An Introduction to Space Instrumentation, Edited by K. Oyama and C. Z. Cheng, 227–237. Plasma wave receivers for scientific satellites H. Kojima Research Institute for Sustainable Humanosphere, Kyoto University, Gokasho, Uji, Kyoto 611-0011, Japan The design of plasma wave receivers for use onboard scientific satellites is introduced. Since space plasmas are collisionless, kinetic energy is transferred via plasma waves. The role of plasma wave receivers is to reveal wave-particle interactions in space plasma. Conventional plasma wave receivers are classified into three types: multichannel analyzers, sweep frequency analyzers, and waveform capture. Each one has their own advantages and disadvantages and thus they complement each other. The present paper provides guidelines for designing plasma wave receivers by referring to examples from representative science missions. Furthermore, the prospects of using plasma wave receivers in future missions are discussed. The mass and size requirements for onboard instruments can be satisfied by developing small receivers. Extremely small plasma wave receivers can be achieved using analog application-specific integrated circuit(ASIC) technology. We also introduce our recent progress in developing a chip that implements the necessary analog components of plasma wave receivers. Key words: Plasma wave, collisionless plasma, plasma wave receiver, analog ASIC. 1. Introduction servations as follows: Since space plasmas are collisionless, their kinetic energies are exchanged and transferred via plasma waves. It is thus essential to perform measurements on plasma waves to understand the physical processes that occur in space plasmas. Consequently, many scientific satellites carry plasma wave receivers. Figure 1 shows a typical frequency-time spectrogram of plasma waves observed by the plasma wave receiver onboard the Geotail spacecraft in the geomagnetic tail region. The upper and lower panels respectively show the electric and magnetic field components of the observed plasma waves. The color scale indicates the spectral intensity. Representative spectra are labeled in this figure, namely Broadband Electrostatic Noise (BEN), Auroral Kilometric Radiation (AKR), and Magnetic Noise Burst (MNB). Discussion of the detailed features of the plasma waves in Fig. 1 and their generation mechanisms is beyond the scope of the present paper. Matsumoto et al. (1998) have reviewed the plasma waves observed by the Geotail spacecraft. Historically, the first plasma wave observations from satellites were conducted by Vanguard 3 (Cain et al., 1961), Lofti 1 (Leiphart, 1962) and Alouette 1 (Barrington and Belrose, 1963). Since these satellites focused on characterizing so-called ‘whistlers’, they employed coil or loop antennas as plasma wave sensors. Plasma wave observations were initiated just after the successful launch of Sputnik 1 in 1958. This means that the importance of plasma wave measurements was generally understood from the dawn of space physics. Gurnett and O’Brien (1964) pointed out that satellite plasma wave observations have several advantages over ground-based observations in the view point of observing whistler waves. We additionally describe several objectives and several advantages of satellite-based plasma wave obc TERRAPUB, 2013. Copyright 1) In situ observations of plasma waves reveal local wave-particle interactions. In particular, in situ observations are crucial since electrostatic waves do not propagate. 2) Plasma waves are sensitive to changes in the plasma environment. A specific wave-particle interaction corresponds to the excitation of a particular mode; this permits physical processes to be identified from plasma wave signatures. 3) Plasma wave receivers generally have higher time resolutions than other instruments, permitting transient phenomena to be detected. A plasma wave receiver is a sophisticated radio detector that can be used to observe electrostatic/electromagnetic waves excited in space plasmas with high sensitivity. The wave receiver employs electric and magnetic field sensors with low-noise preamplifiers. It is critical to use both electric and magnetic sensors for the following reasons. Since the refractive index (i.e., the ratio of the electric and magnetic field strengths) depends on plasma dispersions, information about the refractive index is critical for identifying plasma wave modes. Moreover, electrostatic waves, which cannot exist in vacuum, can be confirmed by the fact that the electric field sensor detects waves without any fluctuations in the magnetic field sensor. Unique features of plasma waves are mainly observed at frequencies below the electron plasma frequency or the upper hybrid frequency in the