Linearization and Efficiency Enhancement Techniques for RF and Baseband Analog Circuits

High linearity transmitters and receivers should be used to efficiently utilize the available channel bandwidth. Power consumption is also a critical factor that determines the battery life of portable devices and wireless sensors. Three base-band and RF building blocks are designed with the focus of high linearity and low power consumption. An architectural attenuation-predistortion linearization scheme for a wide range of operational transconductance amplifiers (OTAs) is proposed and demonstrated with a transconductance-capacitor (Gm-C) filter. The linearization technique utilizes two matched OTAs to cancel output harmonics, creating a robust architecture. Compensation for process variations and frequency-dependent distortion based on Volterra series analysis is achieved by employing a delay equalization scheme with on-chip programmable resistors. The distortion-cancellation technique enables an IM3 improvement of up to 22dB compared to a commensurate OTA without linearization. A proof-of-concept lowpass filter with the linearized OTAs has a measured IM3 < -70dB and 54.5dB dynamic range over its 195MHz bandwidth. Design methodology for high efficiency class D power amplifier is presented. The high efficiency is achieved by using higher current harmonic to achieve zero voltage switching (ZVS) in class D power amplifier. The matching network is used as a part of the output filter to remove the high order harmonics. Optimum values for passive circuit elements and transistor sizes have been derived in order to achieve the highest possible efficiency. The proposed power amplifier achieves efficiency close to 60 percent at 400 MHz for -2dBm of output power. High efficiency class A power amplifier using dynamic biasing technique is presented. The power consumption of the power amplifier changes dynamically according to the output signal level. Effect of dynamic bias on class A power amplifier linearity is analyzed and the results were verified using simulations. The linearity of the dynamically biased amplifier is improved by adjusting the preamplifier gain to guarantee constant overall gain for different input signal levels

Development of Robust Analog and Mixed-Signal Circuits in the Presence of Process- Voltage-Temperature Variations

Continued improvements of transceiver systems-on-a-chip play a key role in the advancement of mobile telecommunication products as well as wireless systems in biomedical and remote sensing applications. This dissertation addresses the problems of escalating CMOS process variability and system complexity that diminish the reliability and testability of integrated systems, especially relating to the analog and mixed-signal blocks. The proposed design techniques and circuit-level attributes are aligned with current built-in testing and self-calibration trends for integrated transceivers. In this work, the main focus is on enhancing the performances of analog and mixed-signal blocks with digitally adjustable elements as well as with automatic analog tuning circuits, which are experimentally applied to conventional blocks in the receiver path in order to demonstrate the concepts. The use of digitally controllable elements to compensate for variations is exemplified with two circuits. First, a distortion cancellation method for baseband operational transconductance amplifiers is proposed that enables a third-order intermodulation (IM3) improvement of up to 22dB. Fabricated in a 0.13µm CMOS process with 1.2V supply, a transconductance-capacitor lowpass filter with the linearized amplifiers has a measured IM3 below -70dB (with 0.2V peak-to-peak input signal) and 54.5dB dynamic range over its 195MHz bandwidth. The second circuit is a 3-bit two-step quantizer with adjustable reference levels, which was designed and fabricated in 0.18µm CMOS technology as part of a continuous-time SigmaDelta analog-to-digital converter system. With 5mV resolution at a 400MHz sampling frequency, the quantizer's static power dissipation is 24mW and its die area is 0.4mm^2. An alternative to electrical power detectors is introduced by outlining a strategy for built-in testing of analog circuits with on-chip temperature sensors. Comparisons of an amplifier's measurement results at 1GHz with the measured DC voltage output of an on-chip temperature sensor show that the amplifier's power dissipation can be monitored and its 1-dB compression point can be estimated with less than 1dB error. The sensor has a tunable sensitivity up to 200mV/mW, a power detection range measured up to 16mW, and it occupies a die area of 0.012mm^2 in standard 0.18µm CMOS technology. Finally, an analog calibration technique is discussed to lessen the mismatch between transistors in the differential high-frequency signal path of analog CMOS circuits. The proposed methodology involves auxiliary transistors that sense the existing mismatch as part of a feedback loop for error minimization. It was assessed by performing statistical Monte Carlo simulations of a differential amplifier and a double-balanced mixer designed in CMOS technologies

