A Compact Size Wideband RF-VGA Based on Second Generation Controlled Current Conveyors

: This paper presents a methodology to design a wideband radio frequency variable gain ampliﬁer (RF-VGA) in a low-cost SiGe BiCMOS 0.35 µ m process. The circuit uses two Class A ampliﬁers based on second-generation controlled current conveyors (CCCII). The main feature of this circuit is the wideband input match along with a reduced NF (5.5–9.6 dB) and, to the authors’ knowledge, the lowest die footprint reported (62 × 44 µ m 2 area). The implementation of the RF-VGA based on CCCII allows a wideband input match without the need of passive elements. Due to the nature of the circuit, when the gain is increased, the power consumption is reduced. The architecture is suitable for designing wideband, low-power, and low-noise ampliﬁers. The proposed design achieves a tunable gain of 6.7–18 dB and a power consumption of 1.7 mA with a ± 1.5 V DC supply. At maximum gain, the proposed RF-VGA covers from DC up to 1 GHz and can ﬁnd application in software design radios (SDRs), the low frequency medical implant communication system (MICS) or industrial, scientiﬁc, and medical (ISM) bands.


Introduction
In radio frequency integrated circuits, the design of wideband amplifiers has been intensively discussed over the past few decades [1]. The most widely used wideband amplifier architecture is the distributed amplifier, which requires high power consumption and a large area due to the considerable number of stages and the extensive use of inductors [2][3][4].
Another commonly used technique is the use of feedback amplifiers [5][6][7][8][9][10]. This solution offers a good return loss, but, due to the feedback, it is difficult to achieve a low noise figure with a reasonable power consumption.
As an alternative to these two previous topologies, some authors have proposed the design of wideband circuits by converting narrowband circuits into broadband [11][12][13]. This is usually achieved by modifying the input matching network to act as a broadband filter and replacing the narrowband load (typically a tank circuit) with any of the wideband RC load implementations: series-peaking, shunt-peaking, shunt-series-peaking, etc. [14][15][16]. Again, as in the case of the distribute amplifier technique, the main limitation of this solution is the area as they use a large number of inductors. Note that the issues of large area and high power consumption are aggravated when variable gain is desired.
To reduce the area constraints, some authors have proposed the use of common-base or common-gate wideband amplifiers [14][15][16]. These topologies take advantage of the fact that, in such configurations, it is possible to obtain a broadband input impedance equal to 50 Ω by properly biasing the transistor. However, the gain and noise figure are determined by this biasing and consequently fixed to a certain value.
At system level, when implementing a wideband analog RF front-end, the most popular scheme includes a wideband low noise amplifier (LNA) followed by a variable gain amplifier (VGA). This maximizes the dynamic range of the upcoming stages and prevents the saturation of the receiver if a high-powered signal is received [17]. In these cases, the implementation of a wideband RF-VGA is of upmost interest.
This work addresses the design of a very compact, low power, low voltage, and high bandwidth RF-VGA using second generation controlled current conveyors. A CCCII is a four terminal device that can perform many useful analog signal processing functions when arranged with other electronic elements in specific circuit configurations [18]. CCCIIs have been successfully used in high frequency current mode applications such as filters [19] and LNAs [20]. The proposed radio frequency variable gain amplifier (RF-VGA) is based in the CCCII proposed in [21] and has been designed and fabricated in a low cost 0.35 µm SiGe BiCMOS technology. The rest of the paper goes as follows: Section 2 reviews the CCCII and describes the proposed RF-VGA topology and the design methodology, Section 3 focuses on the circuit performance and the analysis of the obtained results; finally, some conclusions are drawn in Section 4.

