Deterministic analog circuit placement using hierarchically bounded enumeration and enhanced shape functions

Abstract — The analog placement algorithm Plantage, presented in this paper, generates placements for analog circuits with comprehensive placement constraints. Plantage is based on a hierarchically bounded enumeration of basic building blocks, using B*-trees. The practically relevant solution space is thereby enumerated quasi-complete. The sets of possible placements of the basic building blocks are represented and combined in a new efficient way, using enhanced shape functions. The result of Plantage is the Pareto front of placements with respect to different aspect ratios. The whole approach is deterministic, in contrast to existing analog placement algorithms. I

Placement techniques in automatic analog layout generation.

模擬電路版圖設計是一個非常複雜和耗時的過程。通常情況下，設計一個高質量的模擬電路版圖需要電子工程師花費幾週甚至更長的時間。模擬電路的電子特性對於電路的細節設計非常敏感，因此，減小電路中的失配現象成為模擬電路版圖設計中一個非常重要的課題。在本論文中，我們提出了一系列實際的佈局技術，來降低電路的失配並提高繞線的成功率。我們可以非常容易的將這些技術整合至一個完整的模擬佈局和佈線的工具中，此工具可以在幾分鐘內生成一個完整的、高質量的模擬電路版圖。同時，該版圖能夠通過設計規則驗證（DRC）和佈局與電路設計一致性檢測（LVS）。模擬結果顯示，它的電路性能能夠與達到甚至超出手工設計的電路版圖。我們的論文主要作出了以下兩方面貢獻。1. 平衡佈局：對於模擬電路中的電子元器件，如電容、電阻、晶體管等進行一維和二維的平衡佈局。電子工程師可以根據不同的設計需求，通過選擇不同的佈局參數來改變電路的佈局排列方式。同時，在模擬退火算法中，我們著重考慮了器件間的匹配以生成高質量的模擬電路佈局。2. 消除阻塞的電路佈局：在模擬電路設計中，我們期望盡量避免在電子元器件密度較高的區域進行繞線。因此，我們需要在電路佈局設計過程中在電子元器件間留有足夠的佈線空間。為達到這個目標，我們提出了更精確的阻塞估計方法和版圖拓展方法，使其能夠生成一個高質量、高繞線成功率的電路佈局結果。為了驗證生成的電路版圖的質量和匹配特性，我們利用蒙地卡羅方法來模擬電路中的製程偏差和失配特性。實驗結果顯示，我們的工具可以在幾分鐘內自動生成高質量的電路版圖，與人工設計通常需要花費數日至數週相比，設計時間大幅縮短，同時電路的匹配特性得以提升。Analog layout design is a complicated and time-consuming process. It often takes couples of weeks for the layout designers to generate a qualied layout. The elec-trical properties of analog circuit are very sensitive to the layout details, and mis-match reduction becomes a very important issue in analog layout design.In this thesis, we will present some practical placement techniques to reduce mismatch and improve routability. These techniques can be easily integrated into a complete analog placement and routing ow, which can produce in just a few min-utes a complete and high quality layout for analog circuits that passes the design rule check, layout-schematic check and with performance veried by simulations. The contents of this thesis will focus on the following two issues:(1) Symmetry Placement: We consider symmetric placement of transistors, re-sistors and capacitors, which includes 1-D symmetry and 2-D symmetry (or called common centroid). Different symmetric placement congurations, derived accord-ing to the practical needs in analog design, are considered for the matching devices in the simulated annealing engine of the placer in order to generate a placement with high quality.(2) Congestion-driven Placement: In analog design, wires are preferred not be routed over active devices, so we need to leave enough spaces properly for routing between the devices during the placement process. To achieve this, we explore congestion estimation and layout expansion during the placement step in order to produce a good and routable solution.In order to verify the quality of the generated layouts in terms of mismatch, we will run Monte Carlo simulations on them with variations in process and mismatch. Experiments show that our methodology can generate high quality layout automatically in just a few minutes while manual design may take couples of days.Detailed summary in vernacular field only.Detailed summary in vernacular field only.Detailed summary in vernacular field only.Detailed summary in vernacular field only.Detailed summary in vernacular field only.Cui, Guxin.Thesis (M.Phil.)