Abstract:In Fifth Generation (5G) Multiple-Input Multiple-Output (MIMO) transceivers, Power Amplifiers (PAs) driving antenna arrays experience varying loading conditions. In fact, the input impedance of each antenna element changes within a Smith chart region, a phenomenon attributed to mutual coupling, which will affect PA behavior. Although PA performance is load dependent, its output power and drain efficiency contours are nearly constant along specific straight lines in the Smith chart, a characteristic that can be… Show more
“…If ≠ 0 is constant, we observe that the expression (5) represents radial lines in the normalized impedance (z plane). Fig.…”
Section: A Constant Q Circle Arcs On the 2d Smith Chartequationsmentioning
confidence: 98%
“…Imposing now Q constant and positive in (3) one gets the contours obtained in [8][9][10][11][12][13][14][15][16][17] irrespective of the presence of the absolute value in (1). However, by using inversive geometry [18], it can be proven that imposing (5) in (3), the set of radial constant Q lines is proven to generate a family of coaxal circles as r and x are swept from -∞ to +∞.…”
Section: A Constant Q Circle Arcs On the 2d Smith Chartequationsmentioning
confidence: 99%
“…The Smith chart [1][2], which, was invented by Philip Hagar Smith in 1939, has survived the passing of years, becoming an icon of microwave engineering [3]. It is still being used in the design and measurement stage of various radio frequency or microwave range devices [4][5][6][7], for plotting a variety of frequency dependent parameters. Constant quality factor (Q) representations on the Smith chart are a visual way to determine the quality factor of various passive microwave circuits, being mostly known in the microwave frequency range community [8][9][10][11][12][13][14][15][16][17].…”
The article firstly proves that the constant quality factor (Q) contours for passive circuits, while represented on a 2D Smith chart, form circle arcs on a coaxal circle family. Furthermore, these circle arcs represent semicircles families in the north hemisphere while represented on a 3D Smith chart. On the contrary, it then shows that, the constant Q contours for active circuits with negative resistance form complementary circle arcs on the same family of coaxal circles in the exterior of the 2D Smith chart. Moreover, we reveal that these constant Q contours represent complementary semicircles in the south hemisphere while represented on the 3D Smith chart for negative resistance circuits. The constant Q semicircles implementation in the 3D Smith chart computer aided design (CAD) tool is then successfully used to evaluate the quality factor variations of newly fabricated Vanadium dioxide inductors, directly from their reflection coefficient, as the temperature is increased from room temperature to 50 degrees Celsius (°C). Thus, a direct multi-parameter frequency dependent analysis is proposed including Q, inductance and reflection coefficient for inductors. Then, quality factor direct evaluation is used for two tunnel diode small signal equivalent circuits analysis, allowing for the first time the direct analysis of the Q and input impedance on a 3D Smith chart representation of a circuit, while including negative resistance.
“…If ≠ 0 is constant, we observe that the expression (5) represents radial lines in the normalized impedance (z plane). Fig.…”
Section: A Constant Q Circle Arcs On the 2d Smith Chartequationsmentioning
confidence: 98%
“…Imposing now Q constant and positive in (3) one gets the contours obtained in [8][9][10][11][12][13][14][15][16][17] irrespective of the presence of the absolute value in (1). However, by using inversive geometry [18], it can be proven that imposing (5) in (3), the set of radial constant Q lines is proven to generate a family of coaxal circles as r and x are swept from -∞ to +∞.…”
Section: A Constant Q Circle Arcs On the 2d Smith Chartequationsmentioning
confidence: 99%
“…The Smith chart [1][2], which, was invented by Philip Hagar Smith in 1939, has survived the passing of years, becoming an icon of microwave engineering [3]. It is still being used in the design and measurement stage of various radio frequency or microwave range devices [4][5][6][7], for plotting a variety of frequency dependent parameters. Constant quality factor (Q) representations on the Smith chart are a visual way to determine the quality factor of various passive microwave circuits, being mostly known in the microwave frequency range community [8][9][10][11][12][13][14][15][16][17].…”
The article firstly proves that the constant quality factor (Q) contours for passive circuits, while represented on a 2D Smith chart, form circle arcs on a coaxal circle family. Furthermore, these circle arcs represent semicircles families in the north hemisphere while represented on a 3D Smith chart. On the contrary, it then shows that, the constant Q contours for active circuits with negative resistance form complementary circle arcs on the same family of coaxal circles in the exterior of the 2D Smith chart. Moreover, we reveal that these constant Q contours represent complementary semicircles in the south hemisphere while represented on the 3D Smith chart for negative resistance circuits. The constant Q semicircles implementation in the 3D Smith chart computer aided design (CAD) tool is then successfully used to evaluate the quality factor variations of newly fabricated Vanadium dioxide inductors, directly from their reflection coefficient, as the temperature is increased from room temperature to 50 degrees Celsius (°C). Thus, a direct multi-parameter frequency dependent analysis is proposed including Q, inductance and reflection coefficient for inductors. Then, quality factor direct evaluation is used for two tunnel diode small signal equivalent circuits analysis, allowing for the first time the direct analysis of the Q and input impedance on a 3D Smith chart representation of a circuit, while including negative resistance.
“…From the PA perspective, there are different mechanisms to compensate the degrading effect due to load variations [2]. These can be arranged in three main categories: 1) circulators/isolators which eliminate PA-antenna interactions and impose a one-directional signal flow; 2) tunable matching networks (TMNs) and resistance compression networks; 3) load insensitivity PA topologies.…”
The time-varying loading conditions that power amplifiers (PAs) experience in active antenna systems degrade their overall performance. Consequently, the design of linear and highly-efficient PAs under mismatch is more important than ever. In this paper, different common and promising PA architectures, i.e. class-B, balanced, Doherty (DPA) and load-modulated-poweramplifier (LMBA), are analyzed under mismatch. Their sensitivity in terms of linearity, efficiency and output power is compared under a LTE signal excitation. Average drain efficiency (DE), average output power, normalized-mean-square-error (NMSE) as well as maximum output power variations are presented for each architecture as function of the voltage-standing-waveratio (VSWR). Thereby, the most suitable PA architecture to be integrated in active antenna systems may be identified.
“…Transmission line resistance compression networks (TLRCNs) are very promising, but they require at least two loads varying synchronously [11]. Various tunable matching networks (TMNs), using varactors [12], [13], switched capacitor banks [14], or switched variable-length stubs [15] to perform a dynamic load matching, have also been implemented. This approach is very versatile and has a good tunability range but suffers from the extra losses added by the additional tunable components.…”
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.