Rectangular Waveform Research Articles

Multichannel sequential display LED driver with optimal transient performance and efficiency via synchronous integral control

This study proposes a high performance multichannel sequential display light emitting diode (LED) driver with pulse width modulated dimming control. A synchronous integral control strategy is developed for achieving optimal transient performances for the channel voltages and ideal rectangular waveforms for the LED current, which will help to maintain high efficiency and extend the lifetime of the LEDs. By synchronous integral control, each channel has a corresponding integrator whose input and output are turned on and off synchronously with the LED string. The proposed driver topology and control strategy are supported by detailed analysis on stability and transient response during on-time interval of a channel by using the averaged state-space model. The effectiveness of the design method is demonstrated with simulation. A three-channel LED driver is constructed to experimentally validate the high efficiency and high performance of the proposed topology and control strategy with desired LED current waveform and nearly constant channel voltages.

Numerical study on evolution of weakly nonlinear waves into an acoustic soliton in bubbly water

Finite but small amplitude (i.e., weakly nonlinear) propagation of pressure (or acoustic) waves in an initially quiescent water uniformly containing many spherical microbubbles is numerically studied. Especially, an effective equation for the case of low frequency long wave is the Korteweg–de Vries–Burgers (KdVB) equation, which consists of the nonlinear, dissipation, and dispersion terms. Two major solutions of KdVB equation are a shock wave (i.e., dissipative case) and a soliton (i.e., dispersive case). The purpose of this study is the elucidation of spatio-temporal evolution of these three terms (not coefficients) and that of resultant waveforms. The results are summarized as follows: (a) a solitary pulse waves were formed by the nonlinear and dispersion terms and well-known nonlinear interaction was observed; (b) the number of formed solitons was dependent on the initial waveform such as Gaussian, shock, and rectangular waveforms; (c) the number of formed solitons was strongly dependent on the initial void fraction.

A novel method for high-frequency non-sinusoidal vibration waveforms with uniaxial electro-hydraulic shaking table based on Fourier series

In this article, a rotary valve is developed to obtain accurate high-frequency sinusoidal vibration waveforms. Then, a uniaxial electro-hydraulic shaking table controlled by a set of parallel rotary valves is constructed, which can superpose the sinusoidal vibration waveforms. The non-sinusoidal vibration waveforms including triangular vibration waveform, rectangular vibration waveform, sawtooth vibration waveform and trapezoidal vibration waveform are generated by adjusting the spool rotation speed based on the Fourier series. The results show that with one rotary valve, the uniaxial electro-hydraulic shaking table can output accurate high-frequency sinusoidal vibration waveforms and the total harmonic distortion is less than 1% at high vibration frequency. Compared with the standard vibration waveform, the error of the generated vibration waveform is very small. For the rectangular vibration waveform and sawtooth vibration waveform, the error is less than 6%, and for the triangular vibration waveform and trapezoidal vibration waveform, the error is less than 3%. The impacts of the working conditions on the error of the generated vibration waveform are very small. The proposed method for the accurate high-frequency non-sinusoidal vibration waveform is very effective and can be applied in high vibration frequency and different load masses. With the increase of the supply pressure, the amplitude of the generated vibration waveforms increases, while the error changes in a rather narrow range. The amplitude can be adjusted by changing the supply pressure with almost no effect on the accuracy of the vibration waveform.

A Flexible Low-Pass Filter Based on Laser-Induced Graphene

A graphene-based flexible filter was obtained via one-step laser heating of a polyimide film. The key parameters of a laser have been confirmed by comparing simulated results and experimental data. High-frequency components of input signals were filtered out effectively for different waveforms, such as sine, rectangular, triangle and pulse waveforms. In order to study filtering performance, this paper focused on amplitude frequency curve, phase frequency curve, transient response and mechanical stability. The phase frequency curve is linear distribution, indicating that it is convenient to control phase shift. The mechanical stability of the device remains good even after 5000 bends, which is unreported in previous work. This paper demonstrated that a graphene-based flexible filter prepared by one-step laser heating has excellent performance and opens new way of thinking about flexible electronics in the future.

