1. The document discusses analog to digital conversion (ADC) and digital to analog conversion (DAC). It explains that ADC involves sampling an analog signal and encoding it into a discrete-time, discrete-amplitude digital signal. DAC uses a zero-order hold to keep the output fixed at the latest digital value until the next sample time.
2. The document derives the transfer function of a zero-order hold, which is used in DAC. It shows that a zero-order hold can be represented by the equation m(t) = u(t) - u(t-T), where T is the sampling period.
3. The document notes that digital systems offer advantages over analog systems like accuracy
This chapter provides complete solution of different circuits using Laplace transform method and also provides information about applications of Laplace transforms.
Sampling is a Simple method to convert analog signal into discrete Signal by using any one of its three methods
if the sampling frequency is twice or greater than twice then sampled signal can be convert back into analog signal easily......
This chapter provides complete solution of different circuits using Laplace transform method and also provides information about applications of Laplace transforms.
Sampling is a Simple method to convert analog signal into discrete Signal by using any one of its three methods
if the sampling frequency is twice or greater than twice then sampled signal can be convert back into analog signal easily......
A signal is a pattern of variation that carry information.
Signals are represented mathematically as a function of one or more independent variable
basic concept of signals
types of signals
system concepts
Describes Signal Processing in Radar Systems,
For comments please contact me at solo.hermelin@gmail.com.
For more presentations on different subjects visit my website at http://solohermelin.com.
I recommend to see the presentation on my website under RADAR Folder, Signal Processing Subfolder.
Signals and Systems is an introduction to analog and digital signal processing, a topic that forms an integral part of engineering systems in many diverse areas, including seismic data processing, communications, speech processing, image processing, defense electronics, consumer electronics, and consumer products.
A signal is a pattern of variation that carry information.
Signals are represented mathematically as a function of one or more independent variable
basic concept of signals
types of signals
system concepts
Describes Signal Processing in Radar Systems,
For comments please contact me at solo.hermelin@gmail.com.
For more presentations on different subjects visit my website at http://solohermelin.com.
I recommend to see the presentation on my website under RADAR Folder, Signal Processing Subfolder.
Signals and Systems is an introduction to analog and digital signal processing, a topic that forms an integral part of engineering systems in many diverse areas, including seismic data processing, communications, speech processing, image processing, defense electronics, consumer electronics, and consumer products.
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
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Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
3. Analog to digital conversion A/D
• Essentially a sample and hold followed by encoding to a
digital signal.
• Sampling frequency in Hz is fs=1/T
• Sampling frequency in rad/sec is s=2f
• Result is discrete amplitude, discrete time signal
4. r*(t)
t
• Need to discretize analog
signals (in time and amplitude)
to handle with digital
computation.
r(t)
An analog signal r(t)
ANALOG TO DIGITAL CONVERSION A/D
PHYSICAL EXPLANATION
r(t) is sampled every T sec, by a
switch that is closed for a small
period.
r(t) r*(t)
T
r(t) r*(t)
r*(t) is the sampled signal
T
T
6. DELAYED IMPULSES -- PULSE TRAIN
𝛿 𝑡
𝛿 𝑡 − 𝑇
𝛿 𝑡 − 2𝑇
𝛿 𝑡 − 3𝑇
⋮
+
⟹ 𝛿 𝑡 + 𝛿 𝑡 − 𝑇 + 𝛿 𝑡 − 2𝑇 + 𝛿 𝑡 − 3𝑇 + ⋯
Impulse Function, e.g
amplitude 10 units
Delayed by T seconds
Delayed by 2T seconds
Delayed by 3T seconds
(Adding the above signals)
Also called a pulse train
𝑝 𝑡 =
𝐾=0
∞
𝛿 𝑡 − 𝐾𝑇
7. Need to discretize analog signals (in time and amplitude) to handle with
digital computation.
t
Sampled signal, r*(t) = r(t) x p(t)
r*(t)
The sampled-data signal
resulting from multiplying r(t)
by p(t)
ANALOG TO DIGITAL CONVERSION A/D
MATHEMATICAL EXPLANATION
× =
t
r(t)
t
p(t)
8.
