SlideShare a Scribd company logo
Problem Find the z-transform, in closed form, of the number sequence generated by sampling,
every T seconds the function f(t) whose Laplace transform is given by F(s) = 2(1 - e^-5s)/s(s =
2), T = 1 s
Solution
F(s)=2(1-e^-5)/(s(s+2))
=(1-e^-5)(1/s-1/(s+2))
As we know: z=e^(sT)=e^s
Henc . e^-5=z^-5
Z transform of 1/s=z/(z-1)
Z transfrom of 1/(s+2)=z/(z-e^-2)
F(z)=(1-z^-5)[z/(z-1)-z/(z-e^-2)]
F(z)=(1-z^-5)z(1-e^-2)/[(z-1)(z-e^-2)]

More Related Content

More from Rahul04August

Two chains are available to hold up an object. A student arranges t.pdf
Two chains are available to hold up an object. A student arranges t.pdfTwo chains are available to hold up an object. A student arranges t.pdf
Two chains are available to hold up an object. A student arranges t.pdf
Rahul04August
 
This is a modeling problem in Interger programming.We have a probl.pdf
This is a modeling problem in Interger programming.We have a probl.pdfThis is a modeling problem in Interger programming.We have a probl.pdf
This is a modeling problem in Interger programming.We have a probl.pdf
Rahul04August
 
There is a surge of mergers and acquisitions among television networ.pdf
There is a surge of mergers and acquisitions among television networ.pdfThere is a surge of mergers and acquisitions among television networ.pdf
There is a surge of mergers and acquisitions among television networ.pdf
Rahul04August
 
The purpose of this C++ programming project is to allow the student .pdf
The purpose of this C++ programming project is to allow the student .pdfThe purpose of this C++ programming project is to allow the student .pdf
The purpose of this C++ programming project is to allow the student .pdf
Rahul04August
 
the input to a frequency translation system has a bandwidth of 19 to.pdf
the input to a frequency translation system has a bandwidth of 19 to.pdfthe input to a frequency translation system has a bandwidth of 19 to.pdf
the input to a frequency translation system has a bandwidth of 19 to.pdf
Rahul04August
 
The First genetic maps used genes as markers becauseplease answer.pdf
The First genetic maps used genes as markers becauseplease answer.pdfThe First genetic maps used genes as markers becauseplease answer.pdf
The First genetic maps used genes as markers becauseplease answer.pdf
Rahul04August
 
the consistent joining of two specific bases in nucleotides within DN.pdf
the consistent joining of two specific bases in nucleotides within DN.pdfthe consistent joining of two specific bases in nucleotides within DN.pdf
the consistent joining of two specific bases in nucleotides within DN.pdf
Rahul04August
 
Technology is advancing at an alarming rate. We now have more method.pdf
Technology is advancing at an alarming rate. We now have more method.pdfTechnology is advancing at an alarming rate. We now have more method.pdf
Technology is advancing at an alarming rate. We now have more method.pdf
Rahul04August
 
Suppose a mutant fruit fly with blue eyes was recently discovered. I.pdf
Suppose a mutant fruit fly with blue eyes was recently discovered. I.pdfSuppose a mutant fruit fly with blue eyes was recently discovered. I.pdf
Suppose a mutant fruit fly with blue eyes was recently discovered. I.pdf
Rahul04August
 
Students should research and identify an article on the subject of s.pdf
Students should research and identify an article on the subject of s.pdfStudents should research and identify an article on the subject of s.pdf
Students should research and identify an article on the subject of s.pdf
Rahul04August
 
Questions1. Research the Master Boot Record. Write a long paragra.pdf
Questions1. Research the Master Boot Record. Write a long paragra.pdfQuestions1. Research the Master Boot Record. Write a long paragra.pdf
Questions1. Research the Master Boot Record. Write a long paragra.pdf
Rahul04August
 
Please give me as detailed as possible answers! Im really struggli.pdf
Please give me as detailed as possible answers! Im really struggli.pdfPlease give me as detailed as possible answers! Im really struggli.pdf
Please give me as detailed as possible answers! Im really struggli.pdf
Rahul04August
 