--Chinese University of Hong Kong, 2012.Abstracts also in Chinese.Abstract --- p.iAcknowledgement --- p.ivChapter 1 --- Introduction --- p.1Chapter 1.1 --- Background --- p.1Chapter 1.2 --- Physical Design --- p.2Chapter 1.3 --- Analog Placement --- p.4Chapter 1.3.1 --- Methodologies of Analog Placement --- p.4Chapter 1.3.2 --- Symmetry Constraints of Analog Placement --- p.5Chapter 1.4 --- Process Variation and Layout Mismatch --- p.6Chapter 1.4.1 --- Process Variation --- p.6Chapter 1.4.2 --- Random Mismatch and Systematic Mismatch --- p.7Chapter 1.5 --- Monte Carlo Simulation Procedure --- p.9Chapter 1.6 --- Problem Formulation of Placement --- p.9Chapter 1.7 --- Motivations --- p.10Chapter 1.8 --- Contributions --- p.11Chapter 1.9 --- Thesis Organization --- p.12Chapter 2 --- Literature Review on Analog Placement --- p.13Chapter 2.1 --- Topological Representations Handling Symmetry Constraints --- p.14Chapter 2.1.1 --- Symmetry within the Sequence-Pair (SP) Representation . --- p.14Chapter 2.1.2 --- Block Placement with Symmetry Constraints Based on the O-Tree Non-Slicing Representation --- p.16Chapter 2.1.3 --- Placement with Symmetry Constraints for Analog Layout Design Using TCG-S --- p.17Chapter 2.1.4 --- Modeling Non-Slicing Floorplans with Binary Trees --- p.19Chapter 2.1.5 --- Segment Trees Handle Symmetry Constraints --- p.20Chapter 2.1.6 --- Center-based Corner Block List --- p.22Chapter 2.2 --- Other Works on Analog Placement Constraints --- p.25Chapter 2.2.1 --- Deterministic Analog Placement with Hierarchically Bounded Enumeration and Enhanced Shape Functions --- p.25Chapter 2.2.2 --- Analog Placement Based on Symmetry-Island Formulation --- p.27Chapter 2.2.3 --- Heterogeneous B*-Trees for Analog Placement with Symmetry and Regularity Considerations --- p.28Chapter 2.3 --- Summary --- p.31Chapter 3 --- Common-Centroid Analog Placement --- p.32Chapter 3.1 --- Problem Formulation --- p.33Chapter 3.2 --- Overview of Our Work --- p.35Chapter 3.3 --- Handling Common Centroid Constraints in Different Devices --- p.37Chapter 3.3.1 --- Common Centroid Placement of Resistors --- p.38Chapter 3.3.2 --- Common Centroid Placement of Transistors --- p.44Chapter 3.3.3 --- Common Centroid Placement of Capacitors --- p.47Chapter 3.4 --- Congestion Estimation and Layout Expansion --- p.50Chapter 3.4.1 --- Blockage-Aware Congestion Estimation --- p.51Chapter 3.4.2 --- Layout Expansion --- p.56Chapter 3.5 --- Simulated Annealing --- p.59Chapter 3.5.1 --- Types of Moves --- p.59Chapter 3.5.2 --- Handling Devices in Symmetry Group --- p.59Chapter 3.5.3 --- Cost Function of Simulated Annealing --- p.61Chapter 3.6 --- Summary --- p.62Chapter 4 --- Experimental Results and Monte-Carlo Simulations --- p.64Chapter 4.1 --- Study of Congestion-driven Layout Expansion --- p.64Chapter 4.2 --- Monte Carlo Simulations --- p.70Chapter 4.2.1 --- Devices Modeling --- p.70Chapter 4.2.2 --- Study of Layouts with and without Symmetry Groups --- p.71Chapter 4.2.3 --- Study of Layouts with and without Self-Symmetry Devices --- p.73Chapter 4.2.4 --- Study of Layouts with Different Number of Symmetry Groups --- p.74Chapter 4.2.5 --- Study of Large and Small Size Capacitors Array --- p.76Chapter 4.3 --- Comparison of Automatic and Manual Layouts using Monte Carlo Simulations --- p.79Chapter 5 --- Conclusion --- p.86Bibliography --- p.8

A Tool for the Automatic Generation and Analysis of Regular Analog Layout Modules

