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Chapter 4 Design of Double-Sampling Pipelined Analog-to-Digital

4.4 The implementation of 10-Bit Double-Sampling Pipelined ADC

4.4.7 Clock Generator

Figure 4.36 Two-phase clock generator for double-sampling pipelined ADC

The two-phase clock generator for the double-sampling pipelined ADC is

illustrated in Figure 4.36. The input clock ,clkin, is inserted off-chip in the frequency of 200MHz. Two non-overlapping phases, shown in Figure 4.37, are delivered for proper operation of switched capacitor circuits in the frequency of 100MHz respectively. The characteristic of this scheme is the adoption of the short pulse Cs of the width ∆ and frequency 200MHz, which changes from 0 to 1 on the rising edge of clkin, illustrated in Figure 4.38. The short pulse Cs cause a high-to-low transition at the output of the inv1, which has its output at logic level one. Therefore, the falling edges of the clka and clkb can be controlled uniformly by the short pulse Cs. [37]

Figure 4.37 Simulated results of the non-overlapping clocks

Figure 4.38 Timing diagram of the clock generator

As a result, uniform sampling clocks can be reached to minimize time-skew

problems in the double-sampling pipelined ADC. A possible disadvantage of this circuit will be that a short time makes the pmos of inv1 and M1, or, the pmos of inv2 and M2 simultaneously on. It will increase the power dissipation a little, but it can be negligible in the overall power consumption.

4.4.8 Registers and Digital Error Correction Logics

The registers are used to make the output codes from 9 stages synchronous and the final 10-bit codes are stored in registers after processing by digital error correction logics. Positive edge-triggered true single-phase clocked D-flips are adopted in the design of the registers, as shown in Figure 4.39. Only one clock phase is needed in the register and the complexity of the register arrays can be reduced.

Figure 4.39 Positive edge-triggered true single-phase clocked D-flip

The digital output codes in each stage must be calibrated by the digital correction logics. It recombined the nine 1.5-bit codes by overlapping adding operation.

Combining the register array and digital correction logics implement the backend design of the ADC shown in Figure 4.40.

Figure 4.40 Shift register arrays and digital error correction logics

4.4.9 Simulated Results of Pipelined ADC

The 10-bit, 200MS/s double-sampling pipelined A/D converter with the 1.8V supply voltage is implemented. With the ideal DAC, the 10-bit output digital codes are converter to analog signal. Figure 4.41 shows the simulated result of the pipelined ADC when applying the 1 MHz sine-wave to the inputs. The spectrum of the reconstructed 0.98 MHz sine wave is shown in Figure 4.42 and the SNDR is about 56.14 dB.

Figure 4.41 Simulated result of the pipelined ADC with the sine-wave input signal

Figure 4.42 The spectrum of the 0.98 MHz sine wave

Figure 4.43 shows the simulated results through the ideal DAC when applying the ramp signal to input.

Figure 4.43 Simulated result of the pipelined ADC with the ramp input signal

Then the results are analyzed for characterizing the linearity of the ADC. However, the linearity of the ADC could be realized by analyzing the parameters of the DNL and INL. The simulated results of the DNL and INL of the pipelined ADC are shown in Figure 4.44. The maximum DNL and INL are ±0.75 LSB and ±0.95 LSB.

Figure 4.44 Simulated results of DNL and INL

Table 4.4 summaries the simulated results of the pipelined ADC. Layout and floor plan of the experimental prototype chip are shown in Figure 4.45. This pipelined ADC was laid out on a 1.380×1.134 mm2 die that including digital circuits and the pad frame. In the layout, we use the mirror symmetry to enhance the rejection of common mode noises in the fully differential circuits. In this research, the analog circuit is

separated from the digital circuit and is powered from a separated power supply.

Parameters Simulated Results

Process TSMC 0.18µm CMOS

Mixed-Signal

Supply Voltage 1.8 V

Input Range ±0.6V Fully differential

Resolution 10 bits

Operation Frequency 200 MHz INL/DNL ±0.95 LSB /±0.75 LSB

ENOB(Fin=0.98MHz) 9.03 bits

SNDR (Fin=0.98MHz) 56.14 dB Power Dissipation 103.28 mW

Chip Size 1.380mm×1.134mm

Table 4.4 Summary of simulated results of the double-sampling pipelined ADC

(a) Layout

(b) Floor plan

Figure 4.45 (a) Layout and (b) floor plan of the pipelined ADC

Chapter 5

Test Setup and Experimental Results

5.1 Introduction

The double-sampling pipelined ADC has been implemented by TSMC 0.18um 1P6M CMOS Mixed-Signal process. In this chapter, the testing environment, the printed circuit board (PCB) circuits and required instrument for testing are introduction. Finally, the experimental results are summarized.

