Design of an Efficient Single-Stage and 2-Stages Class-E Power Amplifier (2.4GHz) for Internet-of-Things

Similar documents
High Power Two- Stage Class-AB/J Power Amplifier with High Gain and

Design and simulation of Parallel circuit class E Power amplifier

A New Topology of Load Network for Class F RF Power Amplifiers

0.5GHz - 1.5GHz Bandwidth 10W GaN HEMT RF Power Amplifier Design

Design and Layout of a X-Band MMIC Power Amplifier in a Phemt Technology

High-efficiency class E/F 3 power amplifiers with extended maximum operating frequency

BLUETOOTH devices operate in the MHz

Design of Class F Power Amplifiers Using Cree GaN HEMTs and Microwave Office Software to Optimize Gain, Efficiency, and Stability

In modern wireless. A High-Efficiency Transmission-Line GaN HEMT Class E Power Amplifier CLASS E AMPLIFIER. design of a Class E wireless

Leveraging High-Accuracy Models to Achieve First Pass Success in Power Amplifier Design

High Efficiency Classes of RF Amplifiers

Dual-band LNA Design for Wireless LAN Applications. 2.4 GHz LNA 5 GHz LNA Min Typ Max Min Typ Max

Design of High Efficiency Class E Amplifiers

ECEN 5014, Spring 2009 Special Topics: Active Microwave Circuits Zoya Popovic, University of Colorado, Boulder

Application Note 5057

California Eastern Laboratories

Reduced Current Class AB Radio Receiver Stages Using Novel Superlinear Transistors with Parallel NMOS and PMOS Transistors at One GHz

A 1-W GaAs Class-E Power Amplifier with an FBAR Filter Embedded in the Output Network

Design of a Current-Mode Class-D Power Amplifier in RF-CMOS

ATF-531P8 E-pHEMT GaAs FET Low Noise Amplifier Design for 800 and 900 MHz Applications. Application Note 1371

Design of a Broadband HEMT Mixer for UWB Applications

Design and Simulation of Voltage-Mode and Current-Mode Class-D Power Amplifiers for 2.4 GHz Applications

ISSCC 2006 / SESSION 11 / RF BUILDING BLOCKS AND PLLS / 11.9

White Paper. A High Performance, GHz MMIC Frequency Multiplier with Low Input Drive Power and High Output Power. I.

High Gain Low Noise Amplifier Design Using Active Feedback

The Design of A 125W L-Band GaN Power Amplifier

ATF-531P8 900 MHz High Linearity Amplifier. Application Note 1372

Downloaded from edlib.asdf.res.in

Streamlined Design of SiGe Based Power Amplifiers

100W High Power Silicon PIN Diode SPDT Switches By Rick Puente, Skyworks Solutions, Inc.

Design of a Low Noise Amplifier using 0.18µm CMOS technology

1 GHz Current Mode Class-D Power Amplifier in Hybrid Technology Using GaN HEMTs

Including the proper parasitics in a nonlinear

Silicon-Carbide High Efficiency 145 MHz Amplifier for Space Applications

1 of 7 12/20/ :04 PM

BER, MER Analysis of High Power Amplifier designed with LDMOS

1-13GHz Wideband LNA utilizing a Transformer as a Compact Inter-stage Network in 65nm CMOS

SP 22.3: A 12mW Wide Dynamic Range CMOS Front-End for a Portable GPS Receiver

4-Bit Ka Band SiGe BiCMOS Digital Step Attenuator

ANALYSIS OF BROADBAND GAN SWITCH MODE CLASS-E POWER AMPLIFIER

i. At the start-up of oscillation there is an excess negative resistance (-R)

NI AWR Design Environment Load-Pull Simulation Supports the Design of Wideband High-Efficiency Power Amplifiers

6-18 GHz MMIC Drive and Power Amplifiers

Application Note 5011

A 2.4-Ghz Differential Low-noise Amplifiers using 0.18um CMOS Technology

A 2 4 GHz Octave Bandwidth GaN HEMT Power Amplifier with High Efficiency

An Area efficient structure for a Dual band Wilkinson power divider with flexible frequency ratios