Theoretical and numerical analysis of regular one-side oscillations in a single pendulum system driven by a magnetic field

This paper presents a theoretical and numerical analysis of one-side oscillation in a single magnetic pendulum. The system is composed of a physical pendulum with a neodymium magnet fixed to the end of the rod. The pendulum is driven by a pulsating, repulsive magnetic field generated by an electric coil placed underneath. The pendulum pivot is damped by an elastic element. The excitation current signal has a pulsating rectangular waveform with a controlled frequency and duty cycle. In general, magnetic interaction weakens with increasing distance between the magnet and the coil, making excitation in this system not only time-dependent but also position-dependent. The specific type of solution, referred to as “one-side oscillation” is analysed in terms of a frequency and a duty cycle of the current signal. By one-side oscillations, we mean oscillations of the pendulum characterized by the same sign of angular displacement, without passing through the lowest and the highest vertical equilibrium positions. The analysis is based mainly on the assumption that outside some “active zone” the influence of magnetic interaction on the pendulum dynamics is negligible, and the system can be discretized into two states: with and without magnetic force. The results were confirmed by experimental data showing the different periodicity of one-side oscillations. Limitations of the proposed analysis were found in the case of some variants of the analysed solution type. An overview of the system dynamics is presented in the form of bifurcation diagrams obtained numerically and verified by experimental estimates, which show the existence of chaotic behaviour and multiperiodicity for various values of the frequency of the current signal.

Application of Map-Based Multipactor Theory to Alternate Periodic Radio Frequency Waveforms

Multipactor is an electron discharge driven by secondary electron emission (SEE) that plagues microwave components, accelerator structures, and space-borne systems operating in vacuum conditions. Recently, a novel map-based theoretical approach for multipactor based on nonlinear dynamics and chaos theory has been introduced and applied to systems driven by a standard radio frequency (RF) sinusoidal electric field. This theory, however, is universal in that it is applicable to any periodic RF waveform. To demonstrate this, this article applies the map-based theory to periodic rectangular and triangular RF waveforms in a parallel-plate geometry. Bifurcation diagrams are constructed that concisely summarize the underlying multipactor dynamics for both waveforms. These theoretical predictions are then quantitatively verified with the particle-in-cell simulations.

Quantitative comparisons of block thresholds and onset responses for charge-balanced kilohertz frequency waveforms

Objective. There is growing interest in delivering kilohertz frequency (KHF) electrical signals to block conduction in peripheral nerves for treatment of various diseases. Previous studies used different KHF waveforms to achieve block, and it remains unclear how waveform affects nerve block parameters. Approach. We quantified the effects of waveform on KHF block of the rat tibial nerve in vivo and in computational models. We compared block thresholds and onset responses across current-controlled sinusoids and charge-balanced rectangular waveforms with different asymmetries and duty cycles. Main results. Sine waves had higher block thresholds than square waves, but used less power at block threshold. Block threshold had an inverse relationship with duty cycle of rectangular waveforms irrespective of waveform asymmetry. Computational model results were consistent with relationships measured in vivo, although the models underestimated the effect of duty cycle on increasing thresholds. The axonal membrane substantially filtered waveforms, the filter transfer function was strikingly similar across waveforms, and filtering resulted in post-filtered rms block thresholds that were approximately constant across waveforms in silico and in vivo. Onset response was not consistently affected by waveform shape, but onset response was smaller at amplitudes well above block threshold. Therefore, waveforms with lower block thresholds (e.g. sine waves or square waves) could be more readily increased to higher amplitudes relative to block threshold to reduce onset response. We also observed a reduction in onset responses across consecutive trials after initial application of supra-block threshold amplitudes. Significance. Waveform had substantial effects on block thresholds, and the amplitude relative to block threshold had substantial effects on onset response. These data inform choice of waveform in subsequent studies and clinical applications, enhance effective use of block in therapeutic applications, and facilitate the design of parameters that achieve block with minimal onset responses.

Switched Oscillator With Quarter-Wave, Open-Circuited Stub for Generating Mesoband High-Power Microwave Pulses

This article presents a high-voltage switched oscillator (SO) with a quarter-wave open-circuited stub (OCS) for generating mesoband high-power microwave (HPM) pulses. Unlike the conventional SO, the proposed SO generates mesoband HPM pulses whose dc offset is greatly reduced because the OCS inserted between a charged transmission line and an antenna blocks the flow of the electric energy from a high-voltage power supply to the antenna. Thus, the proposed SO allows the insulation capability of the antenna to be increased and ground-loop-integrated-wideband antennas to be employed. The transient response of the proposed SO is theoretically analyzed to understand its operation mechanism. The results prove that the proposed SO is capable of producing mesoband HPM pulses with a damped rectangular pulse waveform without a high-voltage dc offset. Also, the amplitude and quality factor are discussed. Compared with the conventional SO, the proposed SO has a larger output amplitude and smaller quality factor. Here, the difference between the quality factors is negligible. In addition to the theoretical analysis, we simulated and fabricated the proposed SO. Consequently, the results of the circuit simulation and experiment demonstrated the validity of the proposed design concept.