case that the electron plasma frequency ( f pe ) is larger than the electron cyclotron frequency ( f ce ) (in the case of f ce > f pe , features of plasma waves are shown clearly below f ce ). In situ wave phenomena occur at frequencies below these frequencies, which are determined by the local plasma. Space plasmas are not uniform; their density varies in different regions. Electromagnetic waves can propagate far 227 228 H. KOJIMA: PLASMA WAVE RECEIVER Fig. 1. Frequency-time spectrogram of plasma waves observed in the geomagnetic tail region. from their sources. Therefore, even when a satellite is in a region of low-density plasmas, the onboard plasma wave receiver must cover frequencies higher than local electron plasma frequencies, because propagating electromagnetic plasma waves generated in high-density regions can be observed in such a low density region. For example, the electron plasma frequency in the solar wind at a distance of 1 AU from the sun is typically of the order of a few tens of kilohertz. However, a plasma wave receiver onboard a satellite in the solar wind should cover frequencies up to a few megahertz because waves are radiated from the sun and terrestrial polar regions, which have much higher plasma densities than that of the local solar wind. Therefore, the frequency coverage of plasma wave receivers is determined not only by local plasma densities but also by those of the target regions for remote sensing. On the other hand, the lowest frequency covered by a typical plasma wave receiver is a few hertz. This lower cutoff frequency is determined by considering the saturation effects of the sensitive receiver due to large DC elec- tric or magnetic fields. In particular, for a spin-stabilized satellite, DC fields can be observed as waves with the frequency corresponding to the satellite spin frequency. Very low frequency waves and DC fields can also be observed by instruments other than plasma wave receivers (see Ishisaka (2012) for electric-field detectors and Matsuoka et al. (2012) for magnetic-field detectors in the current issue). The sensor preamplifier outputs are fed to the receiver components. Plasma wave receivers are classified as spectrum or waveform capture receivers. The present paper describes these two types of receivers as well as their onboard calibration. 2. Plasma Wave Observation System A plasma wave observation system consists of sensors, different types of plasma wave receivers, and a digital processing unit. Figure 2 shows a block diagram of the Plasma Wave Instrument (PWI) onboard the Geotail spacecraft, which was launched in 1992 (Matsumoto et al., 1994a). The Geotail PWI is a typical plasma wave observation system. H. KOJIMA: PLASMA WAVE RECEIVER 229 Fig. 2. Block diagram of the PWI onboard the Geotail spacecraft. The Geotail PWI makes use of two different types of electric field sensors for observing the electric field components of plasma waves. They are tip-to-tip lengths of 100 m and are addressed as WANT and PANT (abbreviations for WireANTenna and Probe-ANTenna, respectively). The WANT is essentially a wire-dipole antenna. It has the advantage of being able to observe plasma waves. On the other hand, the PANT is suitable for observing very low frequencies or DC electric fields. The detailed structure and frequency response of these sensors have been described by Matsumoto et al. (1994a). The magnetic field component is detected by a triaxial search coil magnetometer mounted at the top of the mast. As shown in Fig. 2, the Geotail is not equipped with a sensor for the component of the electric field along the spin axis because deployment along the spin axis is more difficult than deployment in the spin plane. However, a spin-axis electric field sensor has usually been installed in recent terrestrial magnetosphere missions based on the technological advance. The signals picked up by these electric and magnetic field sensors are fed to the plasma wave receiver. The Geotail PWI has three different types of receivers: 1) Sweep Frequency Analyzer (SFA), 2) Multichannel Analyzer (MCA), and 3) WaveForm Capture receiver (WFC). The first two types of receivers measure wave spectra, whereas the last one is designed to simultaneously capture waveforms of two electric and three magnetic field components. Detailed descriptions of each type of receiver are given in the following sections. 