Application Note 5012

High Power Amplifier with Maximized Efficiency

ECEN 4634/5634, MICROWAVE AND RF LABORATORY

AN1509 APPLICATION NOTE A VERY HIGH EFFICIENCY SILICON BIPOLAR TRANSISTOR

DESIGN OF 2.4 GHz CMOS POWER AMPLIFIER FOR WIRELESS COMMUNICATION

Design of High PAE Class-E Power Amplifier For Wireless Power Transmission

Design of a Low Power 5GHz CMOS Radio Frequency Low Noise Amplifier Rakshith Venkatesh

Application Note 5480

High Intercept Low Noise Amplifier for 1.9 GHz PCS and 2.1 GHz W-CDMA Applications using the ATF Enhancement Mode PHEMT

Design of Low Noise Amplifier Using Feedback and Balanced Technique for WLAN Application

Chapter 6. Case Study: 2.4-GHz Direct Conversion Receiver. 6.1 Receiver Front-End Design

50 W High Power Silicon PIN Diode SPDT Switch By Rick Puente, Skyworks Solutions, Inc.

DESIGN OF AN S-BAND TWO-WAY INVERTED ASYM- METRICAL DOHERTY POWER AMPLIFIER FOR LONG TERM EVOLUTION APPLICATIONS

High Power Wideband AlGaN/GaN HEMT Feedback. Amplifier Module with Drain and Feedback Loop. Inductances

A GHz Highly Linear Broadband Power Amplifier for LTE-A Application

High Efficiency Class-F MMIC Power Amplifiers at Ku-Band

10 GHz LNA for Amateur Radio by K5TRA

AM036MX-QG-R 1 WATT, 2 GHz POWER AMPLIFIER

Application Note 5379

Application Note A008

Design of low phase noise InGaP/GaAs HBT-based differential Colpitts VCOs for interference cancellation system

Inverse Class F Power Amplifier for WiMAX Applications with 74% Efficiency at 2.45 GHz

The New Load Pull Characterization Method for Microwave Power Amplifier Design

Push-Pull Class-E Power Amplifier with a Simple Load Network Using an Impedance Matched Transformer

Noise Reduction in Transistor Oscillators: Part 3 Noise Shifting Techniques. cross-coupled. over other topolo-

Development of Broadband Class E Power Amplifier for WBAN Applications

Research and Design of Envelope Tracking Amplifier for WLAN g

ATF High Intercept Low Noise Amplifier for the MHz PCS Band using the Enhancement Mode PHEMT

915 MHz Power Amplifier. EE172 Final Project. Michael Bella

On the Development of Tunable Microwave Devices for Frequency Agile Applications

LINEARIZED CMOS HIGH EFFECIENCY CLASS-E RF POWER AMPLIFIER

Analysis and Synthesis of phemt Class-E Amplifiers with Shunt Inductor including ON-State Active-Device Resistance Effects

This article describes the design of a multiband,

A Reconfigurable Micro-strip Patch Antenna for Various Wireless and Cognitive Radio Applications

Low Noise Amplifier for 3.5 GHz using the Avago ATF Low Noise PHEMT. Application Note 1271

Design and Fabrication of Stepped Impedance Multi- Function Filter

K-BAND HARMONIC DIELECTRIC RESONATOR OS- CILLATOR USING PARALLEL FEEDBACK STRUC- TURE

DESIGN ANALYSIS AND COMPARATIVE STUDY OF RF RECEIVER FRONT-ENDS IN 0.18-µM CMOS

Design of CMOS Power Amplifier for Millimeter Wave Systems at 70 GHz

A COMPACT DUAL-BAND POWER DIVIDER USING PLANAR ARTIFICIAL TRANSMISSION LINES FOR GSM/DCS APPLICATIONS

SX1261/2 WIRELESS & SENSING PRODUCTS. Application Note: Reference Design Explanation. AN Rev 1.1 May 2018

A COMPACT RECTENNA DEVICE AT LOW POWER LEVEL

SEMICONDUCTOR AN548A MICROSTRIP DESIGN TECHNIQUES FOR UHF AMPLIFIERS MOTOROLA APPLICATION NOTE INTRODUCTION MICROSTRIP DESIGN CONSIDERATIONS

The following part numbers from this appnote are not recommended for new design. Please call sales

This article has been accepted and published on J-STAGE in advance of copyediting. Content is final as presented.