Influence of electron beam oscillation patterns on the microstructure, texture, residual stress and mechanical properties of Ti-5Al-2.5Sn alloy weldments

Vacuum electron beam welding is widely employed for the welding of titanium alloys using different beam oscillation patterns. Since these patterns influence the physical phenomenon in the weld pool, its effect on the microstructure, texture, mechanical properties and residual stresses is of prime interest. In order to understand this influence, electron beam welding was used to prepare Ti-5Al-2.5Sn weldments using beam oscillations of triangular and rectangular waveform. It was observed that a change of welding pattern had a strong influence on the residual stresses, impact properties and texture of weld zone while tensile properties were not significantly affected. A partial martensitic transformation was observed in both the triangular and rectangular waveform of oscillations. An increase in alpha lathe width was observed in the fusion zone and similar strength of the rectangular pattern as compared to triangular pattern. Despite of this, the observed higher Vickers hardness of the fusion zone of rectangular pattern as compared to triangular and no-oscillation was attributed to texture strengthening using rectangular waveform.

Movement Caused by Electrical Stimulation of the Lumbosacral Region in Standing Horses

Electrical stimulation is commonly used as a modality for physical therapy in human and veterinary medicine. However, studies measuring the movement generated by electrical stimulation in horses are rare. The present study therefore evaluates the range of movement provoked by a commercially available physical therapy unit (FES310) and contrasts it with the movement generated by manually induced pelvic inclination (back rounding). Ten horses were tested on three measurement days over one week. Electrical stimulation was applied via a back treatment pad (belonging to the FES310 system) containing six electrodes (three on either side of the spine) placed over the lumbosacral region. This system produced a pulsed, biphasic electrical stimulation in a rectangular waveform which was gradually increased to a maximum of 10 volts. Before and after electrical stimulation testing, manual pelvic inclination was achieved by pressure on two points lateral to the root of the tail. Muscle tone and lameness were evaluated before and after treatments. Skinfold thickness, body condition score, and body mass were measured to detect possible confounding factors. Using kinematics, the angle ranges during movement of ten three-dimensional angles of the trunk, the pelvis, and the hind limbs were further analyzed. Movement was produced with manual stimulation in every tested individual on all measurement days and with electrical stimulation on at least one measurement day. The electrical stimulation led to significantly (P < .05) smaller angle ranges which were 15 %–57 % of the median of the manually stimulated movement. Strong positive correlations between angle ranges of the electrically generated movement were found for the hind limbs implicating their involvement in the movement created. Correlations between skinfold thickness, body condition score, and body mass with the angle ranges were weak and not significant. Before and after electrical and manual stimulation, muscle tone and lameness were similar. In the present study, both electrical and manual stimulation were proven to produce significant trunk and hind limb movement. Within this study’s electrical stimulation treatment protocol, the movement generated by electrical stimulation was significantly less than the movement caused by manual pelvic inclination. However, electrical stimulation could easily be applied over a longer period and in a higher frequency than it would be possible for manual pelvic inclination. This treatment shows potential for stabilization and or mobilization of the lumbosacral region, although its efficiency as a therapeutic tool and its effect on specific orthopedic problems and is to be evaluated in further research.

Bifurcation analysis of a vibro-impact experimental rig with two-sided constraint

In this paper we carry out an in-depth experimental and numerical investigation of a vibro-impact rig with a two-sided constraint and an external excitation given by a rectangular waveform. The rig, presenting forward and backward drifts, consists of an inner vibrating shaft intermittently impacting with its holding frame. Our interests focus on the multistability and the bifurcation structure observed in the system under two different contacting surfaces. For this purpose, we propose a mathematical model describing the rig dynamics and perform a detailed bifurcation analysis via path-following methods for nonsmooth dynamical systems, using the continuation platform COCO. Our study shows that multistability is produced by the interplay between two fold bifurcations, which give rise to hysteresis in the system. The investigation also reveals the presence of period-doubling bifurcations of limit cycles, which in turn are responsible for the creation of period-2 solutions for which the rig reverses its direction of progression. Furthermore, our study considers a two-parameter bifurcation analysis focusing on directional control, using the period of external excitation and the duty cycle of the rectangular waveform as the main control parameters.

