Passive Transformer Hurdles Impedance Matching for Antenna D esigning mobile communication antennas installed in latest mobile communication terminals has been progressively becoming more difficult. The reason being the wide frequency bands being used by these mobile communication terminals coupled with the addition of new communication systems, such as Long Term Evolution (LTE). Meanwhile, the available space for antennas in mobile communication terminals is becoming smaller because of the increasing volume of rechargeable batteries. Therefore, reducing the size of the antennas is considered to be an urgent issue. When the size of an antenna is reduced, however, the antenna’s impedance tends to become lower in comparison with the input/output impedance (50-Ω transmission line) of a radio frequency (RF) circuit. Under these conditions, manufacturers are facing a dilemma where it is difficult to Fig. 2: Equivalent circuit of transformer that contains parasitic element match the impedance of an RF circuit with the impedance of an antenna in all communication bands. LC Component Issues To achieve impedance matching, it is a common practice at present to use LC components, such as inductors (L) and capacitors (C). The Antenna Q (quality factor), however, is known to degrade after impedance matching is performed, and the bandwidth declines as LC components generate frequency characteris- Fig. 1: Reversing the ground and antenna connection ports tics in the reactance component. Transformers, which are mainly used in the low frequency range, are an example of components that are not easily affected by frequency characteristics during impedance conversion. A transformer converts impedance using a percentage of the inductance (L value) of two coils (transformer coils) in the state of magnetic-field coupling. As a result, the transformer does not have frequency characteristics in an ideal state. Murata Manufacturing Co., Ltd. has come up with an idea of using this method for impedance matching. Results of Transformer Adoption There are three problems that arise in the use of a transformer for mobile communication antennas: (1) Difficulty to achieve a high coupling coefficient since the magnetic permeability of the magnetic material becomes approximately one in the microwave band; (2) Significant effect of transformer loss because an antenna has low input impedance; (3) Varying input impedance value of an antenna depending on the frequency band. Because of these problems, transformers have not been used for impedance matching of mobile communication antennas until now. Murata has resolved these problems using the company’s unique approach. The coupling coefficient changes according to the distance between two transformer coils, which configure a transformer, and the relativity of the shape of magnetic flux produced by the AEI March 2014 Copyright©2014 Dempa Publications, Inc. 19 Fig. 3: Prototype high-frequency transformer coils. Therefore, Murata has developed an architecture that freely controls the inductance value of each coil in a state where the shapes of transformer coils are identical. This is done in order to control the transformer ratio while maintaining a high coupling coefficient. By configuring this architecture in low temperature co-fired ceramics (LTCC), it is possible to make the distance between transformer coils by several tens of micrometers. The company was able to achieve a transformer coupling coefficient of 0.7 or higher even in the microwave band. Reversing Connecting Port Because a high-frequency transformer is connected to an antenna that has an impedance of about 10Ω, the insertion loss (I.L.), which occurs depending on the characteristics of the transformer materials, seems larger in comparison with a high-frequency device connected to a 50-Ω transmission line. For that reason, it has become difficult to use conven- tional transformers with a high inductance value and a resistance component (used in the low-frequency range) in the high-frequency range. Therefore, Murata has adopted the configuration of the high-frequency transformer in order to reduce this resistance component and maintain the transformer ratio. This transformer has a structure that connects the ground and antenna connection ports of a standard transformer structure in reverse. Using this structure makes it possible to obtain the transformer ratio (Fig. 1.) When this structure is applied, it is possible to reduce the inductance value of the coil used in a transformer and maintain the insertion loss, which is caused by the resistance component of a high-frequency transformer, to a low level because the mutual induction (M) that occurs due to coupling is reflected on the transformer. Compliance of Transformer Ratio The communication bands that are used for mobile communication anten- Fig. 4: S22 of prototype transformer and conceptual image of its operation 20 AEI March 2014 Copyright©2014 Dempa Publications, Inc. nas are classified based on the 1GHz boundary into two ranges, namely the low band (low range) and the high band (high range). For open antennas, normally the fundamental wave of the antenna is allocated to the low band, whereas the higher harmonic wave of the antenna is allocated to the high band. When the antenna is not provided with an impedance matching function such as a short pin, the real part of impedance in the low band will often become about 10Ω, whereas the real part of impedance in the high band will often become about 19Ω. When a transformer with a constant transformer ratio is installed in such an antenna, impedance matching can be performed for either one of the bands only. Therefore, it is necessary to design the antenna transformer in such a way that the transformer ratio complies with the impedance frequency characteristic of the antenna. This compliance method using an equivalent circuit, which was disassembled into an ideal transformer block and a parasitic element block, is explained in Fig. 2. The parasitic element of this newly developed transformer structure can be expressed by the two parasitic elements of “inductor in series” and “inductor in parallel.” Among these parasitic elements, the influence of the parasitic element connected in series can be reduced by increasing the coupling coefficient. The parasitic element connected in parallel, however, occurs even if the coupling coefficient (k) is 1. It is impossible to eliminate the influence of the parasitic Fig. 5: Impedance matching using high-frequency transformer element