike Meyer, S. Wetzel
Fair and privacy-preserving reconciliation protocols on ordered sets have been introduced recently. Despite the fact that these protocols promise to have a great impact in a variety of applications, so far their practical use has been explored to a limited extent only. This paper addresses this gap. As main contributions, this paper identifies e-voting, auctions, event scheduling, and policy reconciliation as four far-reaching areas of application and shows how fair and privacy-preserving reconciliation protocols can be used effectively in these contexts.
{"title":"Enabling fair and privacy-preserving applications using reconciliation protocols on ordered sets","authors":"D. Mayer, Georg Neugebauer, Ulrike Meyer, S. Wetzel","doi":"10.1109/SARNOF.2011.5876461","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876461","url":null,"abstract":"Fair and privacy-preserving reconciliation protocols on ordered sets have been introduced recently. Despite the fact that these protocols promise to have a great impact in a variety of applications, so far their practical use has been explored to a limited extent only. This paper addresses this gap. As main contributions, this paper identifies e-voting, auctions, event scheduling, and policy reconciliation as four far-reaching areas of application and shows how fair and privacy-preserving reconciliation protocols can be used effectively in these contexts.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124034053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876483
A. Reznik, Chunxuan Ye, Yuying Dai, Samian Kaur, J. Tomici
This paper considers a Wireless Local Area Network consisting of Access Points that can provide only a limited cone of coverage. A dense access point deployment is required for such a network to provide coverage over a substantial area. Such a deployment introduces challenges associated with support of terminal mobility, backhaul management load and association. In this paper, we propose simple yet effective solutions to these problems.
{"title":"Mobility management for dense networks","authors":"A. Reznik, Chunxuan Ye, Yuying Dai, Samian Kaur, J. Tomici","doi":"10.1109/SARNOF.2011.5876483","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876483","url":null,"abstract":"This paper considers a Wireless Local Area Network consisting of Access Points that can provide only a limited cone of coverage. A dense access point deployment is required for such a network to provide coverage over a substantial area. Such a deployment introduces challenges associated with support of terminal mobility, backhaul management load and association. In this paper, we propose simple yet effective solutions to these problems.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124538446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876446
Shan He, C. Saavedra
The design of a fully integrated balanced amplifier implemented in a 130 nm CMOS technology is described in this paper. This balanced amplifier achieves a gain of 30 dB from 19 GHz to 26 GHz. To reduce the signal loss and the physical dimensions of the 90° coupler utilized in this balanced amplifier, a meandered broadside coupler with shield is designed. This on-chip 90° coupler occupies a compact area of 300 um × 120 um. An effective technique based on tuning the width of the transistors to achieve wideband operation is also proposed in this paper. The proposed balanced amplifier design achieves an IIP3 of −6.0 dBm and an input 1-dB gain compression point of −16.5 dBm. The OIP3 and the output 1-dB gain compression point are 24.0 dBm and 10.7 dBm, respectively.
{"title":"A 19–26 GHz balanced amplifier in 130 nm CMOS technology","authors":"Shan He, C. Saavedra","doi":"10.1109/SARNOF.2011.5876446","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876446","url":null,"abstract":"The design of a fully integrated balanced amplifier implemented in a 130 nm CMOS technology is described in this paper. This balanced amplifier achieves a gain of 30 dB from 19 GHz to 26 GHz. To reduce the signal loss and the physical dimensions of the 90° coupler utilized in this balanced amplifier, a meandered broadside coupler with shield is designed. This on-chip 90° coupler occupies a compact area of 300 um × 120 um. An effective technique based on tuning the width of the transistors to achieve wideband operation is also proposed in this paper. The proposed balanced amplifier design achieves an IIP3 of −6.0 dBm and an input 1-dB gain compression point of −16.5 dBm. The OIP3 and the output 1-dB gain compression point are 24.0 dBm and 10.7 dBm, respectively.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"244 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132184424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876445
A. Reddy, Qing Li, Walid Ahmed, E. Kpodzo
In this paper, the architecture of a digital polar transmitter system for cellular multi-mode handset is presented with hardware implementation emphasis on 2/2.5G systems (GSM/EDGE). The most prominent feature of this architecture is it's ability to employ a highly nonlinear PA, this highly efficient. This is accomplished via our novel real-time nonlinear closed-loop predictive calibration for correcting the PA's nonlinearity. In addition, our architecture makes it possible to eliminate or minimize the need for extensive factory calibration since our predictive realtime auto-calibration scheme does not require much prior knowledge of the system characteristics.