A passive circuit based RF optimization methodology for wireless sensor network nodes. Article (peer-reviewed)

Design of a Dual Band Power Amplifier using Composite Right and Left Handed Transmission Lines

Uneven Doherty Amplifier Based on GaN HEMTs Characteristic

A Millimeter-Wave Power Amplifier Concept in SiGe BiCMOS Technology for Investigating HBT Physical Limitations

A 2.469~2.69GHz AlGaN/GaN HEMT Power Amplifier for IEEE e WiMAX Applications

Wide-Band Low Noise Amplifier for LTE Applications

6.776 High Speed Communication Circuits and Systems Lecture 14 Voltage Controlled Oscillators

Application Note 1299

Transcription:

Design of an Efficient Single-Stage and 2-Stages Class-E Power Amplifier (2.4GHz) for Internet-of-Things Ayyaz Ali, Syed Waqas Haider Shah, Khalid Iqbal Department of Electrical Engineering, Army Public College of Management & Sciences, Rawalpindi (46000), Pakistan Department of Electrical Engineering, Information Technology University, Lahore (54000), Pakistan National University of Science and Technology, Islamabad (46000), Pakistan ayyazali21@yahoo.com, waqas.haider@itu.edu.pk, kiqbal@ceme.nust.edu.pk arxiv:1812.01385v1 [eess.sp] 4 Dec 2018 Abstract In this work, the designs of a single-stage and 2-stage 2.4 GHz power amplifier (PA) are presented. The proposed PAs have been designed to provide high gain and improved efficiency using harmonic suppression and optimized impedance matching techniques. There are two harmonic suppression circuits, each stage of the PA consists of 2 capacitors and 2 inductors, which will help to suppress the harmonic frequency for 2.4 GHz. These suppression circuits will help to enhance the overall efficiency of the PAs. Both the PAs are provided with a VCC supply of 4.2V. Input and output impedances are matched to 50 ohms. Simulation and experimental results are presented, where the simulated gain and power added efficiency (PAE) for single stage PA are 17.58dB and 53%, respectively. While the experimental gain and PAE are 16.7dB and 49.5%, respectively. On the other hand, for 2-stages PA, simulated gain comes out to be 34.6dB and PAE is 55%, while the experimental gain and PAE are 30.5dB and 53.1%, respectively. The final design is being fabricated on the Taconic printed circuit board (PCB) with a thickness of 0.79mm and dielectric constant value of 3.2 and its dimensions are 4.6cm 3.4cm for single stage and 5.9cm 3.6cm for 2-stages PA. Index Terms 2.4 GHz power amplifier, class-e power amplifier, power added efficiency (PAE), Internet-of-Things I. INTRODUCTION There has been a lot of development in wireless communication in recent years. Especially with the advent of Internetof-Things (IoT), need for low cost and low power wireless communication systems are increasing rapidly with small size and enhanced efficiency. One of the most important parts of any wireless communication network is a power amplifier (PA) present at the transmit station [1]. Most of the IoT applications requires battery operated devices such as home and factory automation, smart cities and connected agriculture. These devices are designed such that they consume lesser and lesser power for their operation. Major consumption of power of a device is associated with its transmitter section, in which further mostly power is consumed by the PA of that transmitter. Such PAs need to be efficient enough so that they may use little battery power and provide enough gain which will enhance the power of an input signal. In any PA, two main characteristics which need the most consideration are the efficiency and linearity [2]. When designing a PA, the selection of the right circuit, class topology and semiconductor TABLE I: Comparison of Linearity and Efficiency between different Classes of PA Class Ideal Efficiency Linearity Practical Efficiency Class-A 50 % Good 35% Class-AB 50% - 78.5% Good 45% Class-B 78.5% Moderate 49% Class-C 78.5% - 100% Poor 55% Class-E 100% Poor 62% Class-F 100% Poor 80% greatly affects the linearity and efficiency. PAs can basically be classified as linear and nonlinear. The efficiency of nonlinear PA is much greater when compared to linear PA [3]. Out of different efficient classes (Class D, E, and F) of PA, Class- E is a suitable choice for the design of an efficient PA with switch mode input circuitry. A comparison of linearity and Fig. 1: Basic design of Class-E PA. efficiency between different classes of PAs are shown in Table 1 from where it can be seen that a Class-E topology for the design of an efficient PA would be a good choice. From [8] the selection of the topology is highly dependent upon the radio frequency (RF) choke size. If this size is to be finite in nature then the design calculation formula for Class-E PA will not be well-suited. Keeping the frequency and output power fixed, the Class-E PA have a power loss of 2.3 less as compared to Class-B or Class C amplifiers [9].

