§2.1 Discrete-Time Signals: Time-Domain Representation §2.2 Operations on Sequences §2.3 Basic Sequences §2.4 The Sampling Process §2.5 Discrete-Time Systems §2.6 Time-Domain Characterization of LTI Discrete-Time System §2.7 Classification of LTI Discrete-Time Systems §2.8 Correlation of Signals

1 Introduction 2 Deterministic Dynamic Programming and Viscosity Solutions 3 Stochastic Control 3.1 Some Probability Theory 3.2 Controlled State Space Models 3.3 Filtering 3.4 Dynamic Programming - Case I : Complete State Information 3.5 Dynamic Programming - Case II : Partial State Information 3.6 Two Continuous Time Problems 4 Robust Control 4.1 Introduction and Background 4.2 The Standard Problem of H∞ Control 4.3 The Solution for Linear Systems 4.4 Risk-Sensitive Stochastic Control and Robustness 5 Optimal Feedback Control of Quantum Systems 5.1 Preliminaries 5.2 The Feedback Control Problem 5.3 Conditional Dynamics 5.4 Optimal Control 5.5 Appendix: Formulas for the Two-State System with Feedback Example 6 Optimal Risk-Sensitive Feedback Control of Quantum Systems 6.1 System Model 6.2 Risk-Neutral Optimal Control 6.3 Risk-Sensitive Optimal Control 6.4 Control of a Two Level Atom 6.5 Control of a Trapped Atom

1 Introduction 2 Deterministic Dynamic Programming and Viscosity Solutions 2.1 Introduction 2.2 Value Functions are Viscosity Solutions 2.3 Comparison and Uniqueness 3 Stochastic Control 3.1 Some Probability Theory 3.2 Controlled State Space Models 3.3 Filtering 3.4 Dynamic Programming - Case I : Complete State Information 3.5 Dynamic Programming - Case II : Partial State Information 3.6 Two Continuous Time Problems 4 Robust Control 4.1 Introduction and Background 4.2 The Standard Problem of H∞ Control 4.3 The Solution for Linear Systems 4.4 Risk-Sensitive Stochastic Control and Robustness 5 Optimal Feedback Control of Quantum Systems 5.1 Preliminaries 5.2 The Feedback Control Problem 5.3 Conditional Dynamics 5.4 Optimal Control 5.5 Appendix: Formulas for the Two-State System with Feedback Example 6 Optimal Risk-Sensitive Feedback Control of Quantum Systems 6.1 System Model

3.1 Introduction 3.2 Typical test signals for time response of control systems 3.3 First –Order Systems 3.4 Performance of a Second-Order System 3.5 Concept of Stability 3.6 The Relative Stability of Feedback Control Systems

◼ Introduction ◼ Discrete-time signals ◼ Discrete-time systems ◼ Time-domain characterization of LTI discrete-time systems ◼ Digitalization of Analog Digital

TWo Levels of Planning ystems Planning Gives managers, Users, and Information Systems Personnel Projects Establishes what should be done Sets a budget for the total cost of these projects o Systems Project planning Setting a plan for the development of each specific systems project

Introduction (chapter objectives) Bit error rate for binary systems (unipolar, polar, bipolar, ooK, BPsK, FsK, and MSK Output signal-to-noise ratio for analog systemS(AM, SSB, PM, and Fm)

IEEE TRANSACTIONS ON COMMUNICATIONS. VOL 50. NO. 1 JANUARY 2002 LDPC-Based Space-Time Coded OFDM Systems Over Correlated Fading Channels: Performance Analysis and Receiver design Ben Lu, Student Member, IEEE, Xiaodong Wang, Member, IEEE, and Krishna R Narayanan, Member: IEEE AbstrackWe consider a space-time coded (STC) orthogonal systems integrate the techniques of antenna array spatial diver-

Question: Are there sets of basic\ signals so that a) We can represent rich classes of signals as linear combinations of these building block signals b) The response of ltI Systems to these basic signals are both simp and insightful Fact: For LtI Systems(CT or dt) there are two natural choices for these building blocks Focus for now:

RESERVATION SYSTEMS Single channel shared by multiple users Only one user can use the channel at a time Need to coordinate transmissions between users Polling systems Polling station polls the users in order Polling to see if they have something to send station A scheduler ca