k
k
kT
t
kT
r
t
r
0
)
(
)
(
)
(
ANALOG TO DIGITAL CONVERSION A/D
t
r(t)
An analog signal r(t)
t
å
¥
=
=
*
-
=
k
k
kT
t
kT
r
t
r
0
)
(
)
(
)
( d
å
¥
=
=
*
-
=
k
k
kT
t
kT
r
t
r
0
)
(
)
(
)
( d
The amplitude at the kTth instant is
9. Digital to Analog conversion D/A
• Essentially a sample and hold circuit. Usually uses a
zero-order-hold (ZOH) to keep output fixed at latest
digital value until the next sample time arrives
• The ZOH introduces a very significant time delay unless
the sampling frequency is very high
f(kT) m(t)
⟹ results in an analog signal
(continuous time-discrete value)
10. Zero Order Hold (ZOH)
• A ZOH is a device that holds the value it receives from the
sampler. It captures and remembers that value for the following T
seconds, where T is the sampling period (=1/sampling rate).
• We need to find the impact of adding a transfer function
11. Determine the closed-loop transfer function, Y(s)/R(s).
a. The sampled-data control system of a process in its closed-loop form is as
shown.
)
(
1
)
(
1
s
s
s
G
ZOH G(s) Y(s)
R(s)
T=1 sec
+
-
Example (this is from a later slide, so don’t worry at the moment)
12. Zero Order Hold (ZOH)
• A ZOH is a device that holds the value it receives from the
sampler. It captures and remembers that value for the following T
seconds, where T is the sampling period (=1/sampling rate).
• We need to find the impact of adding a transfer function
• When we apply an impulse to a system, the Laplace transform of
the resulting output is the system’s transfer function.
• We use this concept to derive the transfer function for a ZOH.
• The sampler and the resulting output appears as follows:
13. Zero Order Hold
r(t) r*(t)
T
r(t) r*(t)
r(t) r*(t)
T
r(t) r*(t)
m(t)
𝑟 𝑡 = 𝛿 𝑡
m(t)
Sample (record the value) and holding it
Lets understand this box or the hold function
14. The hold function
10/16/2023 14
u(t-3) or in this case with T=3 u(t-T)
u(t)
m(t) = u(t) - u(t-T)
The hold function can be expressed as,
𝑚 𝑡 = 𝑢 𝑡 − 𝑢 𝑡 − 𝑇
1
𝑠
−
1
𝑠
𝑒−𝑠𝑇
𝑀(𝑠) =
1 − 𝑒−𝑠𝑇
𝑠
𝑀 𝑠 =
• Any delayed function
results in 𝑒−𝑠𝑇
in the
Laplace domain.
• 𝑓 𝑡 ⇌ 𝐹 𝑠
• 𝑓 𝑡 − 𝑇 ⇌ 𝐹 𝑠 𝑒−𝑠𝑇
• Check Laplace transform
properties
15. Zero-Order Hold
The output, m(t), is expressed as,
the transfer function of ZOH, call it , GZOH (s), is:
r(t) r*(t)
T
r(t) r*(t)
r(t) r*(t)
T
r(t) r*(t)
m(t)
𝑚 𝑡 = 𝑢 𝑡 − 𝑢 𝑡 − 𝑇
𝑀 𝑠 =
1
𝑠
−
1
𝑠
𝑒−𝑠𝑇
𝑀(𝑠) =
1 − 𝑒−𝑠𝑇
𝑠
For an impulse input, [𝑟 𝑡 = 𝛿 𝑡 ⟺ 𝑅 𝑠 = 1],
𝐺𝑍𝑂𝐻 =
𝑀(𝑠)
𝑅(𝑠)
=
1 − 𝑒−𝑠𝑇
𝑠
1
=
1 − 𝑒−𝑠𝑇
𝑠
16. Why do we need digitalization… ?
• Suggest any aerospace system
• Present a general model/block diagram/dynamic equation
• Discuss
• Suggest reasons, why is there a need to digitalize the system
• Submit to BlackBoard
10/16/2023 16
17. Why Digital Signal and Digital Systems…?
• Accuracy
• Design Flexibility
• Speed
• Cost
• Storage
• Implementation errors
18. In This lecture we discussed…
• What and why of digital system
• Continuous and discrete time system/signal
• Basic block diagram of digital system
• Some basic signals
• Introduction to A/D and D/A
• Zero Order Hold
• Physical and mathematical representation
• Finally, conclusion on the advantages of using digital systems