An FIR-Embedded Noise Filtering Method for $Delta Sigma$ Fractional-N PLL Clock Generators

This paper describes a noise filtering method for $Delta Sigma$ fractional- $N$ PLL clock generators to reduce out-of-band phase noise and improve short-term jitter performance. Use of a low-cost ring VCO mandates a wideband PLL design and complicates filtering out high-frequency quantization noise from the $Delta Sigma$ modulator. A hybrid finite impulse response (FIR) filtering technique based on a semidigital approach enables low-OSR $Delta Sigma$ modulation with robust quantization noise reduction despite circuit mismatch and nonlinearity. A prototype 1-GHz $Delta Sigma$ fractional-$N$ PLL is implemented in 0.18 $muhbox{m}$ CMOS. Experimental results show that the proposed semidigital method effectively suppresses the out-of-band quantization noise, resulting in nearly 30% reduction in short-term jitter.      

A Hybrid Spur Compensation Technique for Finite-Modulo Fractional-N Phase-Locked Loops

A finite-modulo fractional-$N$ PLL utilizing a low-bit high-order $DeltaSigma$ modulator is presented. A 4-bit fourth-order $DeltaSigma$ modulator not only performs non-dithered 16-modulo fractional-$N$ operation but also offers less spur generation with negligible quantization noise. Further spur reduction is achieved by charge compensation in the voltage domain and phase interpolation in the time domain, which significantly relaxes the dynamic range requirement of the charge pump compensation current. A 1.8–2.6 GHz fractional-$N$ PLL is implemented in 0.18 $mu{hbox {m}}$ CMOS. By employing high-order deterministic $DeltaSigma$ modulation and hybrid spur compensation, the spur level of less than $-$55 dBc is achieved when the ratio of the bandwidth to minimum frequency resolution is set to 1/4. The prototype PLL consumes 35.3 mW in which only 2.7 mW is consumed by the digital modulator and compensation circuits.      

Dynamic Current-Matching Charge Pump and Gated-Offset Linearization Technique for Delta-Sigma Fractional- $N$ PLLs

This paper proposes a novel charge pump (CP) circuit and a gated-offset linearization technique to improve the performance of a delta-sigma $(Delta Sigma)$ fractional-$N$ PLL. The proposed CP circuit achieves good up/down current matching, while the proposed linearization method enables the PFD/CP system to operate at an improved linear region. The proposed techniques are demonstrated in the design of a 2.4-GHz $Delta Sigma$ fractional-$N$ PLL. The experimental results show these techniques considerably improve the in-band phase noise and fractional spurs. In addition, the proposed gated-offset CP topology further lowers the reference spurs by more than 8 dB over the conventional fixed-offset approach. This chip is implemented in the TSMC 0.18- $mu$m CMOS process. The fully-integrated $Delta Sigma$ fractional-$N$ PLL dissipates 22 mW from a 1.8-V supply voltage.      

A Programmable 25-MHz to 6-GHz $K/L$ Frequency Multiplier With Digital $K_{rm vco}$ Compensation

A programmable rational-$K/L$ frequency multiplier that can synthesize any frequency between 25 MHz and 6 GHz from an input clock ranging from 1 to 5.5 GHz is presented. The architecture employs a fractional-$N$ input clock divider followed by a fractional- $N$ PLL. In contrast to conventional architectures, this allows large $K$ and $L$ , whose maximum values are limited only by the word-length of digital $SigmaDelta$ modulators. Additionally, to alleviate large $K_{rm vco}$ variation and fractional spurs, which are inevitable in wide tuning range VCOs and fractional-$N$ synthesizers, new compensation techniques are implemented without involving additional circuitry. This is an ideal solution to support a programmable serializer/deserializer on a field-programmable gate array.      

