Closed form of optimal current waveform for class-F PA up to fourth harmonic

Juhas, Anamarija; Novak, Ladislav A.

doi:10.1007/s12046-015-0339-9

Cited by 3 publications

(4 citation statements)

References 22 publications

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“…The waveform factors in this case are not easy to be determined analytically as those of the maximally flat waveform. A technique based on Fejer-Riesz's theorem of non-negative trigonometric polynomials together with the method of Lagrange multipliers can be employed to evaluate the waveform factors after converting the problem into an optimization one for maximizing γ V 1 [17,18]. The evaluated factors for the two cases are summarized in Table 1.…”

Section: Drain Voltage With Second and Third Harmonic Tuningmentioning

confidence: 99%

High efficiency continuous mode RF power amplifier based on second and third harmonic manipulation

Ali

Al-Muifraje

Saeed

2020

Int. J. Microw. Wireless Technol.

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Continuous mode class-J radio-frequency (RF) power amplifier is a promising technique that extends the operating bandwidth of the conventional class-B power amplifier. However, the maximum theoretical efficiency is limited to that of the class-B power amplifier. In this paper, an enhanced mode of operation for the class-J power amplifier is proposed by incorporating a third harmonic voltage component to produce an optimum waveform for maximizing the fundamental voltage component and thereby to increase the drain efficiency and introduce a new design space. A detailed derivation for the necessary relations of output power, drain efficiency, and the required harmonic load impedances is provided, showing a significant improvement in theoretical maximum efficiency from 78.5 to 89.8%. In order to confirm the developed analytic approach, a 10 W prototype amplifier model was designed and fabricated to operate within the global system for mobile communications (GSM) frequency band 850–950 MHz using a commercial GaN power high electron mobility transistor (HEMT). The experimental results have indicated that the drain efficiency of the circuit varies from 68 to 80% within the desired band.

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Section: Drain Voltage With Second and Third Harmonic Tuningmentioning

confidence: 99%

High efficiency continuous mode RF power amplifier based on second and third harmonic manipulation

Ali

Al-Muifraje

Saeed

2020

Int. J. Microw. Wireless Technol.

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“…where ( =0) is given by (8). For the prescribed conduction angle, parameter ( =0) is a function of 0( ) only, which implies that ( , =0) is also a function of 0( ) only.…”

Section: Optimal Current Waveform Of Class-f and Inverse Class-f Pamentioning

confidence: 99%

“…which further implies that optimal waveform of type ( , =0) ( ) is continuous; that is, it is of type (6). After substitution of (12) into (8) and solving the resulting equation, we obtain parameter of continuous waveform of type (6) that satisfies condition ( ) = 0, which we denote by ( =0)cont . This parameter is a function of conduction angle only:…”

Section: Optimal Current Waveform Of Class-f and Inverse Class-f Pamentioning

confidence: 99%

“…There is continuous interest in class-F PA and its dual inverse class-F PA (see, e.g., [1][2][3][4][5][6][7][8]). Finding optimal and suboptimal nonnegative waveforms for PAs also attracted substantial interest within the research community (see, e.g., [5,[9][10][11][12][13][14][15][16]) and can be regarded as a part of the so-called waveform engineering [15,16].…”

Section: Introductionmentioning

confidence: 99%

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On Optimal Truncated Biharmonic Current Waveforms for Class-F and Inverse Class-F Power Amplifiers

Juhas

Dautovic

Novak

2017

Mathematical Problems in Engineering

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In this paper, two-parameter families of periodic current waveforms for class-F and inverse class-F power amplifiers (PAs) are considered. These waveforms are obtained by truncating cosine waveforms composed of dc component and fundamental and either second(k=2)or third(k=3)harmonic. In each period, waveforms are truncated to become zero outside of a prescribed interval (so-called conduction angle). The considered families of waveforms include both discontinuous and continuous waveforms. Fourier series expansion of truncated waveform contains an infinite number of harmonics, although a number of harmonics may be missing. Taking into account common assumptions that for class-F PA the third(n=3)harmonic is missing in current waveform and for inverse class-F PA the second(n=2)harmonic is missing in current waveform, we consider the following four cases: (i)n=k=3,(ii)n=3,k=2,(iii)n=k=2,and (iv)n=2,k=3.We show that, in each of these cases, current waveform enabling maximal efficiency (optimal waveform) of class-F and inverse class-F PA is continuous for all conduction angles of practical interest. Furthermore, we provide closed-form expressions for parameters of optimal current waveforms and maximal efficiency of class-F (inverse class-F) PA in terms of conduction angle only. Two case studies of practical interest for PA design, involving suboptimal current waveforms, along with the results of nonlinear simulation of inverse class-F PA, are also presented.

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Switch-Mode Power Amplifiers

Božanić

Sinha

2015

Signals and Communication Technology

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Closed form of optimal current waveform for class-F PA up to fourth harmonic

Cited by 3 publications

References 22 publications

High efficiency continuous mode RF power amplifier based on second and third harmonic manipulation

High efficiency continuous mode RF power amplifier based on second and third harmonic manipulation

On Optimal Truncated Biharmonic Current Waveforms for Class-F and Inverse Class-F Power Amplifiers

Switch-Mode Power Amplifiers

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