This paper describes the characteristics of a new CAD tool that enables the creation of layout libraries of selected analog modules. This Analog Modules Generator (AMG) automatically creates multiple layout versions of two commonly used analog structures: the differential pair and arrays of series-connected or stacked devices, for the subsequent generation of layout libraries. Based on the number of devices and rows defined by the user for the layout implementation, the tool validates all possible implementations, which are later saved in a database with their corresponding characteristics, such as area and parasitics information. Additionally, an extraction process can be optionally executed over all the layout views saved in the database. The AMG generates several reports with all the characteristics of the implemented layouts, including area and parasitic components, facilitating further statistical processing. We describe the features and capabilities of the proposed AMG tool, and several test cases are presented. Results show that optimal layout implementations can be achieved by layout and circuit designers in a reduced amount of time

A framework for fine-grain synthesis optimization of operational amplifiers

This thesis presents a cell-level framework for Operational Amplifiers Synthesis (OASYN) coupling both circuit design and layout. For circuit design, the tool applies a corner-driven optimization, accounting for on-chip performance variations. By exploring the process, voltage, and temperature variations space, the tool extracts design worst case solution. The tool undergoes sensitivity analysis along with Pareto-optimality to achieve required specifications. For layout phase, OASYN generates a DRC proved automated layout based on a sized circuit-level description. Morata et al. (1996) introduced an elegant representation of block placement called sequence pair for general floorplans (SP). Like TCG and BSG, but unlike O-tree, B*tree, and CBL, SP is P-admissible. Unlike SP, TCG supports incremental update during operation and keeps the information of the boundary modules as well as their relative positions in the representation. Block placement algorithms that are based on SP use heuristic optimization algorithms, e.g., simulated annealing where generation of large number of sequence pairs are required. Therefore a fast algorithm is needed to generate sequence pairs after each solution perturbation. The thesis presents a new simple and efficient O(n) runtime algorithm for fast realization of incremental update for cost evaluation. The algorithm integrates sequence pair and transitive closure graph advantages into TCG-S* a superior topology update scheme which facilitates the search for optimum desired floorplan. Experiments show that TCG-S* is better than existing works in terms of area utilization and convergence speed. Routing-aware placement is implemented in OASYN, handling symmetry constraints, e.g., interdigitization, common centroid, along with congestion elimination and the enhancement of placement routability

Practical Techniques for Improving Performance and Evaluating Security on Circuit Designs

As the modern semiconductor technology approaches to nanometer era, integrated circuits (ICs) are facing more and more challenges in meeting performance demand and security. With the expansion of markets in mobile and consumer electronics, the increasing demands require much faster delivery of reliable and secure IC products. In order to improve the performance and evaluate the security of emerging circuits, we present three practical techniques on approximate computing, split manufacturing and analog layout automation. Approximate computing is a promising approach for low-power IC design. Although a few accuracy-configurable adder (ACA) designs have been developed in the past, these designs tend to incur large area overheads as they rely on either redundant computing or complicated carry prediction. We investigate a simple ACA design that contains no redundancy or error detection/correction circuitry and uses very simple carry prediction. The simulation results show that our design dominates the latest previous work on accuracy-delay-power tradeoff while using 39% less area. One variant of this design provides finer-grained and larger tunability than that of the previous works. Moreover, we propose a delay-adaptive self-configuration technique to further improve the accuracy-delay-power tradeoff. Split manufacturing prevents attacks from an untrusted foundry. The untrusted foundry has front-end-of-line (FEOL) layout and the original circuit netlist and attempts to identify critical components on the layout for Trojan insertion. Although defense methods for this scenario have been developed, the corresponding attack technique is not well explored. Hence, the defense methods are mostly evaluated with the k-security metric without actual attacks. We develop a new attack technique based on structural pattern matching. Experimental comparison with existing attack shows that the new attack technique achieves about the same success rate with much faster speed for cases without the k-security defense, and has a much better success rate at the same runtime for cases with the k-security defense. The results offer an alternative and practical interpretation for k-security in split manufacturing. Analog layout automation is still far behind its digital counterpart. We develop the layout automation framework for analog/mixed-signal ICs. A hierarchical layout synthesis flow which works in bottom-up manner is presented. To ensure the qualified layouts for better circuit performance, we use the constraint-driven placement and routing methodology which employs the expert knowledge via design constraints. The constraint-driven placement uses simulated annealing process to find the optimal solution. The packing represented by sequence pairs and constraint graphs can simultaneously handle different kinds of placement constraints. The constraint-driven routing consists of two stages, integer linear programming (ILP) based global routing and sequential detailed routing. The experiment results demonstrate that our flow can handle complicated hierarchical designs with multiple design constraints. Furthermore, the placement performance can be further improved by using mixed-size block placement which works on large blocks in priority

