The architecture of a single-channel FEE is shown in
Figure 1. The complete design is composed of four similar channels. The design has been realized in TSMC 65 nm CMOS technology. The input signal of each channel is a current pulse coming from the sense wire of the detector. The input signal is converted into a voltage pulse by the charge-sensitive preamplifier (CSP). The CSP’s output pulse is amplified and shaped by the two-stage bipolar shaper (SH1, SH2). The CSP and shaper together constitute the analog signal processing chain of the design, which is connected with the discriminator through coupling capacitors. Two programmable DACs are used to set the threshold value for the discriminator. The discriminator compares the bipolar signal with the threshold value to yield the output, time-over-threshold. SLVS drivers are designed to provide an interface for the individual FEE channels with the subsequent TDC chip. Test-point buffers are added at the output of CSP and the shaper for diagnostic purposes. A central bias block has been designed, which mirrors the current to each channel from a reference source of 50 µA.
3.1. Charge-Sensitive Preamplifier
In the MDT-FEE design, the performance parameters of the CSP are of key importance. The design involves a two-stage, single-ended amplifier topology, as shown in
Figure 2. The input signal, coming from the sense wire of the tube, is connected to the negative terminal of the CSP. A large parasitic capacitance (C
= 60 pF) is connected between the CSP input node and ground, which is which is mainly due to the capacitance of the tube-wire system and the signal routing on the PCB. The positive input has been fixed by means of a resistor divider (Rb1 and Rb2) to 700 mV, implemented on-chip for better matching. To suppress the substrate noise, a capacitor of 16 pF is attached to the positive terminal of the CSP on-chip. The feedback network of the CSP is a parallel combination of a resistor R
= 25 k
and a capacitor C
= 920 fF in parallel.
The CSP design is critical as it defines several key functional parameters of the design, such as signal rise-time, overall power consumption, and noise. Along with the high specification criteria, the functionality of this block is adversely affected by the large value of the detector capacitance. It has a highly deteriorating effect on the closed-loop-gain, bandwidth, sensitivity, and signal peaking time delay.
The most important performance parameters of the CSP in our design are the peaking time delay and signal-to-noise ratio. The peaking time delay is important for the precise determination of the arrival time of the signal, given the wide range of signal amplitudes as they occur in the experiment. CSP noise and the speed of response are optimized by using a suitable input device transconductance (gm1). The differential input transistors (M1A–M1B), of size W/L = 580 um/330 nm, operate in moderate inversion (to mitigate the increase in power consumption) with a nominal current of 1.475 mA in order to have very large transconductance, gm1 = 25 mA/V. This is in accordance with the minimum thermal noise requirement. The input charge pulse for the FEE comes from a single source (the sense wire of the tube); thus, a single-ended topology has been chosen for the CSP, hence saving a current of 2.7 mA in the output stage of the amplifier, as shown in
Figure 2. In this way, the use of common-mode feedback circuit is also eliminated. To minimize the peaking time delay, the OpAmp is designed with a very high unity-gain bandwidth of 2.4 GHz, with a phase margin of 60 degree, ensuring good stability. With these open-loop characteristics, the CSP exhibits a very fast peaking time of 4 ns without the detector capacitor and 11 ns with the large (60 pF) detector capacitor, as shown in
Figure 3.
The load impedance of the CSP stage is the input impedance of shaper-1. It is a parallel combination of a resistor, R
, and a series connection of a resistor and a capacitor—R
and C
, respectively. The CSP transfer function depends on the feedback network, the transconductance of the input transistor (M1A–B), the load impedance Z
and the detector capacitance C
. The CSP transfer function can be approximated by Equation (
1).
Similarly, the input impedance transfer function is given approximately by Equation (
2). It is almost constant (Z
= 44
) at low frequencies and below 73
for all in-band frequencies, as shown in
Figure 4.
3.2. Shaper Section
The Preamplifier stage is followed by a two-stage shaper section to implement bipolar shaping of the pulse in order to mitigate signal pile-up at high signal rates. Each stage of the shaper is based on two-stage differential amplifiers, as shown in
Figure 5. The two-stage differential topology is more robust to the load and allows for a higher output voltage swing. The transconductance value of input MOSs is 2.5 mA/V and sinks a current of 104 uA in each input stage (Ia and Ib) and 418 uA in each output stage, as shown in
Figure 5. The output-stage MOSs have been designed with an overdrive voltage of 70 mV (i.e., moderate inversion) to maximize the output swing range, and to achieve a linear sensitivity for the full range of input charges up to 100 fC. To set the common-mode voltage a separate common-mode feedback (CMFB) network has been designed. The W/L values of the CMFB network are half of those of the main amplifier input stage in order to reduce the current consumption. The CMFB network is attached to the main amplifier through a sensing network, consisting of a pair of resistors with capacitors in parallel for better performance at higher frequencies. The values of currents are given in
Figure 5.
