Integrated Quadrature Couplers and Their Application in Image-Reject Receivers

Several fully-integrated multi-stage lumped-element quadrature hybrids that enhance bandwidth, amplitude and phase accuracies, and robustness are presented, and a fully-integrated double-quadrature heterodyne receiver front-end that uses two-stage Lange/Lange couplers is described. The Lange/Lange cascade exploits the inherent wide bandwidth characteristic of the Lange hybrid and enables a robust design using a relatively low transformer coupling coefficient. The measured image-rejection ratio is $>$ 55 dB over a 200 MHz bandwidth centered around 5.25 $~$GHz without any tuning, trimming, or calibration; the front-end features 23.5 dB gain, $-$79 dBm sensitivity, 5.6 dB SSB NF, $-$7$~$ dBm IIP3, $-$18 dB $S_{11}$ and a 1 mm $times$ 2 mm die area in 0.18$ mu{hbox {m}}$ CMOS.      

On the Cusick–Cheon Conjecture About Balanced Boolean Functions in the Cosets of the Binary Reed–Muller Code

In this paper, an amplification of the Cusick–Cheon conjecture on balanced Boolean functions in the cosets of the binary Reed–Muller code $RM(k,m)$ of order $k$ and length $2^m$, in the cases where $k = 1$ or $k geq (m-1)/2$, is proved.      

Cyclic Codes and Sequences From Generalized Coulter–Matthews Function

In this paper, we will study the exponential sum $sum_{xin {BBF}_q}chi(alpha x^{(p^k+1)/2}+beta x)$ that is related to the generalized Coulter–Matthews function $x^{(p^k+1)/2}$ with $k/{rm gcd}(m,k)$ odd. As applications, we obtain the following: the correlation distribution of a $p$-ary $m$-sequence and a decimated $m$-sequence of degree ${p^k+1 over 2}$;      

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 ${hbox {mm}}^{2}$.      

Sharp $p$ -Divisibility of Weights in Abelian Codes Over ${BBZ}/p^d{BBZ}$

A theorem of McEliece on the $p$-divisibility of Hamming weights in cyclic codes over ${BBF}_p$ is generalized to Abelian codes over ${{{BBZ}/p^d{BBZ}}}$. This work improves upon results of Helleseth–Kumar–Moreno–Shanbhag, Calderbank–Li–Poonen, Wilson, and Katz. These previous attempts are not sharp in general, i.e., do not report the full extent of the $p$ -divisibility except in special cases, nor do they give accounts of the precise circumstances under which they do provide best possible results. This paper provides sharp results on $p$-divisibilities of Hamming weights and counts of any particular symbol for an arbitrary Abelian code over ${{{BBZ}/p^d{BBZ}}}$. It also presents sharp results on $2$-divisibilities of Lee and Euclidean weights for Abelian codes over ${{{BBZ}/4{BBZ}}}$.      

On the Values of Kloosterman Sums

Given a prime $p$ and a positive integer $n$ , we show that the shifted Kloosterman sums $$sum _{x in BBF _{p^{n}}} psi (x + ax^{p^{n}-2}) = sum _{xin BBF _{p^{n}}^{ast }} psi(x + ax^{-1}) + 1, quad a inBBF _{p^{n}}^{ast }$$ where $psi$ is a nontrivial additive character of a finite field $BBF _{p^{n}}$ of $p^{n}$ elements, do not vanish if $a$ belongs to a small subfield $BBF_{p^{m}} subseteq BBF _{p^{n}}$. This complements recent results of P. Charpin and G. Gong which in turn were motivated by some applications to bent functions.      

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.      

A 3-D High-Frequency Array Based 16 Channel Photoacoustic Microscopy System for In Vivo Micro-Vascular Imaging

This paper discusses the design of a novel photoacoustic microscopy imaging system with promise for studying the structure of tissue microvasculature for applications in visualizing angiogenesis. A new 16 channel analog and digital high-frequency array based photoacoustic microscopy system (PAM) was developed using an Nd:YLF pumped tunable dye laser, a 30 MHz piezo composite linear array transducer, and a custom multichannel receiver electronics system. Using offline delay and sum beamforming and beamsteering, phantom images were obtained from a 6 $mu{hbox {m}}$ carbon fiber in water at a depth of 8 mm. The measured $-6~{rm dB}$ lateral and axial spatial resolution of the system was $100pm 5~mu{hbox {m}}$ and $45pm 5~mu{hbox {m}}$, respectively. The dynamic focusing capability of the system was demonstrated by imaging a composite carbon fiber matrix through a 12.5 mm imaging depth. Next, 2-D in vivo images were formed of vessels around 100 $mu{hbox {m}}$ in diameter in the human hand. Three-dimensional in vivo images were also formed of micro-vessels 3 mm below the surface of the skin in two Sprague Dawley rats.      

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.      