$S$ - and $C$ -Band Ultra-Compact Phase Shifters Based on All-Pass Networks

Ultra-compact phase shifters are presented. The proposed phase-shifting circuits utilize the lumped element all-pass networks. The transition frequency of the all-pass network, which determines the size of the circuit, is set to be much higher than the operating frequency. This results in a significantly small chip size of the phase shifter. To verify this methodology, 5-bit phase shifters have been fabricated in the $S$ - and $C$ -band. The $S$ -band phase shifter, with a chip size of 1.87 mm $,times,$0.87 mm (1.63 mm $^{2}$), has achieved an insertion loss of ${hbox{6.1 dB}} pm {hbox{0.6 dB}}$ and rms phase-shift error of less than 2.8$^{circ}$ in 10% bandwidth. The $C$ -band phase shifter, with a chip size of 1.72 mm $,times,$0.81 mm (1.37 mm $^{2}$), has demonstrated an insertion loss of 5.7 dB $pm$ 0.8 dB and rms phase-shift error of less than 2.3 $^{circ}$ in 10% bandwidth.      

Analysis and Design of a CMOS UWB LNA With Dual- -Branch Wideband Input Matching Network

A wideband low-noise amplifier (LNA) based on the current-reused cascade configuration is proposed. The wideband input-impedance matching was achieved by taking advantage of the resistive shunt–shunt feedback in conjunction with a parallel LC load to make the input network equivalent to two parallel $RLC$-branches, i.e., a second-order wideband bandpass filter. Besides, both the inductive series- and shunt-peaking techniques are used for bandwidth extension. Theoretical analysis shows that both the frequency response of input matching and noise figure (NF) can be described by second-order functions with quality factors as parameters. The CMOS ultra-wideband LNA dissipates 10.34-mW power and achieves ${ S}_{11}$ below $-$8.6 dB, ${ S}_{22}$ below $-$10 dB, ${ S}_{12}$ below $-$26 dB, flat ${ S}_{21}$ of 12.26 $pm$ 0.63 dB, and flat NF of 4.24 $ pm$ 0.5 dB over the 3.1–10.6-GHz band of interest. Besides, good phase linearity property (group-delay variation is only $pm$22 ps across the whole band) is also achieved. The analytical, simulated, and measured results agree well with one another.      

$N times N$ Cyclic-Frequency Router With Improved Performance Based on Arrayed-Waveguide Grating

We have developed an $N times N$ cyclic-frequency router with improved performance by employing two types of modified configuration; a uniform-loss and cyclic-frequency (ULCF) arrayed-waveguide grating (AWG) and an interconnected multiple AWG. We have demonstrated a compact 50-GHz-spacing 64 $,times,$64 ULCF-AWG router with low and uniform insertion losses of 5.4–6.8 dB and frequency deviations from the grid of less than $pm {8}~{rm GHz}$. We have also demonstrated a 100-GHz-spacing 8$,times,$8 interconnected multiple-AWG router with a practical configuration, very low and uniform insertion losses of 2.3–3.4 dB, and frequency deviations from the grid of less than $pm {6}~{rm GHz}$. We discuss the suitable or realizable scale $N$ of the two types of routers by comparison with a conventional AWG router in terms of optical and dimensional performance and productivity.      

A Parallel Pruned Bit-Reversal Interleaver

A parallel algorithm and architecture for pruned bit-reversal interleaving (PBRI) are proposed. For a pruned interleaver of size $N$ with mother interleaver size $M=2^{n} geq N$, the proposed algorithm interleaves any number $xin [0,N-1]$ in at most $n-1$ steps, as opposed to $x$ steps using existing PBRI algorithms. A parallel architecture of the proposed algorithm employing simple logic gates and having a short critical path delay is presented. The proposed architecture is valuable in reducing (de-)interleaving latency in emerging wireless standards that employ PBRI channel (de-)interleaving in their PHY layer such as the 3GPP2 Ultra Mobile Broadband standard.      