{"title":"High efficiency digital polar transmitter for cellular handsets","authors":"A. Reddy, Qing Li, Walid Ahmed, E. Kpodzo","doi":"10.1109/SARNOF.2011.5876445","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876445","url":null,"abstract":"In this paper, the architecture of a digital polar transmitter system for cellular multi-mode handset is presented with hardware implementation emphasis on 2/2.5G systems (GSM/EDGE). The most prominent feature of this architecture is it's ability to employ a highly nonlinear PA, this highly efficient. This is accomplished via our novel real-time nonlinear closed-loop predictive calibration for correcting the PA's nonlinearity. In addition, our architecture makes it possible to eliminate or minimize the need for extensive factory calibration since our predictive realtime auto-calibration scheme does not require much prior knowledge of the system characteristics.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133648355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876450
Esther P. Adeva, B. Mennenga, G. Fettweis
Nowadays, high detection complexity is known to be one of the major challenges in MIMO communications based on spatial multiplexing. Tuple search (TS) sphere detection was recently introduced, demonstrating to represent a promising approach in this context. It provides significant complexity reduction in comparison to conventional algorithms, providing in addition close to full max-log-APP BER performance. Due to the increasing multiplicity of communication standards as well as variety of mobile applications demanded by users, tackling the lack of flexibility of common receiver realizations has become an additional key challenge in MIMO detection. Aim of this work is to demonstrate that the benefit provided by the tuple search strategy is still present in a wide range of possible transmission schemes. For this purpose, a novel efficiency indicator is introduced, based on which an exhaustive analysis is performed. The existing tuple search detector has been adapted to deal with different constellation orders and transmit/receive antenna configurations. In addition, the applied MMSE strategy has been modified to support undetermined systems. The obtained results show the superiority of the proposed sphere detector under different transmission conditions, thus demonstrating its efficiency and flexibility.
{"title":"Survey on an efficient, low-complex tuple search based sphere detector","authors":"Esther P. Adeva, B. Mennenga, G. Fettweis","doi":"10.1109/SARNOF.2011.5876450","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876450","url":null,"abstract":"Nowadays, high detection complexity is known to be one of the major challenges in MIMO communications based on spatial multiplexing. Tuple search (TS) sphere detection was recently introduced, demonstrating to represent a promising approach in this context. It provides significant complexity reduction in comparison to conventional algorithms, providing in addition close to full max-log-APP BER performance. Due to the increasing multiplicity of communication standards as well as variety of mobile applications demanded by users, tackling the lack of flexibility of common receiver realizations has become an additional key challenge in MIMO detection. Aim of this work is to demonstrate that the benefit provided by the tuple search strategy is still present in a wide range of possible transmission schemes. For this purpose, a novel efficiency indicator is introduced, based on which an exhaustive analysis is performed. The existing tuple search detector has been adapted to deal with different constellation orders and transmit/receive antenna configurations. In addition, the applied MMSE strategy has been modified to support undetermined systems. The obtained results show the superiority of the proposed sphere detector under different transmission conditions, thus demonstrating its efficiency and flexibility.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"236 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121141966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-05-03DOI: 10.1109/SARNOF.2011.5876472
W. Marszalek, Z. Trzaska
Two special nonlinear circuits, each with a cubic nonlinearity, controlled element, constant source and R, L, C components, are considered in this paper. The circuits can operate in various oscillating conditions (mixed-mode, quasi-periodic and chaotic). The circuits can be considered as a coupling of two oscillators (linear and nonlinear ones). Although simple topologically, the circuits exhibit complex dynamical responses and dynamical properties of the circuits can be characterized through Farey arithmetic and fractal dimensions of their devil's staircases. Several interesting properties of the circuits are illustrated through bifurcation diagrams, phase plane and time series responses.
{"title":"Bifurcations of nonlinear circuits with mixed mode and chaotic oscillations","authors":"W. Marszalek, Z. Trzaska","doi":"10.1109/SARNOF.2011.5876472","DOIUrl":"https://doi.org/10.1109/SARNOF.2011.5876472","url":null,"abstract":"Two special nonlinear circuits, each with a cubic nonlinearity, controlled element, constant source and R, L, C components, are considered in this paper. The circuits can operate in various oscillating conditions (mixed-mode, quasi-periodic and chaotic). The circuits can be considered as a coupling of two oscillators (linear and nonlinear ones). Although simple topologically, the circuits exhibit complex dynamical responses and dynamical properties of the circuits can be characterized through Farey arithmetic and fractal dimensions of their devil's staircases. Several interesting properties of the circuits are illustrated through bifurcation diagrams, phase plane and time series responses.","PeriodicalId":339596,"journal":{"name":"34th IEEE Sarnoff Symposium","volume":"128 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122045217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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