Universal Lossless Compression of Erased Symbols

A source ${mmb X}$ goes through an erasure channel whose output is ${mmb Z}$. The goal is to compress losslessly ${mmb X}$ when the compressor knows ${mmb X}$ and ${mmb Z}$ and the decompressor knows ${mmb Z}$. We propose a universal algorithm based on context-tree weighting (CTW), parameterized by a memory-length parameter $ell$. We show that if the erasure channel is stationary and memoryless, and ${mmb X}$ is stationary and ergodic, then the proposed algorithm achieves a compression rate of $H(X_0vert X_{-ell}^{-1}, Z^ell)$ bits per erasure.      

Robust Precoder Adaptation for MIMO Links With Noisy Limited Feedback

In this paper, we propose two robust limited feedback designs for multiple-input multiple-output (MIMO) adaptation. The first scheme, namely, the combined design jointly optimizes the adaptation, CSIT (channel state information at the transmitter) feedback as well as index assignment strategies. The second scheme, namely, the decoupled design, focuses on the index assignment problem given an error-free limited feedback design. Simulation results show that the proposed framework has significant capacity gain compared to the naive design (designed assuming there is no feedback error). Furthermore, for large number of feedback bits $C_{rm fb}$, we show that under two-nearest constellation feedback channel assumption, the MIMO capacity loss (due to noisy feedback) of the proposed robust design scales like ${cal O}(P_e2^{-{{C_{rm fb}}over{t+1}}})$ for some positive integer $t$. Hence, the penalty due to noisy limited feedback in the proposed robust design approaches zero as $C_{rm fb}$ increases.      

Modeling of Distributed RLC Interconnect and Transmission Line via Closed Forms and Recursive Algorithms

This paper presents the closed forms of the state-space models and the recursive algorithms of the transfer function models for fast and accurate modeling of the distributed RLC interconnect and transmission lines, which may be evenly or unevenly distributed. Considered models include the distributed RLC interconnect lines with or without external source and load connection. The effective closed forms and recursive algorithms do not involve any matrix inverse, LU matrix factorization, or matrix multiplication, thus reducing the computation complexity dramatically. Especially, the computation complexity of the closed forms for any evenly or unevenly distributed RLC interconnect line circuits is only O(1) or $ { O}(m)$, respectively, in sense of the scalar multiplication times, where $ { m}ll{ N}$ of the system order. The features of new recursive algorithms are two recursive s-polynomials and the low computation complexity. Examples illustrate the new methods in both time and frequency domains. Comparing with the PSpice, the new methods can dramatically reduce the runtime of the time responses and the Bode plots by 25% – 98.5% in the examples. The results can be applied to the RLC interconnect analysis and model reduction as a key to new approach.      

Properties and Applications of Preimage Distributions of Perfect Nonlinear Functions

The preimage distributions of perfect nonlinear functions from an Abelian group of order $n$ to an Abelian group of order $3$ or $4$, respectively, are studied. Based on the properties of the preimage distributions of perfect nonlinear functions from an Abelian group of order $3^{r}$ to an Abelian group of order $3$, the weight distributions of the ternary linear codes $C_{Pi}$ from the perfect nonlinear functions $Pi (x)$ from $F_{3^{r}}$ to itself are determined. These results suggest that two open problems, proposed by Carlet, Ding, and Yuan in 2005 and 2006, respectively, are answered.      

A 2.7 mW, 90.3 dB DR Continuous-Time Quadrature Bandpass Sigma-Delta Modulator for GSM/EDGE Low-IF Receiver in 0.25 $mu$m CMOS

Quadrature bandpass $SigmaDelta$ modulators based on polyphase filters are suited for analog-to-digital conversion in GSM/EDGE low-IF receivers. This paper presents a continuous-time quadrature bandpass sigma-delta $(SigmaDelta)$ modulator with a chain of integrators with weighted capacitive feedforward summation (CICFF) topology—which is a desirable solution for implementation in low power applications. A new compensation scheme for the polyphase filter is proposed. The summation of feedforward signals is implemented by weighted capacitors, without the necessity of any additional active components. The effectiveness of the proposed architecture is proved on a test chip which was designed in a standard 0.25 $muhbox{m}$ CMOS technology. The designed $SigmaDelta$ modulator has a power consumption of 2.7 mW at 1.8 V supply voltage, a dynamic range of 90.3 dB and a peak SNDR of 86.8 dB. The chip area is $0.5times 1.4 {hbox{mm}}^{2}$ including pads.      