RF-VGA Based on the Current Conveyor
CCCIIs can be used to implement numerous functions, such as filtering, amplification, or impedance transformation. They also provide better performance than traditional OTAs, namely, improved power consumption and larger cut-off frequency [19].
A CCCII is a device with three ports (X, Y and Z) and a DC bias current (I 0 ). Each port is characterized by an impedance (Z X , Z Y and Z Z ) resulting from the implementation of the conveyor with non-ideal components. These impedances are defined by parasitic elements, which are highly dependent on the selected technology of fabrication and the bias current I 0 . Thus, the concept of controlled current conveyor appears due to this dependence on I 0 . The relationship that governs the interactions between the ports of the conveyor is defined as follows: • between ports X and Z the device acts as a current follower, • between ports Y and X it operates as a voltage follower, • between ports Z and Y it behaves as a transconductor.
The matrix that defines these relationships is given by where Y Y is the conductance of port Y, and Y Z , the conductance of port Z. In addition, the terms α(s) and β(s) represent the unity current and voltage transfer functions. The resistive component of Z X (defined as R X ) is particularly relevant since it can be used to define the interaction between ports. Variable gain amplifiers can be implemented using CCCIIs [19][20][21], where the gain tuning is performed by means of adjusting the bias current of the conveyor. The dependence of R X on the bias current I 0 can be exploited to provide wideband input matching without including a single passive component, resulting in a circuit with a very low input return loss. This situation is desirable in scenarios where the amplifier is the first integrated circuit in the reception path. For example, if a preceding LNA is added externally, the proposed RF-VGA facilitates impedance matching with this element, and the signal coming from the LNA is received with a very low loss. In addition, the proposed design can potentially obtain a high cut-off frequency and low die footprint due to the reduced number of active devices needed to implement the conveyor.
To implement an RF-VGA, two CCCII blocks are connected as shown in Figure 1 [20]. Provided that the impedances Z X1 and Z X2 are entirely resistive, V I N (t) is transformed into a current I I N (t). This current is then converted into a voltage signal again thanks to Z X2 . Due to the relationship between R X and the bias current I 0 , it can be proved that the gain G of the amplifier reduces to: Since the node Y 1 presents a high input impedance [19], the input signal is applied at node X 1 . By doing so, the input impedance is reduced and can be controlled by the bias current I 01 . Thus, the input impedance Z I N of the RF-VGA can be adjusted by means of adjusting the value of the bias current I 01 , which is fixed to obtain |Z I N | = 50 Ω.
The value of the bias current I 01 can be fixed to perform wideband input matching, and so the gain can be adjusted by setting the value of I 02 . Due to the inversely proportional relationship given by (2), it is possible to increase the gain by reducing the bias current I 02 . Therefore, higher gain settings lead to lower power consumption. A simple Class-A implementation scheme with CCCIIs is shown in Figure 2a. To obtain the structure depicted in Figure 1, nodes Z 1 and X 2 must be connected together, yielding the circuit depicted in Figure 2b. As mentioned above, the input signal is applied at node X 1 to facilitate input matching, allowing the elimination of transistor Q 11 . The resulting scheme after simplification is presented in Figure 3. With this result, the number of BJTs is reduced as much as possible, yielding a higher cut-off frequency and a better noise performance [22]. The required values of the bias current I 01 obtained in simulation to achieve a 50 Ω input impedance are plotted in Figure 4 for various transistor areas from the 0.35 µm SiGe design kit used.
The voltage gain and the bandwidth of the RF-VGA are plotted in Figure 5. The values between 100 µA and 250 µA present a trade-off between gain and bandwidth and can be used to determine the optimal combination of device area and bias current I 02 . When I 02 augments, the gain of the circuit drops while the bandwidth raises. The gain is not significantly affected by the variation in the transistor area, but, as expected, the bandwidth is increased if the area is reduced. Although the RF-VGA may be preceded by an LNA, its noise figure (NF) is one of the most relevant parameters in the design. If the LNA gain is low, the RF-VGA must provide a reduced NF and high gain to avoid degradation of the receiver performance.    Depending on the application of interest, a trade-off between gain, noise, and bandwidth must be considered by the designer. In this implementation, the number of elements in the signal path is kept as low as possible (only tree BJTs), and there is a total absence of passive elements. Consequently, the noise introduced by spurious elements is minimized and the main noise contribution is due to the input transistor Q 21 . Figure 6 depicts the simulated NF of the circuit for different transistor areas, where it is shown that the NF decreases when the device area is increased. The noise figure of the RF-VGA is also plotted against I 02 in Figure 7 for a transistor area of 20 µm 2 . Note that the noise figure is strongly dependent on the bias current, so that, when I 02 increases, the gain is reduced and the NF augments. If a high gain and a low NF is desired, a lower I 02 and a higher transistor area are required. However, this situation limits the achievable bandwidth since a low bias current combined with a high aspect ratio yields a reduced frequency performance (see Figure 5). As a result, a trade-off between noise figure, gain, and bandwidth is present and should be considered depending on the design specifications.  The final RF-VGA schematic is shown in Figure 8, where the current sources have been replaced with MOS transistors. The RF-VGA was designed and laid out in a BiCMOS SiGe 0.35 µm process with a DC supply of ±1.5 V. The layout of the circuit is presented in Figure 9. The layout was realized taking into account critical aspects of analog RFICs, such as circuit symmetry and transistor matching techniques to reduce PVT variations. The selected areas for each transistor were chosen to achieve a maximum gain of 18 dB and a 900 MHz bandwidth with a total current consumption below 2 mA. The size of Q 21 is 20 µm 2 , which is twice the size of Q 12 and Q 22 , with 10 µm 2 each. The aspect ratio of the NMOS and PMOS transistors is 20/1 (µm/µm).