Each stage of the shaper (shaper 1–2) has an input impedance network and a resistive feedback loop, as shown in
Figure 6. The poles and zeroes used to implement the bipolar shaping are the same as in ASD, at 130 nm [
3], selected to cancel the very long time constant component of the positive ion MDT pulse [
2]; however, the values Z-RC are greatly changed, shrunk by almost a factor of four, with the aim of an area-efficient design. The values of impedance network components are given in
Table 1.
The transfer function of each shaper stage depends on the input impedance and feedback network. Equations (3) and (4) show the transfer function of shaper-1 and shaper-2, respectively.
The open-loop gain and unity-gain-bandwidth of the shaper amplifier are 50 dB and 500 MHz, respectively. With these open-loop characteristics, the closed loop-gain values of shaper 1–2 vary by less than 4 percent as compared to ideal amplifiers. The pass-band gain is given by the ratio between Z2 and Z1, whereas the bandwidth is fixed by the resistive and capacitive loads. The frequency response of each stage of the analog channel is plotted in
Figure 7. The shaper features a pass-band width of 1.06–172.6 MHz and a pass-band gain of 17.6 dB.
At the output of the CSP and the shaper, test-point buffers have been designed, for diagnostic purposes, using a common-drain topology as shown in
Figure 8. The buffer’s load resistance of 800
is placed off-chip, on a PCB board.
3.3. Digital Circuit of FEE System
The output signal of the analog signal-processing chain is fed into the discriminator through coupling capacitors, where it is compared to a programable threshold value, which ultimately yields the digital ToT output pulse.
The comparator has been designed using a two-stage single ended amplifier topology without compensation, as shown in
Figure 9. It consists of a high gain amplification stage, followed by a series of inverters to produce the output, referred to as high or low, depending on the input signal and threshold value. The threshold value for the main comparator is set differentially. Two sets of 8-bit string-DACs and 3-to-8 bit decoders are used to set the threshold values, which are programable up to 256 mV across the common mode voltage with an LSB of 2 mV. Each string-DAC is composed of a main-string and a sub-string to divide the reference voltage and give the output voltage with an LSB of 1 mV. Complementary CMOS switches were designed for selecting the required output voltage to set the threshold value.
A hysteresis block is added with the comparator to unbalance the current in the main differential amplifier (M1A-M1B) according to a programmable value. Its significance is to remove glitches in the output of the comparator, which arise due to noise. The hysteresis can be varied from 0–50 mV by means of the programable digital word set externally at run-time.
A dead-time block is used to introduce a delay in the discriminator response up to 500 ns, programmable in steps of 30 ns, thus allowing a large set of dead-time options. To set all these programmable and channel parameters, a digital word carried by a 50 bit shift register is used. A new design approach, as compared to the reference design [
3], of using parallel arrays of serial-in-parallel-out (SIPO) and parallel-in-serial-out (PISO) blocks is utilized in the design of the shift register. The digital word is shifted serially into the SIPO block from an external board. At the instance of loading the digital word from the SIPO block to the channel, it is loaded into the PISO block as well. At the output pad, the contents of the PISO block can be visualized to verify the data loaded into the channel. The digital word is passed from an external board through a JTAG interface.
3.4. SLVS Output Drivers
Modern experiments, such as ATLAS, consist of large number of data-processing channels. Consequently, decreasing power consumption and improving the data transmission rate of readout electronics is important. For these reasons, along with providing the CMOS-level signal at the output, SLVS drivers are designed for connecting the FEE channels with the external components of the TDC. The SLVS standard is defined in [
7] and describes a differential current-steering protocol. It has a voltage swing of 200 mV, across a common mode voltage of 200 mV. The load resistor on the receiver end is of the value of 100
. At the output, the differential voltage is 400 mV and a current of 2 mA flows through the load resistor. The SLVS transmitter operates as a current source with switched polarity. The output current flows through the load resistance, external to the chip, building the differential output voltage swing of 400 mV. The proposed transmitter circuit, presented in
Figure 10, uses the arrangement of four MOS switches in the H-bridge configuration [
8,
9], implemented with the M1–M2 (AB) NMOS transistors.