A simple PA is shown in Fig. 1 with Class-E configuration. Generally, there are two major types of amplifiers which are zero voltage switching (ZVS) and zero current switching (ZCS) [4]. The transistor in this class works as a switch which unlike in other linear amplifiers works simply as a current source. In Fig. 1 there is a resonator, a shunt capacitor and a RF choke which are used to change the phase of output current and voltage. The RF choke helps to increase the output power of the amplifier, without which, it becomes difficult to achieve due to the limitations of the shunt capacitor [5]. When a signal is applied at the input of transistor it switches according to that signal. The resonator circuitry at the output impedance matching circuit is configured such that it only allows the first harmonic frequency of operation to be available at the load. As stated by SOKAL in soft switching there is no overlapping of current and voltage waveform in ideal Class-E amplifier so no power is dissipated and its efficiency would be 100%. Fig. 2: Circuit diagram of Class-E PA with Harmonic Suppression circuit. The Capacitor C and inductor L together helps to suppress the harmonic frequencies at the load impedance matching network. The shunt capacitor helps to reduce the power losses of switching, unlike any other topology. Since the shunt capacitor at the output introduces delays at the rise time of turning ON and OFF of the transistor, this enables the soft switching [7, 10]. This soft switching property makes sure that the voltage and current at the switching time never become nonzero simultaneously. In an ideal Class-E P.A when the transistor is switched OFF then the voltage is maximum and current is minimum and when the transistor is switched ON the voltage drops down to its minimum value and current reaches to a maximum value and this helps in reducing the power dissipation while switching. To attain this characteristic, the frequency of operation must exist in the range of R1 < R < R2, where expressions for R 1, R 2, and C ap are given as follows, C ap = C 1 C 2 C 1 + C 2 (1) R 1 = R 2 = A. Contribution & Organization 1 2π L s C 1 (2) 1 2π Ls C 1 C 2 C 1+C 2 (3) This work has the following contributions: Design of two power-efficient and high output gain class- E PAs with single and two-stage configurations. Fabrication of the proposed single stage and 2-stage PA designs using the Taconic printed circuit board (PCB). Comparison of simulation as well as experimental results for output gain and power added efficiency (PAE) for both the proposed class-e PA. The rest of the paper is organized as follows, Section II explains the design methodology with class-e configuration. Section II also provide simulation and fabricated design and results for single stage class-e PA. Section III provides simulation and fabricated design and results for 2-stage class-e PA. Section IV provides a detailed comparison of the results of single stage and 2-stage class-e PA which are designed in the earlier sections. Finally section V concludes the paper. II. DESIGN METHODOLOGY WITH CLASS-E CONFIGURATION Fig. 2 shows an amplifier with dual harmonic suppression configuration which helps to enhance its efficiency. The input impedance matching is provided by the capacitors C 2 and C 3 between the source and gate of the transistor, while the output impedance matching is achieved with the help of the capacitor C 6 and matching stubs. Capacitors C 1 and C 7 work as the DC-Block capacitors while the inductors L 1, L 4, and L 5 prevents any alternating current (AC) signal from reaching the direct current (DC) supply. Maximum gain from the amplifier is derived by optimizing the input and output impedance matching circuits. DC supply voltage is another important factor which greatly affects the gain and efficiency so, proper biasing is provided by the use of resistors at the gate and drain of the transistor. In an ideal Class-E PA, a square wave is used in order to drive the gate of the transistor, but for shaping the input waveform to square wave, a non-linear gate capacitor cannot be used [6]. For this reason, the harmonic suppression circuits are used which help to shape the waveform and allow only the first harmonic of the frequency of operation. This circuit is placed perpendicular to C 2 and C 3 because it helps to minimize magnetic coupling between the components. A resistor may be added at the input or output circuit if the transistor is potentially unstable for the desired frequency. A. Implementation of Proposed Design When designing a Class-E PA the selection of transistor is very important, this will define the maximum gain and linearity which we can achieve. If the selected transistor is potentially unstable at the frequency of operation then a resistor will be required at the input or output circuit in order to make the