대역 외 방해신호에 내성을 가지는 광대역 수신기에 관한 연구

학위논문 (박사)-- 서울대학교 대학원 : 공과대학 전기·컴퓨터공학부, 2018. 2. 남상욱.In this thesis, a study of wideband receivers as one of the practical SDR receiver implementations is presented. The out-of-band interference signal (or blocker), which is the biggest problem of the wideband receiver is investigated, and have studied how to effectively remove it. As a result of reviewing previous studies, we have developed a wideband receiver based on the current-mode receiver structure and attempted to eliminate the blocker. The contents of the step-by-step research are as follows. First, attention was paid to the linearity of a low-noise transconductance amplifier (LNTA), which is the base block of current-mode receivers. In current-mode receivers, the LNTA should have a high transconductance (Gm) value to achieve a low noise figure, but a high Gm value results in low linearity. To solve this trade-off, we proposed a linearization method of transconductors. The proposed technique eliminates the third-order intermodulation distortion (IMD3) in a feed-forward manner using two paths. A transconductor having a transconductance of 2Gm is disposed in the main path, and an amplifier having a gain of ∛2 and a Gm-sized transconductor are located in the auxiliary path. This structure allows for some fundamental signal loss but cancel the IMD3 component at the output. As a result, the entire transconductor circuit can have high linearity due to the removed IMD3 component. We have designed a reconfigurable high-pass filter using a linearized transconductor and have demonstrated its performance. The fabricated circuit achieved a high input-referred third-order intercept point(IIP3) performance of 19.4 dBm. Then, a further improved linearized transconductor is designed. Since the linearized transconductors have a high noise figure due to the additional circuitry used for linearization, we have proposed a more suitable form for application to LNTA through noise figure analysis. The improved LNTA is designed to operate in low noise mode when there is no blocker, and can be switched to operate in high linearity mode when the blocker exists. We also applied noise cancelling techniques to the receiver to improve the noise figure performance of the wideband receiver circuit. A feedback path has been added to the current-mode receiver structure consisting of the LNTA, the mixer and the baseband transimpedance amplifier (TIA), and the noise signal can be detected using this path. This feedback path also maintains the input matching of the receiver to 50 Ω in a wide bandwidth. By adding an auxiliary path to the receiver, the in-band signal is amplified and the detected noise is removed from the baseband. The completed circuit exhibited wideband performance from 0.025 GHz to 2 GHz and IIP3 performance of -6.9 dBm in the high linearity mode. Finally, we designed a double noise-cancelling wideband receiver circuit by improving the performance of a wideband receiver with high immunity to blocker signals. In previous receivers, the LNTA was operated in two modes depending on the situation. In the improved receiver, the Gm ratio of the linearized LNTA was changed and the RF noise-cancelling technique was applied. The input matching and noise cancelling scheme introduced in the previous circuit was also applied and a wideband receiver circuit was designed to perform double noise-cancelling. As a result, the linearization and noise-cancellation of LNTA could be achieved at the same time, and the completed receiver circuit showed high IIP3 performance of 5 dBm with minimum noise figure of 1.4 dB. In conclusion, this thesis proposed a linearization technique for transconductor circuit and designed a wideband receiver based on current-mode receiver. The designed receiver circuit experimentally verified that it has low noise figure performance and high IIP3 performance and is tolerant to out-of-band blocker signals.Chapter 1. Introduction 1 1.1. Motivation of Wideband Receiver Architecture 2 1.2. Challenges in Designing Wideband Receiver 7 1.3. Prior Researches 13 1.3.1. N-Path Filter 14 1.3.2. Feed-Forward Blocker Filtering 16 1.3.3. Current-Mode Receiver 18 1.4. Research Objectives and Thesis Organization 22 Chapter 2. Transconductor Linearization Technique and Design of Tunable High-pass Filter 24 2.1. Transconductor Linearization Technique 27 2.2. Design of Tunable High-pass Filter 36 2.3. Measurement Results 41 2.4. Conclusions 46 Chapter 3. Wideband Noise-Cancelling Receiver Front-End Using Linearized Transconductor 47 3.1. Low-Noise Transconductance Amplifier Based on Linearized Transconductor 49 3.2. Wideband Noise-Cancelling Receiver Architecture 58 3.3. Measurement Results 64 3.4. Conclusions 70 Chapter 4. Blocker-Tolerant Wideband Double Noise-Cancelling Receiver Front-End 71 4.1. Linearized Noise-Cancelling Low-Noise Transconductance Amplifier 73 4.2. Wideband Double Noise-Cancelling Receiver Front-End 83 4.3. Measurement Results 90 4.4. Conclusions 97 Chapter 5. Conclusions 98 Bibliography 102 Abstract in Korean 112Docto