in parallel in a high-frequency transformer, which must be designed with a small inductance value. It is possible, however, to make the transformer ratio comply with the impedance frequency characteristic of an antenna by controlling the value of this parasitic element in parallel. The value of the parasitic element in parallel can be controlled by changing the inductance value of transformer coils. In this development effort, the company has discovered a combination of the inductance (L) value and the coupling coefficient that can optimally control the parasitic element in parallel. impedance of the antenna connection side and the conceptual diagram of operation when the RF circuit side of this prototype product is connected to a 50-Ω transmission line measuring instrument (Fig. 4). This prototype transformer converts the low band (892MHz) from 12 to 50Ω and the high band (1940MHz) from 19 to 50Ω. When a standard LC circuit is con- Fig. 6 (a): Antenna shape of LC circuit Original [dB] Fig. 6 (b): Shape of antenna mounted with high-frequency transformer High-frequency transformer 0 1710-2210MHz Original [dB] High-frequency transformer 56787 0 -1 -2 -2 -3 -4 -4 -5 -6 -6 -7 -8 -8 -9 -10 -10 -12 700 900 1100 1300 1500 1700 1900 Fig. 6 (c): S11 characteristic 2100 2300 824 836.5 849 869 880 881.5 894 897.5 915 925 942.5 960 1710 1747.5 1785 1805 1842.5 1850 1880 1910 1920 1930 1950 1960 1980 1990 2110 2140 2170 Prototype Transformer Murata has developed and evaluated a prototype high-frequency transformer with the abovementioned structure in order to simplify impedance matching of an antenna. The dimensions of this prototype surface-mount device product are 2.0 × 1.25 × 0.6mm (Fig. 3). The Fig. 6 (d): Total efficiency comparison Fig. 6: Comparison of antenna shapes and their characteristics AEI March 2014 Copyright©2014 Dempa Publications, Inc. 21 Fig.7: Efficiency test of the transformer relative to the reduction in antenna area nected to an antenna, impedance matching in wide bands is difficult due to frequency characteristics. On the other hand, when this new prototype highfrequency transformer is connected to the antenna, both the low band and the high band are converted to optimal impedance values. In other words, the impedance traces can be changed into a shape that makes it easy to match the impedance on the Smith chart. After that, the impedance can be easily integrated closer to 50Ω by simply performing finer adjustment of the phase of impedance traces using an external adjustment device (Fig. 5). Evaluating Prototype To find out the advantages of this prototype high-frequency transformer, Murata evaluated it by comparing the antenna characteristics of actual mobile communication terminals with and without this transformer. The company used the commercially available ISW16SH smartphone by Sharp to compare and evaluate the characteristics when impedance matching was performed on an LC circuit and those when using a high-frequency prototype transformer (Fig. 6). The ISW16SH smartphone has a Universal Serial Bus (USB) connector immediately below the antenna portion. This structure made the evaluation difficult when the electric field of the antenna and this connector are coupled. The results of this evaluation test in the low band indicated that both the LC circuit and the high-frequency transformer were unable to achieve “S11 < -6dB” (reflection loss of 1.2dB). In the high band, however, the portion that complied with 22 AEI March 2014 Copyright©2014 Dempa Publications, Inc. “S11 < -6dB” was only 300MHz when the LC circuit was used, but it was 500MHz when the prototype high-frequency transformer was used. The results show an improvement effect of 66 percent when the prototype high-frequency transformer is used (Fig. 6-(c)). The company also achieved an improvement of 0.6dB (Fig. 6-(d)) at the high-frequency side in the low band for the “total efficiency,” which indicates the overall characteristics of an antenna with the LC circuit and the highfrequency transformer. The implementation of a broader bandwidth and the reduction of insertion loss have made this improvement possible. Next, the company verified the effectiveness of using its prototype transformer in terms of reducing the antenna size. Normally, antenna characteristics improve when the antenna is farther away from the ground (GND). However, when a large space (area excluding GND) is provided for the antenna in a mobile communication device, it constrains the mounting space of components besides the antenna. Therefore, size reduction of the antenna amounts to reducing the antenna area. To achieve this goal, the company evaluated the change of antenna characteristics by allocating a part of the antenna area to the GND space (Fig. 7-(a)). When a 13mm-wide portion of a 52mm-wide area in the horizontal direction of the entire antenna area was allocated to the GND space, the antenna characteristics in the low band degraded and the total efficiency became equivalent to that of the LC circuit (Fig. 7-(b)). This result indicates that the antenna area can be reduced by approximately 25 percent in real terms. As mentioned above, the company has verified that its newly developed prototype high-frequency transformer can improve the antenna characteristics more than the conventional LC circuit. In other words, it has become possible to achieve a stable impedance matching characteristic in the entire frequency band by making the transformer ratio of a high-frequency transformer comply with the real part of impedance in both the low band and the high band of an antenna. Murata has introduced the newly developed device into the market. The company expects this device to be used effectively as a third impedance matching device following inductors and capacitors. This device is a passive component that uses a transformer. Therefore, it does not conflict with products with active devices such as switches, which are moving ahead in other fields, as in the case with inductors and capacitors. On the contrary, this product has a rather high affinity with products that use active devices. Antennas must continue to evolve in the future in order to cope with the implementation of more multi-functionality in mobile terminals. Murata strongly believes that this device will contribute to the evolution of antennas. About This Article: The author, Kenichi Ishizuka, is from the Product Development Section II, Technology Integrated Products Department, New Products & Business Division, Murata Manufacuturing Co., Ltd.