PPT-Lecture 20: EE 221: Signals Analysis and Systems

Instructor Dr Ghazi Al Sukkar Dept of Electrical Engineering The University of Jordan Email ghazialsukkarjuedujo Applications of Fourier Transform Amplitude Modulation Multiplexing FDM. Specifically we discuss both continuous time and discretetime sinusoidal signals as well as real and complex expo nentials Sinusoidal signals for both continuous time and discrete time will be come important building blocks for more general signals e LSI Linear shift invariant systems We shall define the term Impulse response in context to LSI systems We shall learn Convolution an operation which helps us find the output of the LTI system given the impulse response and the input signal NOTE I Unit impulse function Unit step function Their relation in both continuous and discrete domain We shall even look at the Sifting property of the unit impulse function Basic Signals in detail We now introduce formally some of the basic signals namely They are also referred to as Linear TimeInvariant systems in case the independent variable for the input and output signals is time Remember that linearity means that is t and t are responses of the system to signals t and t respectively then the re brPage 1br EEE3086F Signals and Systems II 212 Page April 14 2014 EEE3086F Signals and Systems II 212 Page April 14 2014 brPage 2br EEE3086F Signals and Systems II 212 Page April 14 201 Before discussing the stability test let us rst introduce the following notions of stabilit y for a linear time invariant LTI system 1 BIBO stability or zero state stbaility 2 Internal stability or zero input stability Since we have not introduced t Memory Memory is a property relev ant o nly to systems whose input and output signals have the same independent variable A system is said to be memoryless if its output for each value of the independent variable is dependent only on the input signa In this lecture we discuss these signals and then proceed to a discussion of sys tems first in general and then in terms of various classes of systems defined by specific system properties The unit step both for continuous and discrete time is zero Dan C. Marinescu. Office: HEC 304. Office hours: M-. Wd. 11:30 - 12:30 . A. M. Last time: . Deadlock detection. Wait-for-graphs. Semaphores . Today. Monitors. Atomicity. Hardware support for atomicity. Examples of signals:. Voltage output of a RLC circuit, stock market, ECG, speech, sequences of bases in a gene, MRI or CT scan. Examples of systems:. RLC circuit, an algorithm for predicting future of stock market, an algorithm for detecting abnormal heart rhythms, speech understanding systems, edge detection algorithm for medical images.. (Part One). Biology 10(A). Learning Objectives. Identify major organ systems in animals. Describe the interactions that occur among systems to carry out vital animal functions. Interactions Among Animal Systems. Instructor: . Dr. Ghazi Al Sukkar. Dept. of Electrical Engineering. The . University of Jordan. Email: . ghazi.alsukkar@ju.edu.jo. 1. Fall 2014. 2. Course Details. Objective. Establish a background in Signal and System Analysis. Carrier . is strong and stable sinusoidal signal . x(t) = A cos(. w. c . t + . q. ). Carrier transports . information. (audio, video, text, email) across the world. Why is the carrier required?. Audio and video signals cannot travel over large distances since they are weak. Part 1. Fourier Transform . Properties. 12/20/2016. Chapter 3: Analysis and Transmission of Signals - 2. 2. Fourier Transform Properties. . 2. 12/20/2016. Chapter 3: Analysis and Transmission of Signals - 2.