Nonlinear models and algorithms for RF systems digital calibration

Focusing on the receiving side of a communication system, the current trend in pushing the digital domain ever more closer to the antenna sets heavy constraints on the accuracy and linearity of the analog front-end and the conversion devices. Moreover, mixed-signal implementations of Systems-on-Chip using nanoscale CMOS processes result in an overall poorer analog performance and a reduced yield. To cope with the impairments of the low performance analog section in this "dirty RF" scenario, two solutions exist: designing more complex analog processing architectures or to identify the errors and correct them in the digital domain using DSP algorithms. In the latter, constraints in the analog circuits' precision can be offloaded to a digital signal processor. This thesis aims at the development of a methodology for the analysis, the modeling and the compensation of the analog impairments arising in different stages of a receiving chain using digital calibration techniques. Both single and multiple channel architectures are addressed exploiting the capability of the calibration algorithm to homogenize all the channels' responses of a multi-channel system in addition to the compensation of nonlinearities in each response. The systems targeted for the application of digital post compensation are a pipeline ADC, a digital-IF sub-sampling receiver and a 4-channel TI-ADC. The research focuses on post distortion methods using nonlinear dynamic models to approximate the post-inverse of the nonlinear system and to correct the distortions arising from static and dynamic errors. Volterra model is used due to its general approximation capabilities for the compensation of nonlinear systems with memory. Digital calibration is applied to a Sample and Hold and to a pipeline ADC simulated in the 45nm process, demonstrating high linearity improvement even with incomplete settling errors enabling the use of faster clock speeds. An extended model based on the baseband Volterra series is proposed and applied to the compensation of a digital-IF sub-sampling receiver. This architecture envisages frequency selectivity carried out at IF by an active band-pass CMOS filter causing in-band and out-of-band nonlinear distortions. The improved performance of the proposed model is demonstrated with circuital simulations of a 10th-order band pass filter, realized using a five-stage Gm-C Biquad cascade, and validated using out-of-sample sinusoidal and QAM signals. The same technique is extended to an array receiver with mismatched channels' responses showing that digital calibration can compensate the loss of directivity and enhance the overall system SFDR. An iterative backward pruning is applied to the Volterra models showing that complexity can be reduced without impacting linearity, obtaining state-of-the-art accuracy/complexity performance. Calibration of Time-Interleaved ADCs, widely used in RF-to-digital wideband receivers, is carried out developing ad hoc models because the steep discontinuities generated by the imperfect canceling of aliasing would require a huge number of terms in a polynomial approximation. A closed-form solution is derived for a 4-channel TI-ADC affected by gain errors and timing skews solving the perfect reconstruction equations. A background calibration technique is presented based on cyclo-stationary filter banks architecture. Convergence speed and accuracy of the recursive algorithm are discussed and complexity reduction techniques are applied