Time-Modulated Arrays With Haar Wavelets

Time-modulated arrays (TMAs) can effectively perform beamsteering over the first positive harmonic pattern by applying progressively delayed versions of stair-step approximations of a sine waveform to the antenna excitations. In this letter, we consider synthesizing such stair-step sine approximations by means of Haar wavelets. Haar functions constitute a complete orthonormal set of rectangular waveforms, which have the ability to represent a given function with a high degree of accuracy using few constituent terms. Hence, when they are applied to the TMA synthesis, employing single-pole double-throw switches, such a feature leads to an excellent rejection level of the undesired harmonics as well as a bandwidth greater than that supported by conventional TMAs with on - off switches.

SPARC: Effect of Waveform on Kilohertz Frequency Nerve Block

There is growing interest in delivering kilohertz frequency (KHF) electrical signals to block conduction in autonomic nerves as a therapy to treat various diseases. Previous computational modeling, preclinical, and clinical studies used multiple different KHF waveforms to achieve block of the sciatic, vagus, and pudendal nerves. However, it remains unclear how the choice of waveform affects clinically relevant nerve block parameters. To address this knowledge gap, we quantified the effects of waveform on KHF block in vivo for the rat sciatic nerve, as well as in computational models of the rat sciatic nerve and the human vagus nerve. We compared block thresholds and onset responses across KHF sinusoids and charge‐balanced rectangular waveforms with different symmetries and duty cycles.Block thresholds were strongly dependent on the waveform shape. Experimentally, symmetric rectangular waveforms with full duty cycles had lower current thresholds for block than sinusoids, but they used slightly more power at threshold. Further, lower duty cycles yielded higher block thresholds, such that the log‐transformed block thresholds increased in an approximately linear manner as duty cycle decreased. The results from computational models were consistent with the in vivo block threshold relationships, although the models underestimated the increase in threshold with decreased duty cycle.While waveform selection had a clear and distinct effect on thresholds, it did not consistently affect in vivo onset response. Onset magnitude was similar across waveforms when normalized to block threshold. We also observed a history‐dependent reduction in onset response across all waveforms, from earlier trials with larger onset responses to later trials with reduced onsets during the course of a given experiment.Waveform had substantial effects on block thresholds but not on onset response. These quantitative data inform choice of waveform in subsequent studies and clinical applications. Such an understanding of the direct effects of KHF signal parameters on neural activity will enhance its effective use in therapeutic applications and facilitate the design of KHF stimulation parameters that achieve block with minimal undesired onset responses.Support or Funding InformationNIH SPARC OT2 OD025340

A Computational Model of Upper Thoracic High‐Frequency Spinal Cord Stimulation to Optimize Inspiratory Muscle Activation

BackgroundHigh‐frequency spinal cord stimulation (HFSCS) has been previously shown to elicit physiological activation of the diaphragm and inspiratory intercostal muscles via spinal cord pathways in canines. It was previously hypothesized that during upper thoracic HF‐SCS, the phrenic motoneuron pools are activated via spinal pathways located in the ventro‐lateral funiculus (VLF).ObjectiveThe aim of the present study was to develop a computational model of ventral HFSCS to optimize stimulation parameters and electrode configurations for activation of the inspiratory muscles.MethodsWe created a computer model of an anatomically‐accurate finite element model (FEM) of the canine spinal cord and surrounding anatomy, along with an implanted HFSCS electrode array. From this FEM, we calculated extracellular voltages generated by SCS and applied them to multicompartment cable models of axons within the VLF. Model analysis compared activation thresholds for several unique electrode designs, configurations, and electrode placements in order to optimize activation of these VLF fibers to maximize inspiratory muscle activation.ResultsFor initial model parameterization, we performed experimental measurements testing various electrode configurations and designs. We then used our computer model to evaluate several additional stimulation configurations (e.g. monopolar, bipolar) on VLF fiber selectivity. We then evaluated the effect of wider or narrow lateral lead spacing, contact spacing, and contact size. Finally, we considered several SCS waveform settings, such as rectangular waveforms and ramped waveforms, to potentially generate muscle activation more similar to natural inspiration.ConclusionsWe used our model to optimize electrode configurations, placements and novel stimulation waveforms of HFSCS to target fibers within the VLF. In particular, we found that wider lateral spacing between percutaneous electrodes better targets VLF fibers as opposed to the narrower spacing initially tested. We also show that ramped stimulation slowly recruits VLF fibers over time, which could improve naturalistic inspiratory muscle activation. In future work, we will perform experimental measurements in an animal model of HFSCS to confirm the ability of these optimized electrode designs and waveform parameters to better recreate normal inspiration.DisclosureDr. DiMarco is a founder of and has a significant financial interest in Synapse BioMedical, a manufacturer of diaphragm pacing systems and holds patents for spinal cord stimulation to restore cough and respiration (5,678,535; 5,911,218; 5,999,855; 8,751,004). Drs. DiMarco and Kowalski hold the U.S. patents for technology related to the content of this manuscript: Respiratory Muscle Activation by Spinal Cord Stimulation (8,352,036).Support or Funding InformationThis work is supported by NIH‐NINDS (R01NS064157).