3. Sensors Figure 3 shows an artist’s sketch of the Geotail spacecraft. It has two sets of electric field sensors and one set of magnetic field sensors for plasma wave measurements. A dipole antenna is used for electric field measurements. Two pairs of dipole antennas are deployed in the spacecraft with their spin planes perpendicular to the spacecraft spin axis (see Fig. 3). Search-coil magnetometers and loop antennas are used for measuring the magnetic field components of plasma waves. Typically, the search-coil magnetometers are used for low-frequency waves below 100 kHz and the loop antennas are used at frequencies above a few tens of kilohertz. To avoid interference from the electronics inside the spacecraft, the magnetic field sensors are often installed away from the main body. For example, the triaxial search coil magnetometer of the Geotail is mounted at the end of a 6m-long mast (see Fig. 3). The principles and designs of the electric and magnetic sensors are described in detail by Gurnett (1998). Suffice it to say here that the design of the electric field sensor is critical. The interaction with the surrounding plasma should be considered when designing the sensor. The sensor is used for both plasma wave and static electric field measurements. In terms of observing the electric fields of plasma waves, a long dipole antenna in space can be regarded as a short antenna, because the wavelengths of the plasma waves are in much longer than the antennas. The antenna impedance in vacuum is capacitive under this condition. Consequently, it is important to estimate the capacitance of the electric field antenna in vacuum when designing a plasma wave receiver. 230 H. KOJIMA: PLASMA WAVE RECEIVER Fig. 3. Artist’s sketch of the Geotail spacecraft. In practice, the impedance depends on plasma conditions 3) The total amount of data can be made much smaller such as electron temperatures, densities, and the presence than that of a waveform receiver by optimizing the of photoelectrons. It also depends on the type of electric time and frequency resolutions. field antenna. Many theoretical and numerical studies have 4) Continuous data collection is possible. estimated the antenna impedance and the effective antenna Disadvantages: length in plasmas (e.g., Meyer-Vernet and Perche, 1989; Miyake et al., 2008). Detailed analysis of electric field 1) Its electronic circuit is more complex than that of a wave observations requires a precise determination of the waveform receiver and it thus requires more resources antenna impedance. However, the capacitive impedance from the mass and power budgets. of the antenna in vacuum is generally used in the design 2) The receiver is not able to detect instantaneous phephase. Furthermore, since plasmas are dispersive media, nomena. the antenna impedance varies with frequency, which makes In contrast, waveform receivers have the following adit impossible to maintain impedance matching at the input vantages and disadvantages: of the preamplifier. Consequently, the preamplifier is deAdvantages: signed with an impedance of over 100 M, which is much larger than the expected antenna impedance. 1) Waveform receivers can detect phase. This means they can measure all wave properties except wavenumber. The information on the phase of a plasma wave 4. Plasma Wave Receiver is important for studying nonlinear phenomena, espeWhile a spectrum receiver provides information on wave cially since waveforms are not always sinusoidal. Geoamplitude and frequency, a waveform receiver measures the tail plasma wave observations revealed Electrostatic phase as well. Solitary Waves (ESW) in the BEN (Matsumotoet al., A spectrum receiver has the following advantages and 1994b). The discovery of the ESW is a representative disadvantages. achievement of the waveform receiver. Advantages: 2) Waveform receivers can observe instantaneous phe1) Narrowband spectra can be detected with a high nomena. signal-to-noise ratio. 3) Their electronic circuits have simple structures. 2) The observed frequency range is divided into sevDisadvantages: eral bands that are covered by independent receivers. Therefore, we can optimize the dynamic range of a re1) Since waveform receivers cover a wide frequency ceiver by assigning a different gain to each receiver range, the gain must be reduced for the most intense considering the expected intensities of plasma waves waves in the whole observable frequency range. in each frequency band. H. KOJIMA: PLASMA WAVE RECEIVER 231 2) To avoid aliasing, high-frequency sampling is neces- Table 1. Center frequencies and bandwidths of the MCA onboard the Geotail spacecraft. sary at the A/D converter. Such sampling leads to an increase in the power consumption. Channel Center frequency Bandwidth 3) Waveform receivers generate a huge amount of data, Ch 1 5.62 Hz 1.69 Hz which means that not all observational data can be Ch 2 10 Hz 3 Hz transferred to the ground by telemetry. Therefore, only Ch 3 17.8 Hz 5.34 Hz intermittent observations can be performed. Waveform Ch 4 31.1 Hz 9.33 Hz receivers need to stop measuring during transmission Ch 5 56.2 Hz 16.9 Hz Ch 6 100 Hz 30 Hz of data to the ground. Spectrum and waveform receivers complement each other. However, since space missions have limited resources, some missions do not carry spectrum receivers. Instead, an onboard digital processing unit with a CPU or digital signal processor (DSP) is used to generate spectra from the observed waveforms by taking the Fast Fourier Transform(FFT). However, note that this type of spectrum receiver suffers from the same disadvantages as waveform receivers. 