CMOS ASIC Design of Multi-frequency Multi-constellation GNSS Front-ends

With the emergence of the new global navigation satellite systems (GNSSs) such as Galileo, COMPASS and GLONASS, the US Global Positioning System (GPS) has new competitors. This multiplicity of constellations will offer new services and a much better satellite coverage. Public regulated service (PRS) is one of these new services that Galileo, the first global positioning service under civilian control, will offers. The PRS is a proprietary encrypted navigation designed to be more reliable and robust against jamming and provides premium quality in terms of position and timing and continuity of service, but it requires the use of FEs with extended capabilities. The project that this thesis starts from, aims to develop a dual frequency (E1 and E6) PRS receiver with a focus on a solution for professional applications that combines affordability and robustness. To limit the production cost, the choice of a monolithic design in a multi-purpose 0.18 µm complementary metal-oxide-semiconductor (CMOS) technology have been selected, and to reduce the susceptibility to interference, the targeted receiver is composed of two independent FEs. The first ASIC described here is such FEs bundle. Each FE is composed of a radio frequency (RF) chain that includes a low-noise amplifier (LNA), a quadrature mixer, a frequency synthesizer (FS), two intermediate frequency (IF) filters, two variable-gain amplifiers (VGAs) and two 6-bit flash analog-to-digital converters (ADCs). Each have an IF bandwidth of 50 MHz to accommodate the wide-band PRS signals. The FE achieves a 30 dB of dynamic gain control at each channel. The complete receivers occupies a die area of 11.5 mm2 while consuming 115 mW from a supply of a 1.8 V. The second ASIC that targets civilian applications, is a reconfigurable single-channel FE that permits to exploit the interoperability among GNSSs. The FE can operate in two modes: a ¿narrow-band mode¿, dedicated to Beidou-B1 with an IF bandwidth of 8 MHz, and a ¿wide-band mode¿ with an IF bandwidth of 23 MHz, which can accommodate simultaneous reception of Beidou-B1/GPS-L1/Galileo-E1. These two modes consumes respectively 22.85 mA and 28.45 mA from a 1.8 V supply. Developed with the best linearity in mind, the FE shows very good linearity with an input-referred 1 dB compression point (IP1dB) of better than -27.6 dBm. The FE gain is stepwise flexible from 39 dB and to a maximum of 58 dB. The complete FE occupies a die area of only 2.6 mm2 in a 0.18 µm CMOS. To also accommodate the wide-band PRS signals in the IF section of the FE, a highly selective wide-tuning-range 4th-order Gm-C elliptic low-pass filter is used. It features an innovative continuous tuning circuit that adjusts the bias current of the Gm cell¿s input stage to control the cutoff frequency. With this circuit, the power consumption is proportional to the cutoff frequency thus the power efficiency is achieved while keeping the linearity near constant. Thanks to a Gm switching technique, which permit to keep the signal path switchless, the filter shows an extended tuning of the cutoff frequency that covers continuously a range from 7.4 MHz to 27.4 MHz. Moreover the abrupt roll-off of up to 66 dB/octave, can mitigate out-of-band interference. The filter consumes 2.1 mA and 7.5 mA at its lowest and highest cutoff frequencies respectively, and its active area occupies, 0.23 mm2. It achieves a high input-referred third-order intercept point (IIP3) of up to -1.3 dBVRMS