Separated Unicast/Multicast Splitter-and-Delivery Switch and Its Use in Multicasting-Capable Optical Cross-Connect

We propose a novel separated unicast/multicast splitter-and-delivery (SUM-SaD) switch for mixed unicast and multicast traffic. Only multicast connections undergo extra splitting loss but are compensated by incorporated optical amplifiers. A typical multicasting-capable optical cross-connect is constructed by using the proposed SUM-SaDs. Theoretically, we prove that it is strictly nonblocking for both unicast and multicast connections if $d=N/2$, where $N$ and $d$ are the dimension of SUM-SaD and the number of SaD input ports, respectively. Therefore, $d$ means the maximum accommodated trees in the SUM-SaD. To save cost, $d$ can be less than $N/2$ , and the throughput performance is investigated by simulation. The results show that the throughput is improved when $d$ increases. In the experiment, we construct a 4 $times$ 4 SUM-SaD prototype and measure the bit-error rate (BER) of unicast connection, multicast connection with or without optical amplifier. There is no clear BER difference between them for the small dimensional SUM-SaD switch.      

An Analytical Method to Extract the Physical Parameters of a Solar Cell From Four Points on the Illuminated $J{-}V$ Curve

For a variety of solar cells, it is shown that the single exponential $J{-}V$ model parameters, namely—ideality factor $eta$ , parasitic series resistance $R_{s}$, parasitic shunt resistance $R_{rm sh}$, dark current $J_{0}$, and photogenerated current $J_{rm ph}$ can be extracted simultaneously from just four simple measurements of the bias points corresponding to $V_{rm oc}$, $sim!hbox{0.6}V_{rm oc}$, $J_{rm sc}$, and $sim! hbox{0.6}J_{rm sc}$ on the illuminated $J{-}V$ curve, using closed-form expressions. The extraction method avoids the measurements of the peak power point and any $dJ/dV$ (i.e., slope). The method is based on the power law $J{-}V$ model proposed recently by us.      

A 5-GHz CMOS Type-II PLL With Low $K_{rm VCO}$ and Extended Fine-Tuning Range

A 5-GHz dual-path integer-$N$ Type-II phase-locked loop (PLL) uses an LC voltage-controlled oscillator and softly switched varactors in an overlapped digitally controlled integral path to allow a large fine-tuning range of approximately 160 MHz while realizing a low susceptibility to noise and spurs by using a low $K_{rm VCO}$ of 3.2 MHz/V. The reference spur level is less than $-$70 dBc with a 1-MHz reference frequency and a total loop-filter capacitance of 26 pF. The measured phase noise is $-$75 and $-$115 dBc/Hz at 10-kHz and 1-MHz offsets, respectively, using a loop bandwidth of approximately 30 kHz. This 0.25-${hbox{mm}}^{2}$ PLL is fabricated in a 90-nm digital CMOS process and consumes 11 mW from a 1.2-V supply.      

2 MHz AO $Q$ -switched ${rm TEM}_{00}$ Grazing Incidence Laser With 3 at.% Neodymium Doped Nd:YVO$_{4}$

We present a detailed experimental and theoretical study of the ultrahigh repetition rate AO $Q$ -switched ${rm TEM}_{00}$ grazing incidence laser. Up to 2.1 MHz $Q$-switching with ${rm TEM}_{00}$ output of 8.6 W and 2.2 MHz $Q$ -switching with multimode output of 10 W were achieved by using an acousto-optics $Q$ -switched grazing-incidence laser with optimum grazing-incidence angle and cavity configuration. The crystal was 3 at.% neodymium doped Nd:YVO$_{4}$ slab. The pulse duration at 2 MHz repetition rate was about 31 ns. The instabilities of pulse energy at 2 MHz repetition rate were less than ${pm}6.7hbox{%}$ with ${rm TEM}_{00}$ operation and ${pm}3.3hbox{%}$ with multimode operation respectively. The modeling of high repetition rate $Q$-switched operation is presented based on the rate equation, and with the solution of the modeling, higher pump power, smaller section area of laser mode, and larger stimulated emission cross section of the gain medium are beneficial to the $Q$-switched operation with ultrahigh repetition rate, which is in consistent with the experimental results.      