Space station automation of common module power management and distribution

The purpose is to automate a breadboard level Power Management and Distribution (PMAD) system which possesses many functional characteristics of a specified Space Station power system. The automation system was built upon 20 kHz ac source with redundancy of the power buses. There are two power distribution control units which furnish power to six load centers which in turn enable load circuits based upon a system generated schedule. The progress in building this specified autonomous system is described. Automation of Space Station Module PMAD was accomplished by segmenting the complete task in the following four independent tasks: (1) develop a detailed approach for PMAD automation; (2) define the software and hardware elements of automation; (3) develop the automation system for the PMAD breadboard; and (4) select an appropriate host processing environment

Measurements, Models, Systems and Design

531 s.

Layoutautomatisierung im analogen IC-Entwurf mit formalisiertem und nicht-formalisiertem Expertenwissen

After more than three decades of electronic design automation, most layouts for analog integrated circuits are still handcrafted in a laborious manual fashion today. Obverse to the highly automated synthesis tools in the digital domain (coping with the quantitative difficulty of packing more and more components onto a single chip – a desire well known as More Moore), analog layout automation struggles with the many diverse and heavily correlated functional requirements that turn the analog design problem into a More than Moore challenge. Facing this qualitative complexity, seasoned layout engineers rely on their comprehensive expert knowledge to consider all design constraints that uncompromisingly need to be satisfied. This usually involves both formally specified and nonformally communicated pieces of expert knowledge, which entails an explicit and implicit consideration of design constraints, respectively. Existing automation approaches can be basically divided into optimization algorithms (where constraint consideration occurs explicitly) and procedural generators (where constraints can only be taken into account implicitly). As investigated in this thesis, these two automation strategies follow two fundamentally different paradigms denoted as top-down automation and bottom-up automation. The major trait of top-down automation is that it requires a thorough formalization of the problem to enable a self-intelligent solution finding, whereas a bottom-up automatism –controlled by parameters– merely reproduces solutions that have been preconceived by a layout expert in advance. Since the strengths of one paradigm may compensate the weaknesses of the other, it is assumed that a combination of both paradigms –called bottom-up meets top-down– has much more potential to tackle the analog design problem in its entirety than either optimization-based or generator-based approaches alone. Against this background, the thesis at hand presents Self-organized Wiring and Arrangement of Responsive Modules (SWARM), an interdisciplinary methodology addressing the design problem with a decentralized multi-agent system. Its basic principle, similar to the roundup of a sheep herd, is to let responsive mobile layout modules (implemented as context-aware procedural generators) interact with each other inside a user-defined layout zone. Each module is allowed to autonomously move, rotate and deform itself, while a supervising control organ successively tightens the layout zone to steer the interaction towards increasingly compact (and constraint compliant) layout arrangements. Considering various principles of self-organization and incorporating ideas from existing decentralized systems, SWARM is able to evoke the phenomenon of emergence: although each module only has a limited viewpoint and selfishly pursues its personal objectives, remarkable overall solutions can emerge on the global scale. Several examples exhibit this emergent behavior in SWARM, and it is particularly interesting that even optimal solutions can arise from the module interaction. Further examples demonstrate SWARM’s suitability for floorplanning purposes and its application to practical place-and-route problems. The latter illustrates how the interacting modules take care of their respective design requirements implicitly (i.e., bottom-up) while simultaneously paying respect to high level constraints (such as the layout outline imposed top-down by the supervising control organ). Experimental