Fig. 3: Schematic diagram of single-stage PA with input and output matching circuits. transistor stable but it will reduce the overall output gain of the P.A, that s why a transistor with stable characteristic at the desired frequency is preferred. After selection of the transistor, it is best practice to test its linear model on the software which should produce the same results of current and voltage as mentioned in its datasheet. In the proposed PA we have used ATF-53189 transistor because of its high efficiency. B. Simulation Design of Proposed Single Stage P.A. The simulation for the design of proposed single stage Class-E PA is performed on advanced design system (ADS). As it is required to find the value of maximum PAE so a harmonic balance should be introduced in this simulation and for that the non linear model of transistor ATF-53189 is used. The main parameters which are needed in order to find the value of PAE are input RF power, output RF power, input DC voltage and input DC current. Parameter sweep range is selected from -10dB up to 20dB. Fig.3 shows the schematic diagram of PA with input and output matching circuits. The perfectly matched input and output impedance is achieved by tuning the capacitors and transmission lines for maximum output gain. Both the input and output matching circuits are matched with 50 Ohm impedance port. Test results for the schematic shown in Fig. 3 are revealed in Fig. 4(a) and 4(b). In Fig. 4(a) the output gain is found to be 18dBm. In Fig. 4(b) the value of total PAE is 45.5% and it can be seen that the PAE is improved and its maximum value is obtained at an input RF power of 14dBm. After the addition of harmonic suppression circuits and optimizing the impedance matching circuits the maximum PAE that could be achieved is 53% at an input RF power of (a) Output Gain (b) Power Added Efficiency Fig. 4: Proposed single-stage PA with input and output matching circuits. 16dBm while appending the H.S circuits the new gain of P.A is now 17.5dBm. Fig. 6(a) and 6(b) shows the final S-Parameter results together with PAE. To further improve the PAE of this Class-E PA two harmonic suppression circuits are added at the input side of amplifier. These circuits help to reduce the power consumed at the harmonic frequencies which will enhance the overall efficiency of this amplifier. The co-simulation of the added harmonic suppression circuits and optimized input output impedance matching circuits is shown in Fig. 5. C. Fabrication of the Proposed Design The proposed single stage PA is fabricated on taconic PCB with thickness of 0.79mm and Dielectric constant 3.2. The size of the PCB is 4.6cm x 3.4cm. The PA is matched to 50 ohm source and load ports. Proper grounding of top and bottom layer is performed by drilling holes and then using a wire to