Design of PVT Tolerant Inverter Based Circuits for Low Supply Voltages

University of Minnesota Ph.D. dissertation. June 2015. Major: Electrical Engineering. Advisor: Ramesh Harjani. 1 computer file (PDF); xiv, 187 pages.Rapid advances in the field of integrated circuit design has been advantageous from the point of view of cost and miniaturization. Although technology scaling is advantageous to digital circuits in terms of increased speed and lower power, analog circuits strongly suffer from this trend. This is becoming a crucial bottle neck in the realization of a system on chip in scaled technology merging high-density digital parts, with high performance analog interfaces. This is because scaled technologies reduce the output impedance (gain) and supply voltage which limits the dynamic range (output swing). One way to mitigate the power supply restrictions is to move to current mode circuit circuit design rather than voltage mode designs. This thesis focuses on designing Process Voltage and Temperature (PVT) tolerant base band circuits at lower supply voltages and in lower technologies. Inverter amplifiers are known to have better transconductance efficiency, better noise and linearity performance. But inverters are prone to PVT variations and has poor CMRR and PSRR. To circumvent the problem, we have proposed various biasing schemes for inverter like semi constant current biasing, constant current biasing and constant gm biasing. Each biasing technique has its own advantages, like semi constant current biasing allows to select different PMOS and NMOS current. This feature allows for higher inherent inverter linearity. Similarly constant current and constant gm biasing allows for reduced PVT sensitivity. The inverter based OTA achieves a measured THD of -90.6 dB, SNR of 78.7 dB, CMRR 97dB, PSRR 61 dB wile operating from a nominal power of 0.9V and at output swing of 0.9V{pp,diff} in TSMC 40nm general purpose process. Further the measured third harmonic distortion varies approximately by 11.5dB with 120C variation in temperature and 9dB with a 18% variation in supply voltage. The linearity can be increased by increasing the loop gain and bandwidth in a negative feedback circuit or by increasing the over drive voltage in open loop architectures. However both these techniques increases the noise contribution of the circuit. There exist a trade off between noise and linearity in analog circuits. To circumvent this problem, we have introduced nonlinear cancellation techniques and noise filtering techniques. An analog-to-digital converter (ADC) driver which is capable of amplifying the continuous time signal with a gain of 8 and sample onto the input capacitor(1pF) of 1 10 bit successive approximation register (SAR) ADC is designed in TSMC 65nm general purpose process. This exploits the non linearity cancellation in current mirror and also allows for higher bandwidth operation by decoupling closed loop gain from the negative feedback loop. The noise from the out of band is filtered before sampling leading to low noise operation. The measured design operates at 100MS/s and has an OIP_3 of 40dBm at the nyquist rate, noise power spectral density of 17nV/sqrt{Hz} and inter modulation distortion of 65dB. The intermodulation distortion variation across 10 chips is 6dB and 4dB across a temperature variation of 120C. Non linearity cancellation is exploited in designing two filters, an anti alias filter and a continuously tunable channel select filter. Traditional active RC filters are based on cascade of integrators. These create multiple low impedance nodes in the circuit which results in a higher noise. We propose a real low pass filter based filter architecture rather than traditional integrator based approach. Further the entire filtering operation takes place in current domain to circumvent the power supply limitations. This also facilitates the use of tunable non linear metal oxide semiconductor capacitor (MOSCAP) as filter capacitors. We introduce techniques of self compensation to use the filter resistor and capacitor as compensation capacitor for lower power. The anti alias filter designed for 50MHz bandwidth is fabricated in IBM 65nm process achieves an IIP3 of 33dBm, while consuming 1.56mW from 1.2 V supply. The channel select filter is tunable from 34MHz to 314MHz and is fabricated in TSMC 65nm general purpose process. This filter achieves an OIP3 of 25.24 dBm at the maximum frequency while drawing 4.2mA from 1.1V supply. The measured intermodulation distortion varies by 5dB across 120C variation in temperature and 6.5dB across a 200mV variation in power supply. Further this filter presents a high impedance node at the input and a low impedance node at the output easing system integration. SAR ADCs are becoming popular at lower technologies as they are based on device switching rather than amplifying circuits. But recent SAR ADCs that have good energy efficiency have had relatively large input capacitance increasing the driver power. We present a 2X time interleaved (TI) SAR ADC which has the lowest input capacitance of 133fF in literature. The sampling capacitor is separated from the capacitive digital to analog converter (DAC) array by performing the input and DAC reference subtraction in the current domain rather than as done traditionally in charge domain. The proposed ADC is fabricated in TSMC's 65nm general purpose process and occupies an area of 0.0338 mm^2. The measured ADC spurious free dynamic range (SFDR) is 57dB and the measured effective number of bits (ENOB) at nyquist rate is 7.55 bit while using 1.55mW power from 1 V supply. A sub 1V reference circuit is proposed, that exploits the complementary to absolute temperature (CTAT) and proportional to absolute temperature (PTAT) voltages in the beta multiplier circuit to attain a stable voltage with temperature and power supply. A one-time calibration is integrated in the architecture to get a good performance over process. Chopper stabilization is employed to reduce the flicker noise of the reference circuit. The prototype was simulated in TSMC 65nm process and we obtain the nominal output of 236mW, while consuming 0.7mW from power supply. Simulations show a temperature coefficient of 18 ppmC from -40 to 100C and with a power supply ranging from 0.8 to 2V