5.2 Test Setup

Figure 5.1 Testing setup

A schematic of the measurement setup used to evaluate the double-sampling pipelined ADC performance is presented in Figure 5.1. Figure 5.2 shows a photograph of the PC board used in the experimental evaluations. In Figure 5.1 it consists of the

analog power regulator, the digital power regulator, the function generator, the clock generator, the reference and bias voltage generator, and the logic analyzer.

Figure 5.2 The photograph of the experimental pipelined ADC DUT board

5.2.1 Power Supply Regulators

The power supply is divided into two main parts to support the analog voltage VDDA and digital VDDD to avoid noise coupling between analog and digital circuit.

Therefore, these two powers have their own regulator and the output voltage, and the analog ground and digital ground are isolated to each other.

The analog and digital power supplies are generated by the application of the LM317 adjustable regulators shown in Figure 5.3. The input voltage of the regulator circuit is connected to a 9V battery, and the output voltage is specified in 1.8V. The regulator circuit requires two resistors to define the output voltage. [38] The output

voltage of the Figure 5.3can be expressed as

1.25 1 2 2

1

out ADJ

V R I R

R

⎛ ⎞

= ⋅ +⎜⎝ ⎟⎠⋅ ⋅ , (5.1)

where IADJ is the DC current that flows out of the adjustment terminal ADJ of the regulator.

LM 317

Vin Vout

ADJ

Vin Vout

R1

R2 C1

C2

Figure 5.3 Power supply regulator

The outputs of the regulators are bypassed on the PCB with the filter tank. The bypassed filter network is combined by 10uF, 1uF, 0.1uF, and 0.01uF capacitors as shown in Figure 5.4. The capacitor arrangement in Figure 5.4 provides decoupling of both low frequency noise with large amplitude and high frequency noise with small amplitude.

Figure 5.4 Bypass filter at the output of the regulator

5.2.2 Input Termination Circuit

The applied input signal to the DUT is buffered and converted to balanced differential forms by the circuit shown in Figure 5.5. By using the configuration of an inverting opamp and a non-inverting opamp, the differential signals are generated and delivered to the AC coupled circuit. [22] [39] [40] [41]

Figure 5.5 Single to differential circuit

Figure 5.6 AC coupled circuit

The AC couple circuit is illustrated in Figure 5.6. The outputs of the AC coupled circuits are terminated on the DUT with one pole low pass filters as shown in Figure 5.6. With the AC coupled circuit, we can prevent the aliasing of high frequency noise components into the baseband and attenuate charge kickback from the sampling switches in the DUT into the input source.

5.2.3 Measured Instruments

The input signal to the DUT is provided by the signal generator, Agilent E4438C, shown in Figure 5.7. The clock signal is generated by a pulse/pattern generator Agilient 81130A, shown in Figure 5.8. The output bit streams of the DUT are fed to the logic analyzer, HP 16702B, shown in Figure 5.9. The 10-bit output data was primarily captured and stored in the logic analyzer. By transferring the digital data from the logic analyzer, the converter outputs were processed and analyzed using MATLAB in the personal computer.

Figure 5.7 Signal Generator Agilent E4438C

Figure 5.8 Pulse/pattern generator Agilient 81130A

Figure 5.9 Logic analyzer HP 16702B

5.3 The Package and Pin Configuration

Figure 5.10 shows the die photomicrograph of the experimental double-sampling pipelined ADC. Figure 5.11 presents the pin configuration and lists the pin assignments of the experimental pipelined ADC.

Figure 5.10 Die photomicrograph of the pipelined ADC

Figure 5.11 (a) Pin configuration diagram and (b) Pin assignment 6 CLOCK In System clock input 7 NC - No connection 8 DGND In Digital ground 9 DVDD In Digital power supply 10 AGND In Analog ground 11 NC - No connection 12 AVDD In Analog power supply 13 REFP In Reference voltage>Vcm 29 AGND In Analog ground 30 Vba4 In Bias voltage 31 Vba1 In Bias voltage 32 Vcm In Common mode voltage 33 Vinn In Input signal (180°) 34 Vinp In Input signal (0°) 35 AVDD In Analog power supply 36 NC - No connection

5.4 Experiment Results of Pipelined ADC

The pipelined ADC has fabricated in 0.18µm CMOS process. The chip was powered by the 1.8 V analog and digital circuits supply. A 1 MHz sine wave is applied to the ADC and operates at the 100 Msample/s and 150 Msample/s conversion rate, respectively. The output 10-bit streams of the DUT collected by the logic analyzer and the plot chart are shown in Figure 5.12 and 5.13.