4.1 Spectrum analyzers There are two typical types of spectrum receivers: MCAs and SFAs. 4.1.1 Multichannel Analyzer Figure 4 shows a block diagram of a typical MCA. The MCA consists of many Band Pass Filters (BPFs) with different center frequencies that are equally spaced on a logarithmic scale. Table 1 shows the BPF center frequencies and bandwidths for the MCA (electric field component) on the Geotail spacecraft. Each band has a bandwidth of ±15% of the center frequency for channels below 10 kHz and of ±7.5% for channels above 10 kHz. The sensor preamplifier outputs are fed to each BPF through differential amplifiers. The gain of the main amplifier in each band is adjusted for the intensities of the expected plasma waves. Therefore, the spectrum analyzer has a wider dynamic range than that of the waveform receiver (the gain of the waveform receiver should be adjusted for the most intense plasma waves expected over a wide frequency range). A logarithmic amplifier is often used in a MCA to realize a wide dynamic range. The output of the main amplifier is rectified and smoothed before the A/D. The output analog data from each channel is simultaneously sampled and held. The frequency resolution of the MCA is determined by the number of installed BPFs and their bandwidths, which makes it difficult to obtain a high frequency resolution. However, the time resolution is higher than SFAs (see the following section) due to the ability of MCAs to simultaneously sample and hold data. 4.1.2 Sweep Frequency Analyzer The SFA provides a narrow-band frequency spectrum by incrementally varying the observation frequency. Consequently, it has an excellent frequency resolution. Table 2 shows the specifications of the SFA onboard the Geotail spacecraft. It consists of eight independent receivers covering five frequency bands for electric fields and three frequency bands for magnetic fields. The frequency measurement period for bands 1 and 2 is 64 s and that for bands 3, 4, and 5 is 8 s. These sweep periods are determined by considering the filter response, the phase locking accuracy of the first local oscilla- Ch 7 Ch 8 Ch 9 Ch 10 Ch 11 Ch 12 Ch 13 Ch 14 Ch 15 Ch 16 Ch 17 Ch 18 Ch 19 Ch 20 178 Hz 311 Hz 562 Hz 1 kHz 1.78 kHz 3.11 kHz 5.62 kHz 10 kHz 17.8 kHz 31.1 kHz 56.2 kHz 100 kHz 178 kHz 311 kHz 53.4 Hz 93.3 Hz 168.6 Hz 0.3 kHz 0.534 kHz 0.933 kHz 1.686 kHz 1.5 kHz 2.67 kHz 4.67 kHz 8.43 kHz 15 kHz 26.7 kHz 46.65 kHz tor, the telemetry capacity, and the required time resolution from a scientific viewpoint. The SFA is a heterodyne receiver. Frequency downconversion is performed by multiplying the measured and local oscillator waves. Figure 5(a) shows a block diagram of a typical SFA that has two frequency down-conversion stages (thus, it is a double superheterodyne receiver). The role of the input BPF is to eliminate waves with frequencies outside the observation range. It does not need to have sharp reduction features since its purpose is to prevent the main amplifier from being saturated by intense waves outside the target frequency range. The first local oscillator sweeps from f 1 = f 1L to f 1 = f 1H . As it sweeps, the SFA incrementally measures wave spectra at frequencies. Since frequency stability of the first local oscillator in each step is important, it requires the Phase-Locked Loop (PLL). The output of the mixer at the first stage is the result of frequency down-conversion f in(obs) = f 1 − f 1C (1) f in(image) = f 1 + f 1C . (2) and Here, f 1 and f 1C respectively denote the frequency of the first local oscillator and the center passband frequency of the first BPF. It is impossible to distinguish these two waves with f in(obs) and f in(image) at the output of the first stage mixer. While the f in(obs) component is desired, the f in(image) component (known as the image spectrum) needs to be eliminated. The purpose of the LPF (Low Pass Filter) shown in Fig. 5(a) is to dampen the image spectrum component. The same consideration is necessary in the design of the first BPF before the second stage. The real and image 232 H. KOJIMA: PLASMA WAVE RECEIVER Fig. 4. Typical block diagram of a MCA (for one component of sensors). Fig. 5. (a): Block diagram