High bandwidth low power operational amplifier design and compensation techniques

The need for high bandwidth operational amplifiers (op amp) exists for numerous applications. This need requires research in the area of Op Amp bandwidth extension. The exploited method in this thesis uses a class of compensation called Indirect Feedback Frequency Compensation in which the compensation current is fed back indirectly from the output to an internal high impedance node, to extend the bandwidth of an Op Amp. Among various compensation methods for operational amplifiers, indirect compensation offers potentially large benefits in regards to power to speed trade-off. The indirect compensated Op Amps can exhibit significant improvements in speed over traditional Miller compensated Op Amps and result in much smaller layout size and lower power consumption. However the technique has not been widely used in practice due to a lack of clear design procedure. This thesis develops an analytical description of how indirect compensation works and derives key trade off equations among various specifications. These results provide the insight needed for practically designing operational amplifiers with this technique. Based on the results, a step-by-step design procedure is proposed for an operational amplifier using indirect compensation. To demonstrate the proposed design procedure, a two stage Op Amp is designed. The Op Amp achieved a 2 MHz gain-bandwidth product (GBW) driving a large capacitive load (100 pF). The GBW of the Op Amp was improved by a factor of 10 times compared to the miller compensation scheme. The amplifier documented in this thesis achieved a higher simulated figures-of-merit (FoMs) compared to the state-of-art and can be directly used in integrated systems to achieve higher performance

Transmit Antenna Selection for Physical-Layer Network Coding Based on Euclidean Distance

Physical-layer network coding (PNC) is now well-known as a potential candidate for delay-sensitive and spectrally efficient communication applications, especially in two-way relay channels (TWRCs). In this paper, we present the error performance analysis of a multiple-input single-output (MISO) fixed network coding (FNC) system with two different transmit antenna selection (TAS) schemes. For the first scheme, where the antenna selection is performed based on the strongest channel, we derive a tight closed-form upper bound on the average symbol error rate (SER) with $M$-ary modulation and show that the system achieves a diversity order of 1 for $M > 2$. Next, we propose a Euclidean distance (ED) based antenna selection scheme which outperforms the first scheme in terms of error performance and is shown to achieve a diversity order lower bounded by the minimum of the number of antennas at the two users.Comment: 15 pages, 4 figures, Globecom 2017 (Wireless Communications Symposium

Performance Analysis of NOMA-based Cooperative Relaying in {\alpha} - {\mu} Fading Channels

Non-orthogonal multiple access (NOMA) is widely recognized as a potential multiple access technology for efficient radio spectrum utilization in the fifth-generation (5G) wireless communications standard. In this paper, we study the average achievable rate and outage probability of a cooperative relaying system (CRS) based on NOMA (CRS-NOMA) over wireless links governed by the $\alpha$-$\mu$ generalized fading model; here $\alpha$ and $\mu$ designate the nonlinearity and clustering parameters, respectively, of each link. The average achievable rate is represented in closed-form using Meijer's G-function and the extended generalized bivariate Fox's H-function (EGBFHF), and the outage probability is represented using the lower incomplete Gamma function. Our results confirm that the CRS-NOMA outperforms the CRS with conventional orthogonal multiple access (CRS-OMA) in terms of spectral efficiency at high transmit signal-to-noise ratio (SNR). It is also evident from our results that with an increase in the value of the nonlinearity/clustering parameter, the SNR at which the CRS-NOMA outperforms its OMA based counterpart becomes higher. Furthermore, the asymptotic analysis of the outage probability reveals the dependency of the diversity order of each symbol in the CRS-NOMA system on the $\alpha$ and $\mu$ parameters of the fading links.Comment: 16 pages, 7 figures, 1 table, accepted in IEEE International Conference on Communications (ICC) - 2019, Shangha

kTk_T-factorization approach to the Higgs boson production in ZZ∗→4ℓZZ^*\to 4\ell channel at the LHC

We calculated a differential cross section of the Higgs boson production in the $h\to ZZ^*\to 4\ell$ decay channel within the framework of $k_T$-factorization. Results are obtained using an off-shell matrix element for the $g^*g^*\to h\to ZZ^*\to 4\ell$ process together with Ciafaloni-Catani-Fiorani-Marchesini (CCFM) evolution equations for an unintegrated gluon distribution function. We have presented a comparison of our results with the latest experimental measurements at $\sqrt{S}$ = 8 TeV and $\sqrt{S}$ = 13 TeV from the ATLAS and CMS collaborations at the LHC. In addition to this, we have compared our results with the results from the collinear factorization formalism calculated up to next-to-next-to-leading order plus next-to-next-to-leading logarithm (NNLO + NNLL) accuracy obtained using the HRes code for the Higgs boson production in the gluon-gluon fusion process. Our estimates are consistently close to NNLO + NNLL results obtained using a collinear factorization formalism and are also in agreement with experimental measurements.Comment: 10 pages, 5 figures updated using TMDli