Transient Analysis
We are still using DC power supplies. But we switch them on or off and study the transients. AC power supplies is discussed in AC analysis Switches and Operations Charging Capacitors with Current Source Capacitors in Parallel and in Ser
ELEC101
DCcircuits66
2010/11Spring
Equivalence
Two resistive one-port networks are equivalent if they have the same currentvoltage (I-V) curve across the two terminals for ALL loads (or sources). I1 Network A V1 Network B I2 V2
Example
load R
Example load
ELEC101
DCcircuits36
2010/11Spring
I
Power Transfer
source resistance RS source voltage VS
RS for maximum current flow into load, RL = 0, VS IL = VS/RS
IL = VS/RS
IL
+ load RL
RL = 0
VL
KVL:Vs =ILRs +VL (loadline)
IL
RL = 0
Question:Givenafixedvoltagesour
ELEC101
DCcircuits1
2010/11Spring
DC Circuits
1 A Basic Definitions Circuit diagram
is a graphical representation of a circuit (closed connection of elements).
Analog circuit example
Digital circuit example
ELEC101
DCcircuits2
2010/11Spring
Typesofcircuit
ELEC101
Logiccircuits1
2010/11Spring
Binary Number and Digital Logic (Chap 13.1-13.5)
Binary Numbers: Decimal Number and Binary Number Convert Binary Number to Decimal Number Convert Decimal Number to Binary Number Convert Decimal Fraction to Binary Fract
ELEC101
BasicElements34
2010/11Spring
11. Ohm's Law and Resistors
When voltage is applied across a piece of material, for example, by a battery, current will flow. For many materials, the amount of current is proportional to the voltage, and the relation
ELEC101
BasicElements1
2010/11Spring
1
Fundamentals
SI unit Systeme international dunites = metric units or MKS units (as opposed to CGS units)
ELEC101
BasicElements2
2010/11Spring
Derivedquantities conversionandequivalenceofunits
Allderivedunitscanbeexp
ELEC 212: Digital Signal Processing
Chapter 2: Discrete-Time Signals and Systems
2.1 Basic Discrete-Time Signals and Operations 2.2 Discrete-Time Systems 2.3 LTI Systems 2.4 Properties of LTI Systems 2.5 Difference Equations 2.7 Discrete-Time Fourier Tr
Fourier Analysis of Signals using the DFT
ELEC 212 Chapter 10 Fourier Analysis of Signals Using the DFT
Major application: analyzing the frequency content of continuous-time signals Windowing is necessary since the input to the DFT must be finite duration
Efficient Computation of DFT
ELEC 212 Chapter 9 Computation of the Discrete Fourier Transform
1
The Hong Kong University of Science and Technology
Department of Electronic and Computer Engineering
09-10 Fall ELEC 212
Computing the DFT
2
Efficient Computat
Discrete Fourier Transform (DFT)
Recall what we have learnt in Chapter 02,
ELEC 212 Chapter 8 Discrete Fourier Transform
1
The Hong Kong University of Science and Technology
Department of Electronic and Computer Engineering
09-10 Fall ELEC 212
Discrete Fo
FIR Filter Design
FIR filters almost entirely restricted to discrete-time implementations (unlike IIR implementations) Design techniques for FIR filters are based on directly approximating the desired frequency response of the DT system Compared to IIR fi
Introduction
ELEC 212 Chapter 7 IIR Filter Design Techniques
The design of filters involves the following stages:
The specification of the desired properties of the system The approximation of the specifications using a causal discrete-time system The re
Introduction
ELEC 212 Chapter 6 Structures for Discrete-Time Systems
An LTI system with a rational system function has the property that the input and output sequences satisfy a linear constant-coefficient difference equation (LCCDE). This lecture conside
The Frequency Response of LTI Systems
ELEC 212 Chapter 5: Transform Analysis of Linear Time-Invariant Systems
Prof. Matthew R. McKay
For an LTI system, the DTFT of the system input and output are related by
Can also express in polar form
is referred to
Changing Sampling Rate using Discrete-Time Processing
ELEC 212 Chapter 4: Sampling of Continuous-Time Signals (Part II)
Prof. Matthew R. McKay
Discrete-time signal x[n] is obtained by extracting the information from a continuous-time signal xc(t) every T
Typical DSP System
ELEC 212 Chapter 4: Sampling of Continuous-Time Signals (Part I)
Prof. Matthew R. McKay
1
The Hong Kong University of Science and Technology
Department of Electronic and Computer Engineering
09-10 Fall ELEC 212
Sampling of CT Signals
2
3.1 z-Transform
The z-transform X(z) of a sequence x[n] is defined as
X ( z ) = Z cfw_x[n] =
n =
ELEC 212 Chapter 3: Z-Transform
x[n]z
n
where z is a continuous complex variable. Moreover generally, we can express the complex variable z in polar form
Discrete-time signal and Linear System Theory How much do you remember?
ELEC 212 Chapter 2: Discrete-Time Signals and Systems
Prof. Matthew R. McKay
09-10 Fall ELEC 212
Discrete-Time Signals and Systems
2
Discrete-Time Signals and Systems Representations
Hong Kong University of Science & Technology
Todays Lecture
General Course Information Introduction to Discrete-Time Signals and Systems
ELEC 212 Digital Signal Processing
Fall 2009
Prof. Matthew R. McKay
Office: Room 2446 E-mail: eemckay@ust.hk
Availab