of a typical SFA (for one frequency band), (b) and (c): Concept of the image spectrum and design of LPFs. spectra, f 1−out(obs) and f 1−out(image) , are f 1−out(obs) = f 2 − f 2C (3) f 1−out(image) = f 2 + f 2C . (4) and Here, f 2 and f 2C respectively denote the frequency of the second local oscillator and the center frequency of the second BPF. Figures 5(b) and (c) depict the concepts used to eliminate the image frequency component. The characteristics of the LPF and first BPF are crucial in the design of the SFA because insufficient reduction by these filters can lead to misinterpretation of the measured data due to the observation of the image spectrum. They require sharp reduction features to eliminate the image frequency spectra. Therefore, high-order filtering is necessary. The maximum reduction level should match the dynamic range of the receiver. After the second down-conversion, the output of the mixer is fed to the second BPF. The second BPF limits the frequency bandwidth of each frequency sweep step. A logarithmic amplifier is located after the second BPF to realize a wide dynamic range. Figure 6 plots the characteristics of the quasi-logarithmic amplifier of the SFA onboard the Geotail spacecraft. Table 3 shows the characteristic frequencies of the SFA onboard Geotail. 4.2 Waveform capture The waveforms picked up by the sensors are directly sampled in the waveform receiver, so-called ‘WaveForm Capture (WFC).’ The most important advantage of waveform capture is that it provides phase information; spectrum H. KOJIMA: PLASMA WAVE RECEIVER 233 Table 2. Specifications of the SFA onboard the Geotail spacecraft. Band 1 2 3 4 5 Frequency range 24–200 Hz 200–1600 Hz 1.6–12.5 kHz 12.5–100 kHz 100–800 kHz Freq. step 1.3 Hz 10.7 Hz 85.4 Hz 683 Hz 5.47 kHz Bandwidth 2.6 Hz 10 Hz 85 Hz 680 Hz 5.4 kHz Source B and E B and E B and E E only E only Sweep period 64 s 64 s 8s 8s 8s Table 3. Characteristic frequencies of the SFA onboard the Geotail spacecraft. Band 1 2 3 4 5 LPF 250 Hz 1.875 kHz 12.8 kHz 110 kHz 880 kHz First local 415.2–584.8 Hz 3.322–4.678 kHz 26.57–37.43 kHz 212.6–299.4 kHz 1.701–2.395 MHz receivers such as MCA and SFA do not observe phase. Digital waveform capture was used in the Geotail spacecraft, which led to the discovery of ESWs in the plasma sheet boundary layer as causing the BEN. The Geotail waveform capture revealed that the broadband spectrum is generated by a series of isolated pulses, which may have broadband spectra. Figure 7(a) shows a block diagram of a typical WFC. The role of the first LPF is to limit the observed frequency range. Since there is a wide frequency range below the cutoff frequency of the first LPF, the main amplifier must be adjusted to the dynamic range of the received signals over the entire observational frequency range determined by the first LPF. Plasma waves at lower frequencies are generally more intense than those at higher frequencies. Therefore, the gain needs to be adjusted to low-frequency waves in general. In addition, a logarithmic amplifier cannot be used for the WFC since it distorts the waveforms. It is thus difficult to design a high-sensitivity receiver for the WFC. These are the reasons why the WFC frequently has an automatic gain control (AGC) or a gain control system adjustable by telemetry commands. The second LPF is an anti-aliasing filter. The input signals are sampled at a sampling frequency of f s . According to sampling theory, waves can be measured up to the Nyquist frequency f N , which is half the sampling frequency. Aliasing occurs for signals with frequencies above f N . Figure 7(b) shows the relationship between the aliasing signal f a and f N . A signal with a frequency f higher than the Nyquist frequency appears as an aliased signal at a frequency f lower than the Nyquist frequency. If this signal lies in the observed frequency range, it can be mistaken for a real signal. The purpose of the second LPF is to reduce aliased signals in the observation band. The dotted lines in Fig. 7 indicate the required frequency responses of the second LPF for two different cases, A and B. Here, f 1 denotes the cutoff frequency of the second LPF. To analyze waveforms at frequencies above f 1 , it is necessary to sufficiently reduce f N . The reduction should match the dynamic range of the A/D converter (response A). On the other hand, if wave phenomena above f 1 are completely First IF 390.6 Hz 3.125 kHz 25 kHz 200 kHz 1.6 MHz Second local — 2.84 kHz 20 kHz 210 kHz 1.61 MHz Second IF — 289 Hz 5 kHz 10 kHz 10 kHz Fig. 6. Characteristics of the quasi-logarithmic amplifier of the SFA onboard the Geotail spacecraft (Matsumoto et al., 1994a). ignored in data analysis, frequency response B can be selected. In this