Modeling of surface waves in photo-responsive viscoelastic liquid crystal thin films under a moving light source

In this paper we present a computational model to simulate surface waves on photo-responsive liquid crystal thin films under dynamic illumination. The influence of light attenuation is included to model the dynamic photo-mechanical response as a result of the forward (trans to cis) and the backward (cis to trans) isomerization of the embedded azobenzene molecules. The viscoelastic nature of the liquid crystal films is also estimated and incorporated in this study. The temporal response of the material under static spot illumination is analyzed first to understand the underlying mechanisms behind the observed response. The relation between the fraction of transformed molecules and the macroscopic light induced strains and stresses through the thickness is investigated to establish the significance of light attenuation. Subsequently, the model liquid crystal film is exposed to a rectangular illumination waveform to simulate a moving light source and thereby generate surface waves. Results are presented that relate the wave attributes, (i.e., the amplitude, frequency and phase lag) to the time scales associated with the moving light source, the molecular trans-cis isomerization reaction and the viscoelastic response of the material. A design guideline for producing surface waves with specific features (amplitude, phase) is presented.

Computational evaluation of mass filter acceptance and transmittance influenced by developing fields: An application of the plane method to investigate prefilter efficacy for rectangular wave operated mass filters.

The acceptance of quadrupole mass filters is improved when the alternating current (AC) and direct current (DC) fields are developed separately. Physically, this is achieved when a short RF only quadrupole (prefilter) is situated directly ahead of the mass filter. The acceptance gained by a system operating with a prefilter can be observed as an increase in sensitivity over conventional operation. Frequency dynamic duty cycle based rectangular waveform driven (rectangular wave) mass filters, a recent development, currently do not operate with prefilters. Little is known about the influence of duty cycle changes on the acceptance of rectangular wave mass filters. The sensitivity gain seen by conventional systems operating with prefilters indicates that the sensitivity of duty cycle based rectangular wave systems should increase comparably. The objective of this work was to determine prefilter efficacy for nonspecific rectangular wave mass filter systems. In this work, the plane method of acceptance was used to model the change to the acceptance and transmittance of sine and rectangular waveform driven mass filters under different modes of field development. Both systems indicated a fourfold increase in sensitivity when the mass filtering DC or duty cycle was delayed.

First-time evaluation of ascending compared to rectangular transthoracic defibrillation waveforms in modelled out-of-hospital cardiac arrest

Aim of the studyPrognosis in out-of-hospital cardiac arrest (OHCA) depends on cardiopulmonary resuscitation (CPR) duration. Therefore, the optimal biphasic defibrillation waveform shows high conversion rates besides low energy. Matthew Fishler theoretically predicted it to be truncated ascending exponential. We realised a prototypic defibrillator and compared ascending with conventional rectangular waveforms in modelled OHCA and CPR. MethodsApproved by the authorities, 57 healthy swine (Landrace ​× ​Piétrain) were randomised to ASCDefib (n 26) or CONVDefib (n 26). Five swine served as sham control. We induced ventricular fibrillation (VF) electrically in anaesthetised swine randomised to ASCDefib or CONVDefib and discontinued mechanical ventilation. After 5 ​min of untreated cardiac arrest, we started CPR with mechanical chest compressions and ventilation. We performed transthoracic biphasic defibrillations after 2, 4, 6 and 8 ​min CPR targeting 4 ​J/kg in either group. Depending on the randomised group, the defibrillation protocol was either three ascending followed by one rectangular waveform (ASCDefib) or three rectangular followed by one ascending waveform (CONVDefib). ResultsUnder our model-specific conditions, VF was initially terminated by 13/80 ascending waveforms and 13/79 rectangular waveforms and persistent return of spontaneous circulation was achieved in 8/26 (ASCDefib) vs. 10/26 (CONVDefib) animals. Mean current rather than waveform design was predictive for defibrillation success in a generalised linear model. ConclusionContrary to theoretical assumptions, transthoracic biphasic defibrillation with ascending waveforms is not superior to rectangular waveforms in modelled OHCA. We advocate defibrillation dosage to be guided by current, that has proven its predictive value again. Institutional protocol number84–02.04.2017.A176.