OverviewIn response to the variable effects of conservation effort.pdf
OverviewIn response to the variable effects of conservation effort.pdfOverviewIn response to the variable effects of conservation effort.pdf
OverviewIn response to the variable effects of conservation effort.pdf
Rahul04August
 
Part I Write a program that uses a function that takes in two integ.pdf
Part I Write a program that uses a function that takes in two integ.pdfPart I Write a program that uses a function that takes in two integ.pdf
Part I Write a program that uses a function that takes in two integ.pdf
Rahul04August
 
Name this stage of the organism Identify the structure What does th.pdf
Name this stage of the organism  Identify the structure  What does th.pdfName this stage of the organism  Identify the structure  What does th.pdf
Name this stage of the organism Identify the structure What does th.pdf
Rahul04August
 
Math 1140 Test 1 Exercise # 4 According to pew Research, 50 of adul.pdf
Math 1140 Test 1 Exercise # 4 According to pew Research, 50 of adul.pdfMath 1140 Test 1 Exercise # 4 According to pew Research, 50 of adul.pdf
Math 1140 Test 1 Exercise # 4 According to pew Research, 50 of adul.pdf
Rahul04August
 
Is a trisomic organism best described as an aneuploid or a polyploid.pdf
Is a trisomic organism best described as an aneuploid or a polyploid.pdfIs a trisomic organism best described as an aneuploid or a polyploid.pdf
Is a trisomic organism best described as an aneuploid or a polyploid.pdf
Rahul04August
 
Histology is the study of the tissues of the body and how these tissu.pdf
Histology is the study of the tissues of the body and how these tissu.pdfHistology is the study of the tissues of the body and how these tissu.pdf
Histology is the study of the tissues of the body and how these tissu.pdf
Rahul04August
 
How many different kinds of computer networks can you recognize.pdf
How many different kinds of computer networks can you recognize.pdfHow many different kinds of computer networks can you recognize.pdf
How many different kinds of computer networks can you recognize.pdf
Rahul04August
 
How does herbivory on seeds and fruits differ from herbivory on le.pdf
How does herbivory on seeds and fruits differ from herbivory on le.pdfHow does herbivory on seeds and fruits differ from herbivory on le.pdf
How does herbivory on seeds and fruits differ from herbivory on le.pdf
Rahul04August
 

More from Rahul04August (20)

Two chains are available to hold up an object. A student arranges t.pdf
Two chains are available to hold up an object. A student arranges t.pdfTwo chains are available to hold up an object. A student arranges t.pdf
Two chains are available to hold up an object. A student arranges t.pdf
 
This is a modeling problem in Interger programming.We have a probl.pdf
This is a modeling problem in Interger programming.We have a probl.pdfThis is a modeling problem in Interger programming.We have a probl.pdf
This is a modeling problem in Interger programming.We have a probl.pdf
 
There is a surge of mergers and acquisitions among television networ.pdf
There is a surge of mergers and acquisitions among television networ.pdfThere is a surge of mergers and acquisitions among television networ.pdf
There is a surge of mergers and acquisitions among television networ.pdf
 
The purpose of this C++ programming project is to allow the student .pdf
The purpose of this C++ programming project is to allow the student .pdfThe purpose of this C++ programming project is to allow the student .pdf
The purpose of this C++ programming project is to allow the student .pdf
 
the input to a frequency translation system has a bandwidth of 19 to.pdf
the input to a frequency translation system has a bandwidth of 19 to.pdfthe input to a frequency translation system has a bandwidth of 19 to.pdf
the input to a frequency translation system has a bandwidth of 19 to.pdf
 
The First genetic maps used genes as markers becauseplease answer.pdf
The First genetic maps used genes as markers becauseplease answer.pdfThe First genetic maps used genes as markers becauseplease answer.pdf
The First genetic maps used genes as markers becauseplease answer.pdf
 
the consistent joining of two specific bases in nucleotides within DN.pdf
the consistent joining of two specific bases in nucleotides within DN.pdfthe consistent joining of two specific bases in nucleotides within DN.pdf
the consistent joining of two specific bases in nucleotides within DN.pdf
 