High Performance RF and Basdband Analog-to-Digital Interface for Multi-standard/Wideband Applications

The prevalence of wireless standards and the introduction of dynamic standards/applications, such as software-defined radio, necessitate the next generation wireless devices that integrate multiple standards in a single chip-set to support a variety of services. To reduce the cost and area of such multi-standard handheld devices, reconfigurability is desirable, and the hardware should be shared/reused as much as possible. This research proposes several novel circuit topologies that can meet various specifications with minimum cost, which are suited for multi-standard applications. This doctoral study has two separate contributions: 1. The low noise amplifier (LNA) for the RF front-end; and 2. The analog-to-digital converter (ADC). The first part of this dissertation focuses on LNA noise reduction and linearization techniques where two novel LNAs are designed, taped out, and measured. The first LNA, implemented in TSMC (Taiwan Semiconductor Manufacturing Company) 0.35Cm CMOS (Complementary metal-oxide-semiconductor) process, strategically combined an inductor connected at the gate of the cascode transistor and the capacitive cross-coupling to reduce the noise and nonlinearity contributions of the cascode transistors. The proposed technique reduces LNA NF by 0.35 dB at 2.2 GHz and increases its IIP3 and voltage gain by 2.35 dBm and 2dB respectively, without a compromise on power consumption. The second LNA, implemented in UMC (United Microelectronics Corporation) 0.13Cm CMOS process, features a practical linearization technique for high-frequency wideband applications using an active nonlinear resistor, which obtains a robust linearity improvement over process and temperature variations. The proposed linearization method is experimentally demonstrated to improve the IIP3 by 3.5 to 9 dB over a 2.5–10 GHz frequency range. A comparison of measurement results with the prior published state-of-art Ultra-Wideband (UWB) LNAs shows that the proposed linearized UWB LNA achieves excellent linearity with much less power than previously published works. The second part of this dissertation developed a reconfigurable ADC for multistandard receiver and video processors. Typical ADCs are power optimized for only one operating speed, while a reconfigurable ADC can scale its power at different speeds, enabling minimal power consumption over a broad range of sampling rates. A novel ADC architecture is proposed for programming the sampling rate with constant biasing current and single clock. The ADC was designed and fabricated using UMC 90nm CMOS process and featured good power scalability and simplified system design. The programmable speed range covers all the video formats and most of the wireless communication standards, while achieving comparable Figure-of-Merit with customized ADCs at each performance node. Since bias current is kept constant, the reconfigurable ADC is more robust and reliable than the previous published works