(a) (b)

Figure 5.12 Measured results for 100 Msample/s conversion rate (a)Output bit streams (b) Plot chart

Figure 5.13 Measured results for 150 Msample/s conversion rate (a)Output bit streams (b) Plot chart

From the measured results shown in Figure 5.12 and 5.13, the signal to noise ratio is calculated by collecting 65536 samples of the input signal and performing a 65536 point fast Fourier transform shown in Figure 5.14. This result shows that SNDR are about 32.14 dB and 30.78 dB for 100 and 150 Msample/s conversion rate respectively.

(a) (b)

Figure 5.14 65536 points FFT at 1MHz input frequency for (a) 100 MHz sampling frequency (b) 150 MHz

These harmonic distortions are caused by the nonlinear of the op-amp and mismatch of the two sampling paths. The worst reason is that the DC gain of the op-amp at the highest output swing is no longer large enough to meet the required specification. Furthermore, the charge injection and common mode drift issues both are the possible reasons. In addition, when the sampling rate is large than 150 Msample/s, the plot chart of the ADC doesn’t show the similar sine-wave. Probably the input signal and the sampling rate are coupled each other, thus the input signal is influenced and clipped. Figure 5.15 shows the SNDR for different sampling rate.

Table 5.1 summaries the measured results of the pipelined ADC.

Figure 5.15 The SNDR against the sampling rate

Parameters Measured Results

Process TSMC 0.18µm CMOS

Mixed-Signal

Supply Voltage 1.8 V

Input Range ±0.6V Fully differential Operation Frequency 150 MHz

SNDR for a 1 MHz input 30.78 dB

ENOB 4.82bits

DNL/INL 5.43/18.62 LSB

Power Dissipation 103 mW

Chip Size 1.380mm×1.134mm

Table 5.1 Summary of measured results of the pipelined ADC

Chapter 6

Conclusions

6.1 Conclusion

In thesis, a double-sampling pipelined ADC has been designed, laid-out, fabricated, and tested. With the technique of double-sampling, the specifications of the operational amplifier can be relaxed and the conversion rate of the pipelined ADC is duplicated compared with the single-sampling ADC.

Although the technique of double-sampling can increase the conversion rate, some non-idealities also comes along in the double-sampling pipelined ADC. Besides the non-idealities in the single-sampling pipelined ADC, such as the charge injection error, offset error, and gain error, the mismatches between the two paths have to be considered. We have discussed these problems in chapter 3.

The chip was fabricated by TSMC 0.18um 1P6M CMOS process. The measured results are 32.14dB in the 100MHz conversion rate. The maximum conversion rate in the measurement is worse than the simulation, because the design of the opamp is not good enough and settling error increases. Therefore, the output residue of each stage can not be settled properly when increasing the sampling frequency. On the other hand, there are many extra parasitic capacitors that the post-layout extraction didn’t extract out, and the measuring skills are not good enough, and any other reasons like the instrument issue and the high frequency effects that need to discover and study.

6.2 Future Work

As the mismatches between the paths result in severe distortions in the spectrum, the performance of the measurement is not satisfied. Therefore, it is an important issue to reduce the gain mismatch, offset mismatch, and timming mismatch. If we continue to research on the same topic, we will try to add some calibration methods to correct the nonidealities in the double-sampling pipelined ADC. As time goes by, a wide variety of calibration techniques has been proposed. Digital or analog calibration methods may be applied to the design for the double-sampling pipelined ADC. Based on the architecture of double-sampling pipelined ADC, the time-interleaved ADC can be established by combining more channels of double-sampling pipelined ADC. As a result, the sampling rate can be increased much greatly.

On the other hand, low voltage low-power design is the other topic to study for the future work. With the reduced supply voltage, we have to do efforts to improve the performance of the opamp to reach the accuracy of the ADC. And in order to reduce the power consumption, scaling down the sampling capacitors stage by stage will be necessary.

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