Measurements
Probe pads were added for on-wafer measurements. Two ground-signal-ground (GSG) and two signal-ground-signal (SGS) pads structures with 150 µm pitch were used. The DC supply is ±1.5 V and the amplifier draws a current of 1.7 mA. The total chip size of the RF-VGA including pads is 800 × 430 µm 2 , but the core of the circuit occupies an area as low as 62 × 44 µm 2 . The voltage gain of the RF-VGA is plotted in Figure 10 for a frequency range of DC-3 GHz vs. bias current I 02 . A good agreement between measurement and simulation can be found with an error below ±1.1 dB in the entire band. As expected, when I 02 is increased, the gain of the circuit decreases while the bandwidth raises. The simulation and measurement results of the NF of the proposed design are depicted in Figure 11. As can be seen, the NF increases with the bias current I 02 . A reduced bias current (i.e., higher gain) is needed if a low noise figure is required. As mentioned above, the drawback is a reduction in the bandwidth of the amplifier. In many applications, it is desirable to extend the bandwidth thus a multistage approach or a bandwidth enhancement technique would be needed to obtain a high-gain and wide-band. For NF, the error between simulation and measurement is below 1.4 dB.  Another key parameter for the performance of the RF-VGA is the input return loss. When the LNA is implemented externally, the RF-VGA is the first integrated device in the receiver; thus, a broadband 50 Ω input match is required. The simulated and measured S 11 are shown in Figure 12, where the measured magnitude for the S 11 is better than 20 dB for frequencies up to 10 GHz. The linearity of the proposed RF-VGA was evaluated by measuring the input 1-dB compression point (P 1dB ) using a test tone of 666 MHz. The measurement results for maximum gain settings (I 01 = 600 µA and I 02 = 50 µA) are plotted in Figure 13, obtaining a value of -20.18 dBm for the input P 1dB . A summary of the performance of the proposed RF-VGA versus I 02 is presented in Table 1 for I 01 = 550 µA and V DC = ±1.5 V. A brief overview of similar works available in the literature is given in Table 2 [23][24][25][26][27][28][29][30]. With the exception of [26], which uses 40 nm technology, our work has better bandwidth. Compared with other authors, a good trade-off between gain and bandwidth is obtained. We have achieved a competitive noise figure, not exceeding 9.6 dB for the worst case. The power consumption is small, but not the lowest one, this is because the others authors have used more advanced technologies. To the best of the authors' knowledge, the present work achieves the lowest area occupation reported in the literature while showing competitive performances in terms of gain, NF and BW with a power consumption similar to that of other proposed solutions.

Conclusions
A very compact, low power, low voltage and high bandwidth RF-VGA based on the cascade connection of two CCCII blocks has been presented. The circuit was implemented in a standard low cost SiGe BiCMOS 0.35 µm process. A gain control from 6.7 to 18 dB is obtained varying the bias current of the circuit. The present work achieves, to the authors' knowledge, the lowest area occupation. For a polarization current I 02 of 50 µA, the circuit achieves a power consumption of 1.7 mA with a ±1.5 V DC supply, an input return loss better than 20 dB from DC up to 10 GHz and a noise figure from 5.5 dB at maximum gain settings to 9.6 dB at minimum gain settings. Finally, the measured P 1dB is −20.18 dBm. The RF-VGA achieves a very competitive trade-off between gain, noise figure, input return loss, power consumption, and die footprint, making this architecture suitable for the design of compact wide-band, low-power, and low-noise variable gain amplifiers.

Conflicts of Interest:
The authors declare no conflict of interest.

Abbreviations
The following abbreviations are used in this manuscript: BW bandwidth CCII second-generation current conveyor CCCII second-generation controlled current conveyor ISM industrial, scientific and medical LNA low noise amplifier MICS medical implant communication system RF-VGA radio frequency variable gain amplifier SDR software design radio VGA variable gain amplifier