Tau-Vee Convolution
An alternative to the sliding
function method of convolution
Contents
What is Convolution (Slides 3-5)
Preliminaries (Slides 6-7)
A Detailed Example (Slides 8-47)
Additional Examples (Slides 48-62)
Summary (Slides 63-77)
Convolution wi
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Lecture 11: Fourier Transform
Properties and Examples
3. Basis functions (3 lectures): Concept of basis
function. Fourier series representation of time
functions. Fourier transform and its properties.
Examples, transform of simple time functions.
Objectiv
EE1259 Calculus Problem Set III
1. Let R be the distance vector from a fixed point (x, y, z) to the point (x, y, z), let R to be its
length. Show that
a) R 2 2 R
a R R / R
b) 1 R R / R 3 a R / R 2
c) What is the general formula for R n
R
R
R
1
R
ay
Problem 28. Using Ohms law to solve for resistance, we have Rx = v/i = (100 V)/(10 mA) = 10 k. To
find the source power, note that the current source is connected in parallel with the resistor, so they share
the same voltage. The power
supplied by the sou
HW # 9
(in here the book seems to have a typo because there is no Figure 6-17. Instead the first sentence
should read: Following the rationale used to derive the input-output relationship for the integrator
and differentiator circuits with operational amp
HW # 6
Problem 375. For the circuit of Figure P375 find the value of RL that will result in:
Problem 379. Find the value of R in the circuit of Figure P379 so that maximum power is delivered to
the load. What is the value of the maximum power?
Problem 414
HW # 10
Problem 73. Find the time constants of the circuits in Figure P73.
Problem 75. Each of the two circuits in Figure P75 have a switch that affects their time constants. For
circuit C1 find the time constant when the switch is in position A and repea
HW # 7
Problem 443. Find vO in terms of the inputs v1, v2, and v3 in Figure P443. (Hint: Use superposition.)
Problem 447. Find vO in terms of vS1 and vS2 in Figure P447.
Problem 450.
(a) Use node-voltage analysis to find the input-output relationship or K
HW #3
Problem 241. Find the equivalent resistance REQ in Figure P241.
Problem 243. Find REQ in Figure P243 when the switch is open. Repeat when the switch is closed.
Problem 251. For each of the circuits in Figure P251, find the equivalent practical volta
HW # 8 solutions
Problem 51. Sketch the following waveforms:
Problem 53. Using appropriate step functions, write an expression for each waveform in Figure P53.
Problem 58. Express each of the waveforms in Figure P58 as a sum of singularity functions.
Prob
HW # 5
Problem 342. Use the superposition principle to find vO in Figure P342.
Problem 347. A linear circuit containing two sources drives a 100 load resistor. Source number 1
delivers 1W to the load when source number 2 is off. Source number 2 delivers 9
HW # 4
Problem 33.
(a) Formulate node-voltage equations for the circuit in Figure P33. Arrange the results in matrix form
Ax = b.
(b) Solve these equations for vA and vB.
(c) Use these results to find vx and ix.
Problem 314.
(a) Formulate mesh-current equ
HW 1 solutions
1-4. Electric power companies measure energy consumption in kilowatt-hours, denoted kWh.
One kilowatthour is the amount of energy transferred by 1 kW of power in a period of 1 hour. A
power company billing statement reports a users total en
ECE 0142 Computer Organization
Homework 8
Assigned: 3/24/16 Due: 3/31/2016 before class
Problem 2.39, 2.41, 2.42 on pp. 172 of your textbook. Change the value in 2.39 to:
0000 0010 0001 0000 0100 1001 0010 01112
ECE 0142 Computer Organization
Homework 11
Assigned: 4/7/2016 Due: 4/14/2016 before class
1. Problem 4.8.1 4.8.3 on pp. 360-370 of your textbook.
2. Explain in a clear manner the benefits of having a pipeline, and the
limitations of it to achieve the maxi
ECE 0142 Computer Organization
Homework 10
Assigned: 3/29/2016 Due: 4/5/2016 before class
Problem 4.7 on pp. 360 of your textbook. The opcode can be looked up from the
green sheet, the first page of your textbook.
CoE 142 Computer Organization
Sample Midterm 2
March 17, 2016
Instructor: Jun Yang
Student Name:_
ID:_
A. (2 pts each) Multiple choices. Circle the only correct answer from the following questions.
1.
A memory has 512M bytes and is byte addressable. How m
ECE 0142 Computer Organization
Homework 6
Assigned: 2/18/16 Due: 2/26/2016 (Friday before recitation)
1. Given the following initial memory state, and MIPS code, write down the changed
register or memory value for each instruction, and derive the final me
ECE 0142 Computer Organization
Homework 12
Assigned: 4/16/2016
Due: 4/22/2016 before class
Use the following pipeline to execute the following sequence of instructions, when
the sw instruction reaches the memory stage. List the value on all labeled wires,
ECE 142 Computer Organization
Midterm 1
Instructor: Jun Yang
Student Name:_
ID:_
A. (2 pts each) Multiple choices. Select the only correct answer from the following
questions.
1. What is the Octal representation of value 69310?
(a) 5321
(b) 1265
(c) 5324
ECE 0142 Computer Organization
Homework 7
Assigned: 2/23/16 Due: 3/4/2016 (Friday before recitation)
1. Derive pseudo instructions: ble, bgt bge using real instructions: beq/bne and
slt/slti as we discussed in lecture
2. Problem 2.26 on page 170 of the te
ECE 142 Computer Organization
Final Review
Instructor: Jun Yang
Student Name:_
I. Some important basic concepts
a) Advantages and disadvantages of pipeline?
b) Why does cache work? How is temporal and spatial locality captured?
c) Understand why Booths al
ECE 0142 Computer Organization
Homework 1
Show the steps and results for the following questions.
1. (12 pts) Fill in the table. Write down all possible binary representations for the
decimal values in the first column. Assume that you have 5 bits in tota