Lab 4
Introduction to MS 150 Servo System
Reference: Modular Servo System MS150 book 1. This reference is called the Lab
Manual on your Blackboard page.
There is no prelab but it would help to have read through the material before coming to
class as this
Lesson 11 Solutions
5.9 (a)
1. By superposition we can express the input sequence as a linear combination of two distinct sequences
[] = 1 [] + 2 []. Taking the upper path in Fig. 5-17 gives
[] = 1 [] + 2 []
while the lower path gives
[] = ( 1 [] + 2 [])
Laboratory 4
Introduction to Sampling, Aliasing, and Reconstruction with Digital Images.
Laboratory Objectives
To learn how to load and display images in MATLAB.
To learn how to synthesize test images in MATLAB.
To learn how to sample and reconstruct i
Laboratory 4
Introduction to Sampling, Aliasing, and Reconstruction with Digital Images.
Laboratory Objectives
To learn how to load and display images in MATLAB.
To learn how to synthesize test images in MATLAB.
To learn how to sample and reconstruct i
Laboratory 3
Introduction to complex numbers and complex exponentials in MATLAB.
Laboratory Objectives
To learn how to manipulate complex numbers in MATLAB.
To learn how to plot complex numbers in MATLAB.
To learn how to add sinusoidal waveforms using
P2.51: Two spherical conductive shells of radius a and b (b > a) are separated by a material with
conductivity . Find an expression for the resistance between the two spheres.
First find E for a < r < b, assuming +Q at r = a and Q at r = b. From Gausss la
P2.57: A material has 12.0 V/m ax field intensity with permittivity 194.5 pF/m. Determine the
electric flux density.
D E 194.5 x1012 F
m
C
12V m FV 2.3 nC a
m
2
x
P2.63: For z 0, r1 = 9.0 and for z > 0, r2 = 4.0. If E1 makes a 30 angle with a normal to t
P2.57: A material has 12.0 V/m ax field intensity with permittivity 194.5 pF/m. Determine the
electric flux density.
D E 194.5 x1012 F
m
C
12V m FV 2.3 nC a
m
2
x
P2.63: For z 0, r1 = 9.0 and for z > 0, r2 = 4.0. If E1 makes a 30 angle with a normal to t
P2.29: Given D = 2a + sin az C/m2, find the electric flux passing through the surface
defined by 2.0 m, 90. 180, and z = 4.0 m.
Dg S, dS d d a z
d
4
2
2
2 a sin a z g d d a z d
sin d 6C
P2.32: Given a 2.00 cm radius solid wire centered on the z-axis
P2.39: Given D = 3ax +2xyay +8x2y3az C/m2, (a) determine the charge density at the point
P(1,1,1). Find the total flux through the surface of a cube with 0.0 x 2.0m, 0.0 y 2.0m
and 0.0 z 2.0m by evaluating (b) the left side of the divergence theorem and (
P2.19: In free space, there is a point charge Q = 8.0 nC at (-2.0,0,0)m, a line charge L = 10
nC/m at y = -9.0m, x = 0m, and a sheet charge s = 12. nC/m2 at z = -2.0m. Determine E at the
origin.
The situation is represented by Figure P2.19, and the total
P2.71: A parallel plate capacitor with a 1.0 m2 surface area for each plate, a 2.0 mm plate
separation, and a dielectric with relative permittivity of 1200 has a 12. V potential difference
across the plates. (a) What is the minimum allowed dielectric stre
P2.71: A parallel plate capacitor with a 1.0 m2 surface area for each plate, a 2.0 mm plate
separation, and a dielectric with relative permittivity of 1200 has a 12. V potential difference
across the plates. (a) What is the minimum allowed dielectric stre
P2.39: Given D = 3ax +2xyay +8x2y3az C/m2, (a) determine the charge density at the point
P(1,1,1). Find the total flux through the surface of a cube with 0.0 x 2.0m, 0.0 y 2.0m
and 0.0 z 2.0m by evaluating (b) the left side of the divergence theorem and (
Lesson 10 Solutions
5.7 The impulse response is computed from
[] = [ ] = cfw_
=0
for = 0,1,2,
0
otherwise
Because the delta function is non-zero only when n = k the impulse response is just the the sequence of
difference equation coefficients.
= cfw_3,
Lab 6: FIR Filtering
Nasir Ahmed
Abstract
In this lab, we perform a simple FIR filter. The FIR filter is simply a discrete time
convolution of the signal and the filter coefficients. The numbers of coefficients
determine the order of the filter. The filte
Experiment 6
Characterization of Second Order Systems
in the Time Domain
Prelab Experiment 6
The purpose of this lab is to determine the transfer function of a second order system. This transfer
function will be used in Experiment 8 where a controller wil
Laboratory 6
Design and Verification of Running-Average FIR Filters.
Laboratory Objectives
To design running-average FIR filters.
Apply the MATLAB functions freqz( ) and find( ) to verify design.
Simulate FIR filters using the MATLAB GUI dltidemo.
1.0
Laboratory 7
The Three Domains: z, n, and
Laboratory Objectives
To understand the relationship between the locations of the poles and zeros as
described by the system function H(z), the impulse response h[n], and the frequency
response ( ).
To verify the
Lesson 19 Solutions
7.11(a)
() = 1 + 3 =
3 + 1
3
3
This has zeros at = 1 = (2+1)/3 for = 0,1,2 so = /3 , , 5/3, = /3 ,
or = +/3, + , +5/3, = /3 , + so zeros are located at = /3 ,
Note that the zeros not on the real axis appear as complex conjugates.
(b)
Lesson 17 Solutions
7.3 (a) By definition of the z-transform
() []
then performing an inverse z-transform of () gives the impulse response
[] = [] + 5[ 1] 3[ 2] + 2.5[ 3] + 4[ 8]
Recalling that the input response results from inputting [] = []to yield []