Unified Pascal Matrix for First-Order $s{hbox{–}}z$ Domain Transformations

The so-called generalized Pascal matrix is used for transforming a continuous-time (CT) linear system (filter) into a discrete-time (DT) one. This paper derives an explicit expression for a new generalized Pascal matrix called unified Pascal matrix from a unified first-order $s$-to- $z$ transformation model and rigorously proves the inverses for various first-order $s$-to- $z$ transformations. After deriving a recurrence formula for recursively generating the inner elements of the unified Pascal matrix from its boundary elements, we also show that the recurrence formula leads to computationally unstable solutions for high-order systems due to the so-called catastrophic cancellation in numerical computation, but the unstable problem can be solved through partitioning the whole unified Pascal matrix into several small matrices (submatrices) and then using the recurrence formula to compute the submatrices individually from their boundary elements. This operation almost retains the same computational complexity while guarantees numerically stable solutions. Moreover, an interesting property of the unified Pascal matrix is proved.      

Lattice-Mismatched $hbox{In}_{0.4}hbox{Ga}_{0.6} hbox{As}$ Source/Drain Stressors With In Situ Doping for Strained $hbox{In}_{0.53}hbox{Ga}_{0.47}hbox{As}$ Channel n-MOSFETs

We report the first demonstration of a strained $hbox{In}_{0.53} hbox{Ga}_{0.47}hbox{As}$ channel n-MOSFET featuring in situ doped $hbox{In}_{0.4}hbox{Ga}_{0.6}hbox{As}$ source/drain (S/D) regions. The in situ silicondoped $hbox{In}_{0.4}hbox{Ga}_{0.6}hbox{As}$ S/D was formed by a recess etch and a selective epitaxy of $hbox{In}_{0.4}hbox{Ga}_{0.6}hbox{As}$ in the S/D by metal–organic chemical vapor deposition. A lattice mismatch of $sim$0.9% between $ hbox{In}_{0.53}hbox{Ga}_{0.47}hbox{As}$ and $hbox{In}_{0.4} hbox{Ga}_{0.6}hbox{As}$ S/D gives rise to lateral tensile strain and vertical compressive strain in the $hbox{In}_{0.53}hbox{Ga}_{0.47}hbox{As}$ channel region. In addition, the in situ Si-doping process increases the carrier concentration in the S/D regions for series-resistance reduction. Significant drive-current improvement over the control n-MOSFET with Si-implanted $hbox{In}_{0.53}hbox{Ga}_{0.47}hbox{As}$ S/D regions was achieved. This is attributed to both the strain-induced band-structure modification in the channel that reduces the effective electron mass along the transport direction and the reduction in the S/D series resistance.      

High-Temperature High-Power Operation of GaInNAs Laser Diodes in the 1220–1240-nm Wavelength Range

We report on the high-temperature performance of high-power GaInNAs broad area laser diodes with different waveguide designs emitting in the 1220–1240-nm wavelength range. Large optical cavity laser structures enable a maximum continuous-wave output power of $>$8.9 W at ${T}=20 ^{circ}$C with emission at 1220 nm and are characterized by low internal losses of 0.5 cm$^{-1}$ compared to 2.9 cm$^{-1}$ for the conventional waveguide structures. High-power operation up to temperatures of 120 $^{circ}$C is observed with output powers of $>$4 W at ${T}=90 ^{circ}$C. This laser diode showed characteristic temperatures of ${T}_{0} =112$ K and ${T}_{1}=378$ K.      

A Cutsets-Based Unified Framework to Evaluate Network Reliability Measures

This paper presents a minimal cutsets-based unified framework to evaluate some commonly used reliability measures: $g$-terminal, 2-terminal, and $k$-terminal reliability. In doing so, the paper proposes a single algorithm, which generates the network node sets. From these node sets, depending on the reliability measure(s), only those node sets are kept, which contains at least one node from the specified node set. These selected node sets form link-minimal cutsets. These minimal cutsets are used as an input to multi-variable inversion-based sum-of-disjoint product approach to obtain the unreliability expression thereafter. By solving several network examples of varied complexities, the comparison with the existing approach is provided.      

Development of Optical MUX/DEMUX on Silicon Optical Bench—Assembly Accuracies

An optical subassembly of MUX/DEMUX where optical devices are hybrid-integrated on a silicon optical bench (SiOB) using a passive alignment method is reported. A tight tolerance of positional and tilting angular accuracy is required for optical devices attachment in order to maximize the coupling efficiency. The critical positioning transverse to the optical axis merely depends on the symmetry, and accuracy of the position and shape of trenches. Any inaccuracy primarily affects the noncritical positioning, i.e., $z$-axis and $theta{ z}$, in the direction along the optical axis; misalignment accumulated and causes undesired insertion loss. All the piece parts, i.e., mirror, thin-film filters (TFFs), ball lens, SiOB, etc., have a defined tolerance in their dimensions and surfaces which increases the challenge in achieving high placement accuracy along the optical axis. The effects from these inherent inaccuracies of the position and shape of trenches and piece parts could be minimized by optimizing the adhesive volume, improve the bottom flatness, proper procedure selection. Misalignment at each axis, e.g., x-, y-, z-, $theta{ x}$, $theta{ y}$, and $theta{ z}$ was characterized and its effect to the coupling efficiency was discussed.