Influence of the RF drive potential on the acceptance behavior of pure quadrupole mass filters operated in stability zones A and B

The quadrupole acceptance of sinusoidal mass filters has been an area of interest for over fifty years. More recently, frequency dynamic rectangular waveform driven mass filters (colloquially digital mass filters) have been demonstrated. The acceptance of these devices has not been investigated. Commonly the acceptance of a quadrupole mass filter is calculated using the method of ellipses. Earlier this year, our group introduced an alternative method of calculating acceptance planes. The plane method is a simple and fast approach compared to ellipses. In this work, sinusoidal and digital RF driven mass filters modeled in stability zones A and B are explored using the plane method. The acceptance behavior of systems in zone B differ greatly from their zone A counterparts. There are considerable differences between the mass filter types operated in zone B. The type of RF drive potential plays an important role in the behavior of filters modeled in zone B.

A Novel Method to Actively Damp the Vibration of the Hybrid Powertrain by Utilizing a Flywheel Integrated-Starter-Generator

In this paper, a novel method to actively damp the powertrain vibration by utilizing a flywheel integrated starter generator (FISG) is proposed and validated on the testbench. A more light-weighted, economical, and compact hybrid powertrain devoid of clutches or dampers is built by replacing its flywheel with the ISG rotor. Motor torque having the opposite phase of the engine torque is applied to reduce the vibration. As opposed to the passive methods, which usually make use of the inertial and/or the damping properties of the components to absorb the vibration, this active approach is defined as active damping. Firstly, active damping is proved to be theoretically feasible by simulation based on an engine torque observer. To get the practical-application-oriented motor torque waveform, the observer torque is then processed by considering some realistic factors, such as the motor's response delay and the torque demand limit at MCU (Motor Control Unit), and is finally simplified as the rectangular waveform by off-line simulation. Secondly, an algorithm operating on the original resolver aimed at calculating the real-time crank position is proposed and programmed directly in the MCU. Finally, active damping is realized online utilizing a feedforward method by programming the crank-torque table in MCU. Experiments in both stable and transient conditions are conducted. Results show that active damping can attenuate the vibration effectively, especially over low speed and load ranges. The speed fluctuation range and the cyclic squared angular acceleration can be reduced by 79.7% and 89.7% respectively at 700 rpm when cranking. The crank vibration in transient conditions, including dragging and free deceleration, can also be suppressed, showing potential to realize fast and quiet engine start and halt.

A Novel Analytical OFDM Modulation Framework using Wavelet Transform with Window Function in the Hilbert space

Abstract Orthogonal frequency-division multiplexing (OFDM) technology has been applied in various wireless systems because OFDM approaches can transmit data with high capacity and high data rate. However, in the modern OFDM system, an efficient synchronization between transmitter and receiver is critical to avoid the inter symbol interference (ISI) for matching the huge demand of data in the Big Data era. The existing researches applied fast Fourier transform (FFT) for synchronization and symbol time recovery; however, these approaches resulted in a degraded performance in received signal quality, particularly in low-frequency carrier transmitting by losing the orthogonal characteristic of OFDM signal. To address this challenge, in this paper, we propose a novel analytical OFDM system that conforms to the IEEE 802.11 standard using the window function (rectangular waveform with roll-off characteristics) in the transmitter. The proposed OFDM framework eliminates the spectral sidelong of OFDM. Also, we design the timing recover system using Wavelet transform to extract the OFDM symbol frame signal in Hilbert space. The evaluation results demonstrate the bit error rate (BER) performance of the proposal in Additive white Gaussian noise (AWGN) for symbol data by using Wavelet transform to extract the band limited signal from the receiver side. In addition, we apply an IEEE 802.11 standard-conformed framing sequence and show that the BER performance is improved with the proposed OFDM transceiver synchronization model using Wavelet signal denoising in the same channel of AWGN.