$hbox{TiN/ZrO}_{2}$/Ti/Al Metal–Insulator–Metal Capacitors With Subnanometer CET Using ALD-Deposited $hbox{ZrO}_{2}$ for DRAM Applications

We provide the first report of the structural and electrical properties of $hbox{TiN/ZrO}_{2}$/Ti/Al metal–insulator–metal capacitor structures, where the $hbox{ZrO}_{2}$ thin film (7–8 nm) is deposited by ALD using the new zirconium precursor ZrD-04, also known as Bis(methylcyclopentadienyl) methoxymethyl. Measured capacitance–voltage ($C$– $V$) and current–voltage ( $I$–$V$) characteristics are reported for premetallization rapid thermal annealing (RTP) in $hbox{N}_{2}$ for 60 s at 400 $^{circ}hbox{C}$, 500 $^{circ}hbox{C}$, or 600 $^{ circ}hbox{C}$. For the RTP at 400 $^{circ}hbox{C}$ , we find very low leakage current densities on the order of nanoamperes per square centimeter at a gate voltage of 1 V and low capacitance equivalent thickness values of $sim$ 0.9 nm at a gate voltage of 0 V. The dielectric constant of $ hbox{ZrO}_{2}$ is 31 $pm$ 2 after RTP treatment at 400 $^{circ}hbox{C}$.      

An Edge Missing Compensator for Fast Settling Wide Locking Range Phase-Locked Loops

An edge missing compensator (EMC) is proposed to approach the function of an ideal PD with $pm 2 ^{N-1} times 2pi $ linear range with $N$-bit EMC. A PLL implemented with a 9-bit EMC achieves 320 MHz frequency hopping within 10 $~mu{hbox {s}}$ logarithmically which is about 2.4 times faster than the conventional design. The reference spur of the PLL is ${-}{hbox {48.7~dBc}}$ and the phase noise is ${-}hbox{88.31~dBc/Hz}$ at 10 kHz offset with $K_{rm VCO}= -$ 2 GHz/V.      

Operation of a 25-Gb/s Direct Modulation Ridge Waveguide MQW-DFB Laser up to 85 $^{circ}$ C

We demonstrated a 25-Gb/s direct modulation up to 85 $^{circ}$C with a 1.3- $mu$m InGaAlAs ridge-waveguide multiple-quantum-well distributed-feedback laser. The dependence of the relaxation oscillation frequency on current was 3.3 GHz/mA$^{1 / 2}$, and this is the highest value ever reported for 200-$mu$m-long lasers in the 1.3-$mu$m wavelength region. The $alpha$ parameter was around 2.7 at 25 $^{circ}$C, and an error-free operation after a 10-km single-mode fiber transmission was obtained up to 85 $^{circ}$C.      

A Sub-0.2$^{circ}/$ hr Bias Drift Micromechanical Silicon Gyroscope With Automatic CMOS Mode-Matching

This paper describes a system architecture and CMOS implementation that leverages the inherently high mechanical quality factor (Q) of a MEMS gyroscope to improve performance. The proposed time domain scheme utilizes the often-ignored residual quadrature error in a gyroscope to achieve, and maintain, perfect mode-matching (i.e., $sim$0 Hz split between the high-Q drive and sense mode frequencies), as well as electronically control the sensor bandwidth. A CMOS IC and control algorithm have been interfaced with a 60 $mu{hbox {m}}$ thick silicon mode-matched tuning fork gyroscope $({rm M}^{2}mathchar"707B {rm TFG})$ to implement an angular rate sensing microsystem with a bias drift of 0.16$^{circ}/{hbox{hr}}$. The proposed technique allows microsystem reconfigurability—the sensor can be operated in a conventional low-pass mode for larger bandwidth, or in matched mode for low-noise. The maximum achieved sensor Q is 36,000 and the bandwidth of the microsensor can be varied between 1 to 10 Hz by electronic control of the mechanical frequencies. The maximum scale factor of the gyroscope is 88 ${hbox{mV}}/^{circ}/{hbox{s}}$ . The 3$~$ V IC is fabricated in a standard 0.6 $ mu{hbox {m}}$ CMOS process and consumes 6 mW of power with a die area of 2.25 ${hbox {mm}}^{2}$.      