Continuous-time low-pass filters for integrated wideband radio receivers

This thesis concentrates on the design and implementation of analog baseband continuous-time low-pass filters for integrated wideband radio receivers. A total of five experimental analog baseband low-pass filter circuits were designed and implemented as a part of five single-chip radio receivers in this work. After the motivation for the research work presented in this thesis has been introduced, an overview of analog baseband filters in radio receivers is given first. In addition, a review of the three receiver architectures and the three wireless applications that are adopted in the experimental work of this thesis is presented. The relationship between the integrator non-idealities and integrator Q-factor, as well as the effect of the integrator Q-factor on the filter frequency response, are thoroughly studied on the basis of a literature review. The theoretical study that is provided is essential for the gm-C filter synthesis with non-ideal lossy integrators that is presented after the introduction of different techniques to realize integrator-based continuous-time low-pass filters. The filter design approach proposed for gm-C filters is original work and one of the main points in this thesis, in addition to the experimental IC implementations. Two evolution versions of fourth-order 10-MHz opamp-RC low-pass filters designed and implemented for two multicarrier WCDMA base-station receivers in a 0.25-µm SiGe BiCMOS technology are presented, along with the experimental results of both the low-pass filters and the corresponding radio receivers. The circuit techniques that were used in the three gm-C filter implementations of this work are described and a common-mode induced even-order distortion in a pseudo-differential filter is analyzed. Two evolution versions of fifth-order 240-MHz gm-C low-pass filters that were designed and implemented for two single-chip WiMedia UWB direct-conversion receivers in a standard 0.13-µm and 65-nm CMOS technology, respectively, are presented, along with the experimental results of both the low-pass filters and the second receiver version. The second UWB filter design was also embedded with an ADC into the baseband of a 60-GHz 65-nm CMOS radio receiver. In addition, a third-order 1-GHz gm-C low-pass filter was designed, rather as a test structure, for the same receiver. The experimental results of the receiver and the third gm-C filter implementation are presented

Collective analog bioelectronic computation

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2009.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.Cataloged from student submitted PDF version of thesis.Includes bibliographical references (p. 677-710).In this thesis, I present two examples of fast-and-highly-parallel analog computation inspired by architectures in biology. The first example, an RF cochlea, maps the partial differential equations that describe fluid-membrane-hair-cell wave propagation in the biological cochlea to an equivalent inductor-capacitor-transistor integrated circuit. It allows ultra-broadband spectrum analysis of RF signals to be performed in a rapid low-power fashion, thus enabling applications for universal or software radio. The second example exploits detailed similarities between the equations that describe chemical-reaction dynamics and the equations that describe subthreshold current flow in transistors to create fast-and-highly-parallel integrated-circuit models of protein-protein and gene-protein networks inside a cell. Due to a natural mapping between the Poisson statistics of molecular flows in a chemical reaction and Poisson statistics of electronic current flow in a transistor, stochastic effects are automatically incorporated into the circuit architecture, allowing highly computationally intensive stochastic simulations of large-scale biochemical reaction networks to be performed rapidly. I show that the exponentially tapered transmission-line architecture of the mammalian cochlea performs constant-fractional-bandwidth spectrum analysis with O(N) expenditure of both analysis time and hardware, where N is the number of analyzed frequency bins. This is the best known performance of any spectrum-analysis architecture, including the constant-resolution Fast Fourier Transform (FFT), which scales as O(N logN), or a constant-fractional-bandwidth filterbank, which scales as O (N2).(cont.) The RF cochlea uses this bio-inspired architecture to perform real-time, on-chip spectrum analysis at radio frequencies. I demonstrate two cochlea chips, implemented in standard 0.13m CMOS technology, that decompose the RF spectrum from 600MHz to 8GHz into 50 log-spaced channels, consume < 300mW of power, and possess 70dB of dynamic range. The real-time spectrum analysis capabilities of my chips make them uniquely suitable for ultra-broadband universal or software radio receivers of the future. I show that the protein-protein and gene-protein chips that I have built are particularly suitable for simulation, parameter discovery and sensitivity analysis of interaction networks in cell biology, such as signaling, metabolic, and gene regulation pathways. Importantly, the chips carry out massively parallel computations, resulting in simulation times that are independent of model complexity, i.e., O(1). They also automatically model stochastic effects, which are of importance in many biological systems, but are numerically stiff and simulate slowly on digital computers. Currently, non-fundamental data-acquisition limitations show that my proof-of-concept chips simulate small-scale biochemical reaction networks at least 100 times faster than modern desktop machines. It should be possible to get 103 to 106 simulation speedups of genome-scale and organ-scale intracellular and extracellular biochemical reaction networks with improved versions of my chips. Such chips could be important both as analysis tools in systems biology and design tools in synthetic biology.by Soumyajit Mandal.Ph.D