case, the reduction feature of the second LPF is more relaxed so that a reduction equivalent to the A/D dynamic range should be ensured at a frequency of f2 = 2 fN − f1. To relax the design of the second LPF, a sampling frequency f s was used that is more than three times higher than f 1 . However, since oversampling increases the power consumption of the A/D, we meet the limit of an oversampling. Therefore, a high-order Chebyshev filter or elliptical filter is often used for the second LPF. Figure 8 shows a plot of the frequency response (without sensors and preamplifiers) of the WFC onboard the Geotail. Figures 8(a) and (b) represent the characteristics of the gain and phase for frequencies up to 4 kHz in the WFC low gain mode, respectively. Both the phase and the gain need to be calibrated during ground tests. 5. Digital Processing Rcent progress in digital technology has enabled sophisticated lightweight receivers to be developed. In particular, high-speed CPUs, digital signal processors (DSPs), and field-programmable gate arrays (FPGAs) are useful. 234 H. KOJIMA: PLASMA WAVE RECEIVER Fig. 7. (a) Block diagram of a typical WFC. (b) Concept of aliasing effect and design of the anti-aliasing filter. They permit onboard signal processing such as FFT and wavelet analysis. Combining onboard signal processing with a waveform receiver leads to the realization of a spectrum receiver. Waveform data digitized by an A/D are fed to a digital unit that generates FFT spectra. Such a spectrum receiver is both simple and flexible. Its time and frequency resolutions can be controlled by software. However, it has several disadvantages. For example, a high-speed A/D is required for high-frequency bands, which increases the power consumption. Furthermore, the dynamic range of the receiver has to be adjusted to the frequency band in which the most intense plasma waves are expected. 6. Onboard Calibration An onboard calibration system is used in both pre-flight tests and in flight. The output from an onboard oscillator is fed to the input of the preamplifier of the electric-field antennas and the calibration coil attached to the magnetic-field sensor. For a waveform receiver, the onboard calibration system needs to provide both phase and gain information about the circuit. For this purpose, a synchronous detection method will be employed on the BepiColombo Mercury Magnetospheric Orbiter, which will be launched in 2014 (Kasaba et al., 2008). Figure 9 shows a block diagram of the onboard calibration system for the electric-field sensors using the synchronous detection method. It includes a calibration signal source, whose output has undergone digital–analog conversion from waveform data stored in memory. A local signal is input to the preamplifier through the low resistance R1. When R1 is small relative to the antenna impedance |Z A |, the impedance does not affect the output waveforms from the WFC. The waveforms of the calibration source are directly sampled at the A/D after the receiver circuit. The digitized waveforms are then processed according to synchronous detection theory. The multiplier in the digital processor calculates the product of a digitized waveform with the signal source and with one shifted in phase by π/2, producing the signals V (t) · S(t) = |G WFC (ω)| V 2 {cos(2ωt + θ) + cos θ } , (5) 2 and V (t)·S π2 (t) = |G WFC (ω)| V 2 {sin(2ωt + θ) − sin θ } . (6) 2 Here, S(t), S π2 (t), and V (t) represent the waveforms of the signal, π/2 shifted signal, and receiver output, respectively; G WFC (ω) denotes the transfer function from the front end of the preamplifier to the analog output of the receiver; and θ is the phase shift in the circuit, θ = G WFC (ω). (7) By averaging the results, we obtain V (t) · S(t) = |G WFC (ω)| V 2 cos θ, 2 (8) and V (t) · S π2 (t) = − |G WFC (ω)| V 2 sin θ. 2 (9) H. KOJIMA: PLASMA WAVE RECEIVER Fig. 8. Frequency responses of (a) gain and (b) phase in the low gain mode of the WFC onboard the Geotail spacecraft (Matsumoto et al., 1994a). This gives the absolute value and phase of G WFC (ω). Using this method, the frequency response (gain and phase) of the entire receiver circuit can be determined, including the preamplifier. Furthermore, this system can be used to determine the antenna impedance of the electricfield sensors, which strongly depends on the density and temperature of the surrounding plasma. In the system shown in Fig. 9, the input resistance R2 is comparable to the antenna impedance |Z A |, so that the WFC output includes the effect of that impedance. Thus, gain and phase information of G i (ω) · G WFC can be obtained using the above-mentioned synchronous detection method. Here, G i denotes the transfer function of the electric-field sensor that includes the effect of the antenna impedance. Since G WFC (ω) is obtained in the low resistance mode of R1 independently, we can calculate the G i from the G i (ω)·G WFC . 