EE245
LABORATORY EXPERIMENT 10
digital
calculator
BY
RODOLPHE NOUBIEU
PROF:
LAN XIANG
05 / 14 / 2015
Objective:
The purpose of this laboratory experiment was to design an hexadecimal digital
calculator capable of performing basic arithmetic operations lik
Lab #1: Simple Combination Logic Circuit
By Nadine-Marie Bell
February 9, 2016
ENEE 245L_Professor Adamo Spring 2016
Objective: After completing this lab, I will know how to design a simple combination logic circuit by
completing an SOP realization of the
Lab 7 Nadine-Marie Bell
1
LAB #7: ENCRYPTION SEQUENCE DETECTOR
March 12, 2016
Nadine-Marie Bell
Professor Adamo
ENEE245 Digital Circuits and Systems Laboratory
LAB 4 NADINE-MARIE BELL
2
Objective
After completing this experiment, I will be able to design,
EE207
LABORATORY EXPERIMENT 7
Passive filter
design
BY
RODOLPHE NOUBIEU
PROF:
LAN XIANG
04 / 28 / 2015
Objective:
1
The purpose of this laboratory experiment was to design, simulate, build, and verify the
performances of first and second order passive fil
Lecture 7:
Matrix-Vector Product; Matrix of a Linear Transformation; MatrixMatrix Product
Sections 2.1, 2.2.1, 2.2.2
Key Points
The matrix-vector product Ax, where A is a m n matrix and x is a ndimensional column vector, is computed by taking the dot pro
Lecture 11:
Introduction to Fourier Series
Sections 2.2.3, 2.3
Trigonometric Fourier Series
Outline
Introduction
Visualization
Theoretical Concepts
Qualitative Analysis
Example
Class Exercise
Introduction
What is Fourier Series?
Representation of
Lecture 9:
Introduction to Matrix Inversion
Gaussian Elimination
Sections 2.4, 2.5, 2.6
Sections 2.2.3, 2.3
Matrix Inverse and Transpose
The inverse of a square matrix A, denoted by A-1, is a
square matrix with the property
A-1A = AA-1 = I,
where I is an
Lecture 13:
Introduction to Discrete Fourier Transform
Sections 2.2.3, 2.3
The discrete Fourier transform (DFT) is a powerful computational tool. It allows us to resolve
nite-dimensional signal vectors into sinusoids of dierent frequencies, some of which
Lecture 10:
Inner Products
Norms and angles
Projection
Sections 2.10.(1-4), 2.12.1
Sections 2.2.3, 2.3
Inner Product
For real-valued vectors, the dot product is also known
as inner product and plays an important role in the
development of vector geometry
Lecture 6:
Aliasing
Sections 1.6
Key Points
Two continuous-time sinusoids having dierent frequencies f and f
(Hz) may, when sampled at the same sampling rate fs, produce sample
sequences having eectively the same frequency. This phenomenon is
known as al
Lecture 8:
Cascaded Linear Transformations
Row and Column Selection
Permutation Matrices
Matrix Transpose
Sections 2.2.3, 2.3
Linear Transformation Cascaded Connection
Viewed as a linear transformation, the product AB represents the
cascade (series) conn
Lecture 13:
Examples of the DFT and its inverse; DFT of a real valued
signal
Sections 2.2.3, 2.3
In the previous lecture, we considered DFT vectors (or spectra) with a single nonzero
entry. The corresponding time domain-signals are Fourier sinusoids. Thus
Lecture 3:
Complex Exponentials; nth root of a complex number;
continuous-time sinusoids
Complex Exponentials
A complex number z with modulus |z| = r and angle z = :
z = r(cos + j sin )
An alternative form for z is
z = rej
where we use the identity
ej =
Lecture 4:
Phasors; Discrete-Time Sinusoids
Sections 1.4, 1.5
Stationary Phasor
Given a time dependent complex sinusoid:
z(t) = Aej(t+)
x(t) is the real part (Similar to cos = Recfw_ej)
On the complex plane, the point z(t) moves with
constant angular ve
Lecture 2:
Lines and circles on the complex plane; complex
multiplication and division
Equations and Curves
|z| - Length of the vector z.
|z1-z2| - Distance between the points z1 and z2.
Geometrical interpretation of the following:
|z z0|= a
a - posi
Lecture 1: Complex Numbers
What is a complex number?
A complex number z is a point (or vector) on a
two-dimensional plane, known as the complex
plane and represented by C.
Cartesian Coordinates
The Cartesian coordinates of z are
x = Recfw_z; the real p
Lecture 5:
Sampling of Continuous-Time Sinusoids
Sections 1.6
The Sampling formula
Sampling is the recording or grabbing of the
values of a continuous time signal at discrete
time interval.
The sampling formula
x[n]= x(nTs)
x[n] Sequence of samples from
Exponential Fourier Series
Instructor: Oluwayomi Adamo
Exponential Fourier Series
Examples of orthogonal sets are trigonometric
(sinusoid) functions, exponential (sinusoid) functions
The set of exponentials e jn t (n 0,1,2,.) is orthogonal
over any inte
EE140 Project 1: Linear Least-Squares Fit
Due Thursday (Apr 6) before midnight. Note: 2 week deadline. Start this project early; you will
not have enough time to finish the project if you start it only a few days before the deadline.
Linear Least-Squares
EE140 Project 2: Discrete Convolution
Assigned Thursday (April 6) due Thursday (April 20) at midnight.
The convolution operation is frequently used in many areas of engineering and physics. It can be
used to determine the response of a linear system to a
EE140 Intro to Programming Concepts for Engineers
Lab 8
Due Thursday April 6 by midnight.
Please turn in the assignment electronically, as usual. Turn in a tar archive of a directory called
assignment_8; turn in code and executables for the remaining prob
Logarithms and Log Properties
Definition
y = log b x is equivalent to x = b y
Algebra Cheat Sheet
Basic Properties & Facts
Arithmetic Operations
Properties of Inequalities
If a < b then a + c < b + c and a - c < b - c
a b
If a < b and c > 0 then ac < bc a
Math 630-102
Lecture 4 Victor Matveev
Fundamental spaces in the general m n case
1. The null-space N(A), the colunn space C(A), and the row-space C(AT) are
completely different animals:
A. C(A) is where the matrix columns and attainable right-hand sides l
Math 630 - Linear Algebra and Its Applications
Instructor: Prof. X. Sheldon Wang
Quiz 6
(Closed book)
Assigned: 8:00pm, April 28th, 2005
Due: 9:00pm, April 28th, 2005
Problem 1 (25 points)
The quadratic f = 3(x1 + 2x2 )2 + 4x22 is positive. Find its matri
Math 630 - Linear Algebra and Its Applications
Instructor: Prof. X. Sheldon Wang
Mid-Term
(Closed book)
Assigned: 6:00pm, Mar. 9, 2006
Due: 8:00pm, Mar. 9, 2006
Problem 1 (15 points)
Construct a matrix with (1, 0, 1) and (1, 2, 0) as a basis for its row s
Pre-lab 9: Active Filter
1/ Design an active LPF given breakpoint frequency 10 kHz ( = 20000 rad/s) and pass-band gain 1.5
1
Z C 1=
We have
jC 1
Rf / ZC1 =
Figure 1: Active Filter LPF
Rf
jC 1
Rf
=
1
1+ jRfC 1
Rf +
jC 1
Assume Op-amp is ideal, we have
Vin