A Noise-Coupled Time-Interleaved Delta-Sigma ADC With 4.2 MHz Bandwidth, ${-}$ 98 dB THD, and 79 dB SNDR

This paper describes a wideband high-linearity $Delta Sigma $ ADC. It uses noise coupling combined with time interleaving. Two versions of a two-channel time-interleaved noise-coupled $Delta Sigma $ ADC were realized in a 0.18- $mu{hbox {m}}$ CMOS technology. Noise coupling between the channels increases the effective order of the noise-shaping loops, provides dithering, and prevents tone generation in all loops. Time interleaving enhances the effects of noise coupling. Using a 1.5 V supply, the device achieved excellent linearity (${rm SFDR} > {hbox {100~dB}}$, ${rm THD}= -{hbox {98~dB}}$) and an SNDR of 79 dB in a 4.2 MHz signal band.      

180$^{circ}$ and 90$^{circ}$ Phase Shifting Networks With an Octave Bandwidth and Small Phase Errors

A new phase shifting network for both 180 $^{circ}$ and 90 $^{circ}$ phase shift with small phase errors over an octave bandwidth is presented. The theoretical bandwidth is 67% for the 180$^{circ}$ phase bit and 86% for the 90$^{circ}$ phase bit when phase errors are $pm 2^{circ}$. The proposed topology consists of a bandpass filter (BPF) branch, consisting of a LC resonator and two shunt quarter-wavelength transmission lines (TLs), and a reference TL. A theoretical analysis is provided and scalable parameters are listed for both phase bits. To test the theory, phase shifting networks from 1 GHz to 3 GHz were designed. The measured phase errors of the 180$^{circ}$ and the 90$^{circ}$ phase bit are $pm 3.5^{circ}$ and $pm 2.5^{circ}$ over a bandwidth of 73% and 102% while the return losses are better than 18 dB and 12 dB, respectively.      

Q-Band pHEMT and mHEMT Subharmonic Gilbert Upconversion Mixers

This letter makes a comparison between Q-band 0.15 $mu{rm m}$ pseudomorphic high electron mobility transistor (pHEMT) and metamorphic high electron mobility transistor (mHEMT) stacked-LO subharmonic upconversion mixers in terms of gain, isolation and linearity. In general, a 0.15 $mu{rm m}$ mHEMT device has a higher transconductance and cutoff frequency than a 0.15 $mu{rm m}$ pHEMT does. Thus, the conversion gain of the mHEMT is higher than that of the pHEMT in the active Gilbert mixer design. The Q-band stacked-LO subharmonic upconversion mixers using the pHEMT and mHEMT technologies have conversion gain of $-$7.1 dB and $-$0.2 dB, respectively. The pHEMT upconversion mixer has an ${rm OIP}_{3}$ of $-$12 dBm and an ${rm OP}_{1 {rm dB}}$ of $-$24 dBm, while the mHEMT one shows a 4 dB improvement on linearity for the difference between the ${rm OIP}_{3}$ and ${rm OP}_{1 {rm dB}}$. Both the chip sizes are the same at 1.3 mm $times$ 0.9 mm.      

A Dual-Band Self-Oscillating Mixer for -Band and -Band Applications

A self-oscillating mixer that employs both the fundamental and harmonic signals generated by the oscillator subcircuit in the mixing process is experimentally demonstrated. The resulting circuit is a dual-band down-converting mixer that can operate in $C$ -band from 5.0 to 6.0 GHz, or in $X$-band from 9.8 to 11.8 GHz. The oscillator uses active superharmonic coupling to enforce the quadrature relationship of the fundamental outputs. Either the fundamental outputs of the oscillator or the second harmonic oscillator output signals that exists at the common-mode nodes are connected to the mixer via a set of complementary switches. The mixer achieves a conversion gain between 5–12 dB in both frequency bands. The output 1-dB compression points for both modes of the mixer are approximately $-{hbox{5 dBm}}$ and the output third-order intercept point for $C$ -band and $X$ -band operation are 12 and 13 dBm, respectively. The integrated circuit was fabricated in 0.13-$mu {hbox{m}}$ CMOS technology and measures ${hbox{0.525 mm}}^{2}$ including bonding pads.