EE 3054: Signals, Systems and Transforms
Exercises
Ivan W. Selesnick
March 25, 2013
Contents
1 Discrete-Time Signals and Systems
1.1 Signals . . . . . . . . . . . . . . . .
1.2 System Properties . . .
ENGR-AD.119
Circuits of Fundamentals
Abdulmotaleb El Saddik ([email protected], office: CSE 2025)
Mohamad Eid ([email protected], office: CSE 2002A)
Fall 2012
The Circuit of Life
Dont be Shy!
Learn
Chapter 2
Voltage and Current Laws
New York University Abu Dhabi
Fall 2012
Nodes, Paths, Loops, Branches
these two networks are equivalent
there are three nodes and five branches
a path is a sequence
Assignment #1 Fall 2011 Digital Logic
Hard copy of your solution due by the beginning of the next lecture on Sunday, Sep 18th.
To be completed individually.
Q1[Systems]> Please give an example for a s
Noha Alfergani
Usama Afzal
Lab 1: Circuits and Fundamentals
Verification of Ohms Law
Introduction:
Ohms law states that the potential difference between any two points is directly
proportional to the
1
8-BIT NYUAD PROCESSOR DESIGN
GRAND LAB
Due Date:
December 11, 2011
By:
Usama Afzal
Umair Saad
Abdelrazak Sharif
Noha Alfergani
2
4x16 Decoder
We used the same logic that was implemented to
Young Earth creationism (YEC) is the religious belief[1] that Heavens,
Earth, and all life on Earth were created by direct acts of the Abrahamic
God during a relatively short period, sometime between
EE3054 - Homework 4 - Solutions
1. (a) Since [n] = u[n] u[n 1], we know that if the step response of
a system is y [n], then the impulse response of the system is
h[n] = y [n] y [n 1].
(1)
Hence, give
EE3054 - Homework 6 - Solutions
1. The dierence equation of the system is given to be
y [n] = y [n 1] + y [n 2] + x[n].
(1)
(a) To nd the transfer function, take the z -transform of both sides
of (1).
EE3054 - Homework 10 - Solutions
1.
(a) From the properties of an op-amp, we can nd the current through the series RC combination
(t
to be xR ) . If vR (t) and vC (t) are the voltages across the resis
EE 3054: Signals, Systems, and Transforms
Lab Manual
1. The lab will meet every week.
2. Be sure to review the lab ahead of the lab session. Please ask questions of the TAs if you need
some help, but
formulas for discrete-time LTI signals and systems
useful formulas
name
formula
name
formula
area under impulse
X
Eulers formula
ej = cos() + j sin()
. . . for cosine
cos() =
ej + ej
2
. . . for sine
Chapter 6
RLC Circuits
New York University Abu Dhabi
Fall 2012
an RLC circuit has both an inductor and a
capacitor
these circuits have a wide range of
applications, including oscillators and
frequen
Chapter 4
Circuit Analysis Techniques
New York University Abu Dhabi
Fall 2012
Linear Elements and Circuits
a linear circuit element has a linear voltagecurrent relationship:
if i(t) produces v(t), t
SP First ERRATA. These are mostly typos, but there are a few crucial mistakes in formulas.
Underline is not used in the book, so Ive used it to denote changes.
JHMcClellan, February 13, 2010
1. page 1
Chapter 2
Circuit Power Analysis
(Chapter 11 in reference book)
New York University Abu Dhabi
Summer 2013
Instantaneous Power
The instantaneous power is
p(t)=v(t)i(t).
At all times t,
power supplied =
Chapter 6
Circuit Analysis in the S-Domain
(Chapter 15 in reference book)
New York University Abu Dhabi
Summer 2013
What are Laplace transforms?
t is real, s is complex!
Inverse requires complex analy
Chapter 3
The Operational Amplifier
(chapter 6 in the reference)
New York University Abu Dhabi
Summer 2013
The Operational Amplifier
The operational amplifier or op amp for short, finds
daily usage i
Afzal 1
Lab 1 Report: AC Circuits; Voltages and Currents in
the Complex Domain Power Transfer
May 27th, 2013
Professor Mohamad Eid
Mr. Sudhir Harit
Usama Afzal
Afzal 2
Introduction and Objective:
Anal
A Real Time Vibrotactile Biofeedback System for Optimizing Athlete Training
Mohamad Eid, Umair Saad, and Usama Afzal
Multimedia Communications Research Laboratory MCRLab
New York University Abu Dhabi,
Usama Afzal
Faith in Science, Reason in Revelation
Assignment 1 (Review Paper)
An Overview of the Debate
It often seems that the humanity, since its conception has primarily been split into two groups
Science and the
Rise of Islam
The Early Muslim Community,
Translation, and Ibn al-Warraq (d.990)
The Rise of Islam
The religion of Islam emerges as a community around
the Prophet Muhammad (570-632) i
Thevenin and Norton Equivalent
Circuits
Voltage Source Model
Current Source Model
1
Why do we need them?
Circuit simplification
Reduce the complicated circuit on the left to a
voltage source in serie
Chapter 3
Nodal and Mesh Analysis
New York University Abu Dhabi
Fall 2012
Circuit Analysis
as circuits get more complicated, we need an
organized method of applying KVL, KCL, and
Ohms
nodal analysis