results show that SWARM can outperform optimization algorithms and procedural generators both in terms of layout quality and design productivity. From an academic point of view, SWARM’s grand achievement is to tap fertile virgin soil for future works on novel bottom-up meets top-down automatisms. These may one day be the key to close the automation gap in analog layout design.Nach mehr als drei Jahrzehnten Entwurfsautomatisierung werden die meisten Layouts für analoge integrierte Schaltkreise heute immer noch in aufwändiger Handarbeit entworfen. Gegenüber den hochautomatisierten Synthesewerkzeugen im Digitalbereich (die sich mit dem quantitativen Problem auseinandersetzen, mehr und mehr Komponenten auf einem einzelnen Chip unterzubringen – bestens bekannt als More Moore) kämpft die analoge Layoutautomatisierung mit den vielen verschiedenen und stark korrelierten funktionalen Anforderungen, die das analoge Entwurfsproblem zu einer More than Moore Herausforderung machen. Angesichts dieser qualitativen Komplexität bedarf es des umfassenden Expertenwissens erfahrener Layouter um sämtliche Entwurfsconstraints, die zwingend eingehalten werden müssen, zu berücksichtigen. Meist beinhaltet dies formal spezifiziertes als auch nicht-formal übermitteltes Expertenwissen, was eine explizite bzw. implizite Constraint Berücksichtigung nach sich zieht. Existierende Automatisierungsansätze können grundsätzlich unterteilt werden in Optimierungsalgorithmen (wo die Constraint Berücksichtigung explizit erfolgt) und prozedurale Generatoren (die Constraints nur implizit berücksichtigen können). Wie in dieser Arbeit eruiert wird, folgen diese beiden Automatisierungsstrategien zwei grundlegend unterschiedlichen Paradigmen, bezeichnet als top-down Automatisierung und bottom-up Automatisierung. Wesentliches Merkmal der top-down Automatisierung ist die Notwendigkeit einer umfassenden Problemformalisierung um eine eigenintelligente Lösungsfindung zu ermöglichen, während ein bottom-up Automatismus –parametergesteuert– lediglich Lösungen reproduziert, die vorab von einem Layoutexperten vorgedacht wurden. Da die Stärken des einen Paradigmas die Schwächen des anderen ausgleichen können, ist anzunehmen, dass eine Kombination beider Paradigmen –genannt bottom-up meets top down– weitaus mehr Potenzial hat, das analoge Entwurfsproblem in seiner Gesamtheit zu lösen als optimierungsbasierte oder generatorbasierte Ansätze für sich allein. Vor diesem Hintergrund stellt die vorliegende Arbeit Self-organized Wiring and Arrangement of Responsive Modules (SWARM) vor, eine interdisziplinäre Methodik, die das Entwurfsproblem mit einem dezentralisierten Multi-Agenten-System angeht. Das Grundprinzip besteht darin, ähnlich dem Zusammentreiben einer Schafherde, reaktionsfähige mobile Layoutmodule (realisiert als kontextbewusste prozedurale Generatoren) in einer benutzerdefinierten Layoutzone interagieren zu lassen. Jedes Modul darf sich selbständig bewegen, drehen und verformen, wobei ein übergeordnetes Kontrollorgan die Zone schrittweise verkleinert, um die Interaktion auf zunehmend kompakte (und constraintkonforme) Layoutanordnungen hinzulenken. Durch die Berücksichtigung diverser Selbstorganisationsgrundsätze und die Einarbeitung von Ideen bestehender dezentralisierter Systeme ist SWARM in der Lage, das Phänomen der Emergenz hervorzurufen: obwohl jedes Modul nur eine begrenzte Sichtweise hat und egoistisch seine eigenen Ziele verfolgt, können sich auf globaler Ebene bemerkenswerte Gesamtlösungen herausbilden. Mehrere Beispiele veranschaulichen dieses emergente Verhalten in SWARM, wobei besonders interessant ist, dass sogar optimale Lösungen aus der Modulinteraktion entstehen können. Weitere Beispiele demonstrieren SWARMs Eignung zwecks Floorplanning sowie die Anwendung auf praktische Place-and-Route Probleme. Letzteres verdeutlicht, wie die interagierenden Module ihre jeweiligen Entwurfsanforderungen implizit (also: bottom-up) beachten, während sie gleichzeitig High-Level-Constraints berücksichtigen (z.B. die Layoutkontur, die top-down vom übergeordneten Kontrollorgan auferlegt wird). Experimentelle Ergebnisse zeigen, dass Optimierungsalgorithmen und prozedurale Generatoren von SWARM sowohl bezüglich Layoutqualität als auch Entwurfsproduktivität übertroffen werden können. Aus akademischer Sicht besteht SWARMs große Errungenschaft in der Erschließung fruchtbaren Neulands für zukünftige Arbeiten an neuartigen bottom-up meets top-down Automatismen. Diese könnten eines Tages der Schlüssel sein, um die Automatisierungslücke im analogen Layoutentwurf zu schließen