Fig. 5: Co-simulation of proposed single-stage PA with Harmonic Suppression circuits. (a) Co-simulated S-parameters (b) Co-simulated PAE Fig. 6: Proposed single-stage class-e PA with Harmonic Suppression circuits. (a) Measured Output Gain (b) Measured PAE Fig. 8: Proposed single-stage class-e PA. gain of the PA is shown in Fig. 8(a). From this figure the measured output gain comes out to be 16.7dB which is very close to the simulated results. The plot for PAE can also be seen in Fig. 8(b). From this graph it can be seen that the maximum efficiency of 49.5% is achieved at an input RF power of 15dB which is also similar to the simulated results. Fig. 7: Fabricated design of proposed single-stage class-e PA. connect the top and bottom layer at different locations on the PCB. Fig. 7 shows the fabricated design of the proposed single stage PA. D. Measured Results Fig. 8 shows the measured results of the proposed single stage PA where for different values of frequencies, the output III. DESIGN OF PROPOSED 2-STAGE P.A. In the proposed 2-stages PA, two single stage PAs are connected in cascade fashion as shown in Fig. 9. The design of 2-stage PA is the same as was for the single stage, the only difference is the impedance matching circuit which is added between the two amplifiers while cascading. Resistors R7, R8 and R9 are the biasing resistors for the 1st stage while resistors R10, R11 and R12 are for 2nd stage of the 2-stages PA. Capacitor C2 and transmission line TL2 are the input impedance matching circuits while capacitor C14 and C11 are the output matching circuits. The impedance matching between the 1st stage and 2nd stage of the Amplifier is achieved with the help

Fig. 9: Schematic diagram of the proposed 2-stage class-e PA. (a) S 21 VS Frequency (b) PAE vs Input RF power Fig. 10: Simulated two-stages class-e PA. (a) S 21 VS Frequency (b) PAE vs Input RF power Fig. 11: Co-simulated two-stages class-e PA. of capacitor C17 and transmission line TL1. The capacitor C17 also helps to prevent any interference of 1st stage biasing circuit with the 2nd stage biasing circuit. Capacitors C4 and C11 are the coupling capacitors while inductors L1-L3 and L6- L8 are DC pass inductors to stop the AC signal from going towards DC power supply. Unwanted harmonics are filtered by inductors L4, L5, L9, L10 and capacitors C8, C9, C15 and C16. The Supply voltage VCC is kept 4.2 volts as was for single stage PA but its current consumption would be twice than single stage as there are two PA cascaded. This PA design was targeted towards better output gain while compensating for little loss in efficiency. From Fig. 10(a) and 10(b), the output gain parameter S21 comes out to be 26.45dB while the PAE is 31.6%. For optimizing and tuning the two-stages PA, first the schematic diagram is moved for co-simulation and then it is simulated to get the optimized results, next step is the tuning where different components are selected for tuning and while changing the values of lumped components results are improved. In our design the input-output matching circuits and DC blocking capacitors are tuned to get maximum gain from this 2-stages PA. In Fig. 11(a) and 11(b) plots for gain and PAE are shown. It is clear that the optimizing and tuning Fig. 12: Fabricated design of the Proposed 2-stages class-e PA. of schematic in co-simulation has increased the gain of PA and now it has improved up to 34.6dB which is more than twice as was for single stage PA. The PAE came out to be 55.4%. A. Fabrication of the Proposed Design The 2-stages PA is fabricated on taconic PCB with dielectric constant value of 3.2 and thickness of 0.79mm as shown in Fig. 12. The dimensions of the capacitors and inductors used here are according to the standard of 0805 and 1206 respectively.