7. Summary and Perspectives on Plasma Wave Receivers for Future Missions The present paper reviewed the properties of conventional plasma wave receivers. They are based on mature technologies that have advanced since the earliest days of satellite observations. Plasma wave receivers do not contain mechanically engineered parts except for the deployment mechanism of the sensors. Instead, they contain many electronic components. In recent space missions such as formation flights and planetary missions, the mass and size budgets for onboard 235 instruments have been severely restricted because of the increasing number of research goals of these missions. Miniaturization of onboard instruments is thus important in developing new instruments for future space missions. A reduction in the size of electronic components immediately leads to miniaturization of plasma wave receivers. Recent progress in FPGAs has led to high-performance onboard digital processing. For example, a spectrum receiver can be realized based on a waveform capture receiver using a FPGA or DSP. Another digital type of plasma wave receiver has been used in the sounding rocket SS-520-2 and Kaguya spacecraft for a lunar mission. A programmable down-converter (PDC) has been installed in these receivers (Hashimoto et al., 2003; Kasahara et al., 2008). In that digital device, wideband waveforms sampled at a high rate are down-converted into waveforms with a narrow band. Taking the FFT of the output waveforms results in frequency spectra in a limited spectral range. The converted frequency range is controllable by onboard software. Thus, “digital” sweep frequency analyzer can be realized by combining a PDC and its control software. Such a digital sweep analyzer has a much smaller mass than an analog type sweep frequency analyzer because it does not require mixers or a local sweep oscillator with the PLL. A plasma wave receiver cannot completely eliminate the use of analog electrical circuits since analog circuits occupy a large portion of the electrical board in the form of various amplifiers and filters. However, their size can be reduced by using analog Application Specific Integrated Circuit (ASIC) technology. ASIC could be implemented by chips that are a few square millimeters in size. Kojima et al. (2010) and Fukuhara et al. (2011) have developed such a chip that stores essential analog components such as filters and amplifiers. Figure 10 shows a prototype chip developed by our group. It contains several types of low-pass filters and amplifiers. Such work is expected to lead to extreme miniaturization of plasma wave receivers. Kojima et al. (2010) and Fukuhara et al. (2011) demonstrated the feasibility of a waveform receiver that is the size of a business card and that can observe six components of waveforms. A single small package should eventually contain both waveform and spectrum receivers, in contrast to recent missions in which only a waveform receiver is used because the required resources for the analog spectrum receiver are much larger. In those missions, the wave spectrum was obtained directly or after digital down-conversion by the onboard FFT calculation from the observed waveforms. However, this technique contains the disadvantages of a waveform receiver. It requires a high-speed A/D in observing wave spectra at high frequencies. Furthermore, the gain of the receiver has to be adjusted to the frequency range in which the most intense waves are expected to be observed. Therefore, the digital spectrum receiver does not detect weak plasma waves in other frequency ranges. In contrast, using an analog spectrum receiver (such as a sweep frequency receiver), the spectrum can be divided into several bands with individual frequency ranges such as those listed in Table 2 and the gain of each band can be varied independently. The analogue spectrum analyzer requires much more resources such as weight and size than those 236 H. KOJIMA: PLASMA WAVE RECEIVER Fig. 9. Onboard calibration system of the BepiColombo spacecraft. Fig. 10. Analog chip for a plasma wave receiver: the package is shown on the left and the bare chip is shown on the right. of the digital one. However, the weight and size can be greatly reduced by using an analog ASIC. Consequently, plasma wave receivers in future missions will ideally contain both waveform and spectrum receivers that are installed on a small chip. The design of an analogue chip needs proficiency especially in developing a low noise circuit. 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