Overview Definition(s) Frequency domain sampling: Properties and applications Time-limited signals The discrete Fourier transform (DFT) The DFT, IDFT - computational perspective Properties of the DFT, IDFT Multiplication of two DFTs and circular convolution Related DFT properties Linear filtering methods based on the DFT Filtering of long data sequences Frequency analysis of signals using the DFT Interpolation / upsampling revisited Summary DFT-based “real-time” filtering

The DFT The Discrete Fourier Transform (DFT) is the equivalent of the continuous Fourier Transform for signals known only at instants separated by sample times (i.e. a finite sequence of data). Let be the continuous signal which is the source of the data. Let samples be denoted . The Fourier Transform of the original signal, , would

Microcontrollers versus Microprocessors Memory unit Central Processing Unit Input-output unit Analog to Digital Converter Microcontroller PIC16F84 PIC16F84 Microcontroller Outline Clock / instruction cycle

Introduction to Assembly Language Programming Intel 8086 Microprocessor Assembly Language Programming Modular Programming and Applications to Engineering Problems.

Introduction to Assembly Language Programming Intel 8086 Microprocessor Assembly Language Programming Modular Programming and Applications to Engineering Problems. Instruction format Assembler directives, Instruction set- arithmetic, logical, string, branching, program control, machine control, input/output Introduction to 8086 Microprocessor programming

Introduction to Assembly Language Programming Intel 8086 Microprocessor Assembly Language Programming Modular Programming and Applications to Engineering Problems. MODULE ONE Programming Languages Language level of abstraction and effect on machine Characteristics of machine code Advantages and Justifications of machine code programming Microprocessor Fundamentals Programming in Assembly Language

Categories of Internetworks LAN ( Local Area Network) - Ethernet - Token ring - Token bus - FDDI • MAN ( Metropolitan Area Network) • WAN (Wide Area Network)

Programming of the 8051 Microcontroller-based C Program Pseudocoding with Program Design Language (PDL) PDL structures AT89C2051 Microcontroller based Systems LED BINARY COUNTING SYSTEM LED CHASING SYSTEM

Architecture of the 8051 Members of the MCS-51 and their features Basic Features of the 8051

Micro-Processor Micro-Controller Manufacturing Applications Transportation Applications Seat System/Module Smart Robotics Application Space Exploration Application Medical Applications Defense Applications Sanitation Applications Sports Applications Smart Home Applications Elements of digital computer design Micro-programming of the MicroP/micro C Interfacing the Micro C to analog system and peripherals System development boards Design, construction, programming and testing of microC-based sy...

Overview of operational Amplifier Basic symbol of the op-amps Inverting and Noninverting Configurations Ideal Characteristic of operational Amplifier Characteristic of operational Amplifier Application of operational Amplifier

Summing Amplifier Differential Amplifier Instrumentation Amplifier Bridge Amplifier

Operational Amplifier as an IC op-amps Basic symbol and terminals Operational Amplifier Configurations Ideal Characteristic of operational Amplifier Characteristic of operational Amplifier AC Characteristics of op-amp Application of operational Amplifier

History of Software Engineering An Introduction to SW Engineering What is software? What is software Engineering? What is the difference between software engineering and computer science? What is the difference between software engineering and system engineering? What is a software process? What is a software process model? What are the costs of software engineering? What are the key challenges facing software engineering? Software Evolution Software Evolution Laws E-Type software evolution...

Complex Number Addition of Complex Numbers Multiplication of Complex Numbers Subtraction of Complex Numbers Division of Complex Numbers Complex Plane Arithmetical Operation of Complex Numbers Complex Function Limit and Continuity Analyticity Cauchy-Riemann Equation Harmonic Functions Complex Integration Residues Conformal Mapping Partial Differential Equation One-Dimensional Wave Equation-Vibrating String Line and Multiple Integral Applications of Double Integrals Interpolation Linear Inter...