privacy then the proposed single stage PA should be selected as it will transmit signals to a shorter distance and there will be less chances for any intruder to hack the signal. (a) Measured Output Gain (b) Measured PAE Fig. 13: Measured results of the proposed two-stages class-e PA. (a) Measured Output Gain (b) Measured PAE Fig. 14: Comparison between single-stage and 2-stage class-e PAs. The grounding of transistor is directly done using thin wires with the lower side of the PCB as it affects the gain of the PA. The dimensions of the PCB are 5.9cm x 3.6cm. B. Measured Results The measured output gain of 2-stage PA is shown in Fig.13(a). The maximum gain achieved at 2.4GHz is 30.5dB which is very close to the simulated results. For 2-stage PA the maximum PAE is measured and found to be 53.1% which is shown in Fig.13(b). IV. RESULT COMPARISON OF SINGLE STAGE AND 2-STAGE P.A. A comparison of measured total output gain and PAE is carried out between the single stage and 2-stages PA and is shown in Fig.14(a) and 14(b). As can be seen from Fig.14(a) the output Gain of 2-stages PA is twofold as compared to the gain of single stage PA but the graph is more linear incase of single stage. In Fig.14(b) there is a linear rise of PAE for both single stage and 2-stages PA but the later one is showing a greater peak as compared to the single stage. One can conclude further from the above presented results that the proposed 2-stage PA is far more better than the single stage for total output gain as well as PAE, but if the requirement is just the linearity than the proposed single stage PA would be a better choice. Since the output gain of 2-stage PA is twice than the single stage so for a longer distance communication this amplifier would be an appropriate choice, also it will give better efficiency but it will cost more input DC power whereas if there is a requirement of security and V. CONCLUSION In this work, the design of an efficient single stage and 2-stage PAs have been presented with high output gain. In order to improve the efficiency and output gain of these PAs, harmonic suppression and the optimized impedance matching circuits are used. The proposed PAs shows good simulation and experimental results, where the measured efficiency of single stage and 2- stage PAs comes out to be 49.5% and 51.3%, respectively. Similarly the experimental output gain for single stage and 2- stages PAs are 16.7dB and 30.5dB, respectively. These results show that the proposed PAs are very useful in various IoT applications which are energy and resource-constrained. Applications like smart farming and connected agriculture require such devices which are power-efficient and our designed single stage class-e PA can be a good candidate for it. On the other hand, for applications with high-efficiency requirements such as factory and process automation, our designed 2-stage class- E PA can play an important role. REFERENCES [1] Shah, S. W. H., Amin, S., & Iqbal, K. (2016). An adaptive algorithm for mu-mimo using spatial channel model. International Journal of Engineering (IJE), 10(1), 1. [2] van der Heijden, M. P., Acar, M., & Vromans, J. S. (2009, June). A compact 12-watt high-efficiency 2.1-2.7 GHz class-e GaN HEMT power amplifier for base stations. In Microwave Symposium Digest, 2009. MTT 09. IEEE MTT-S International (pp. 657-660). IEEE. [3] Jie, S., Shulin, Z., Lei, C., Liang, T., Jin, Z., Ying, R.,... & Zongsheng, L. (2010, September). A 2.4 GHz high efficient monolithic Class E power amplifier. In Microelectronics and Electronics (PrimeAsia), 2010 Asia Pacific Conference on Postgraduate Research in (pp. 271-274). IEEE. [4] Meshkin, R., Saberkari, A., & Niaboli-Guilani, M. (2010, December). A novel 2.4 GHz CMOS class-e power amplifier with efficient power control for wireless communications. In Electronics, circuits, and systems (ICECS), 2010 17th IEEE international conference on (pp. 599-602). IEEE. [5] Thian, M., Fusco, V., & Gardner, P. (2010, December). 2.4 GHz highefficiency power-combining Class-E amplifier with transmission-line harmonic traps. In Microwave Conference Proceedings (APMC), 2010 Asia-Pacific (pp. 666-669). IEEE. [6] Banerjee, A., & Chatterjee, A. (2013, May). An adaptive class-e power amplifier with improvement in efficiency, reliability and process variation tolerance. In Circuits and Systems (ISCAS), 2013 IEEE International Symposium on (pp. 745-748). IEEE. [7] Wu, R., Li, Y., Lopez, J., & Lie, D. Y. (2011, August). Design trade-offs for single-ended vs. differential Class-E SiGe bipolar power amplifiers with through-wafer-vias at 2.4 GHz. In Circuits and Systems (MWSCAS), 2011 IEEE 54th International Midwest Symposium on (pp. 1-4). IEEE. [8] Ostrovskyy, P., Scheytt, J. C., Sadeghfam, A., & Heuermann, H. (2012, October). Performance estimation of fully digital polar modulation driving a 2 GHz switch-mode power amplifier. In Microwave Integrated Circuits Conference (EuMIC), 2012 7th European (pp. 659-662). IEEE. [9] Raab, F. (1977). Idealized operation of the class E tuned power amplifier. IEEE transactions on Circuits and Systems, 24(12), 725-735. [10] Ali, A., & Shah, S. W. H. (2017, April). Design of a 1 GHz power amplifier with high output gain for antenna measurement trainer system. In Communication Technologies (ComTech), 2017 International Conference on (pp. 22-26). IEEE.