Technology is advancing at an alarming rate. We now have more method.pdf
Technology is advancing at an alarming rate. We now have more method.pdfTechnology is advancing at an alarming rate. We now have more method.pdf
Technology is advancing at an alarming rate. We now have more method.pdf
 
Suppose a mutant fruit fly with blue eyes was recently discovered. I.pdf
Suppose a mutant fruit fly with blue eyes was recently discovered. I.pdfSuppose a mutant fruit fly with blue eyes was recently discovered. I.pdf
Suppose a mutant fruit fly with blue eyes was recently discovered. I.pdf
 
Students should research and identify an article on the subject of s.pdf
Students should research and identify an article on the subject of s.pdfStudents should research and identify an article on the subject of s.pdf
Students should research and identify an article on the subject of s.pdf
 
Questions1. Research the Master Boot Record. Write a long paragra.pdf
Questions1. Research the Master Boot Record. Write a long paragra.pdfQuestions1. Research the Master Boot Record. Write a long paragra.pdf
Questions1. Research the Master Boot Record. Write a long paragra.pdf
 
Please give me as detailed as possible answers! Im really struggli.pdf
Please give me as detailed as possible answers! Im really struggli.pdfPlease give me as detailed as possible answers! Im really struggli.pdf
Please give me as detailed as possible answers! Im really struggli.pdf
 
OverviewIn response to the variable effects of conservation effort.pdf
OverviewIn response to the variable effects of conservation effort.pdfOverviewIn response to the variable effects of conservation effort.pdf
OverviewIn response to the variable effects of conservation effort.pdf
 
Part I Write a program that uses a function that takes in two integ.pdf
Part I Write a program that uses a function that takes in two integ.pdfPart I Write a program that uses a function that takes in two integ.pdf
Part I Write a program that uses a function that takes in two integ.pdf
 
Name this stage of the organism Identify the structure What does th.pdf
Name this stage of the organism  Identify the structure  What does th.pdfName this stage of the organism  Identify the structure  What does th.pdf
Name this stage of the organism Identify the structure What does th.pdf
 
Math 1140 Test 1 Exercise # 4 According to pew Research, 50 of adul.pdf
Math 1140 Test 1 Exercise # 4 According to pew Research, 50 of adul.pdfMath 1140 Test 1 Exercise # 4 According to pew Research, 50 of adul.pdf
Math 1140 Test 1 Exercise # 4 According to pew Research, 50 of adul.pdf
 
Is a trisomic organism best described as an aneuploid or a polyploid.pdf
Is a trisomic organism best described as an aneuploid or a polyploid.pdfIs a trisomic organism best described as an aneuploid or a polyploid.pdf
Is a trisomic organism best described as an aneuploid or a polyploid.pdf
 
Histology is the study of the tissues of the body and how these tissu.pdf
Histology is the study of the tissues of the body and how these tissu.pdfHistology is the study of the tissues of the body and how these tissu.pdf
Histology is the study of the tissues of the body and how these tissu.pdf
 
How many different kinds of computer networks can you recognize.pdf
How many different kinds of computer networks can you recognize.pdfHow many different kinds of computer networks can you recognize.pdf
How many different kinds of computer networks can you recognize.pdf
 
How does herbivory on seeds and fruits differ from herbivory on le.pdf
How does herbivory on seeds and fruits differ from herbivory on le.pdfHow does herbivory on seeds and fruits differ from herbivory on le.pdf
How does herbivory on seeds and fruits differ from herbivory on le.pdf
 

Recently uploaded

Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Fajar Baskoro
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Celine George
 
Advanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docxAdvanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docx
adhitya5119
 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
WaniBasim
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Scholarhat
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
 
Cognitive Development Adolescence Psychology
Cognitive Development Adolescence PsychologyCognitive Development Adolescence Psychology
Cognitive Development Adolescence Psychology
paigestewart1632
 
The History of Stoke Newington Street Names
The History of Stoke Newington Street NamesThe History of Stoke Newington Street Names
The History of Stoke Newington Street Names
History of Stoke Newington
 
Pride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School DistrictPride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School District
David Douglas School District
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
NgcHiNguyn25
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Academy of Science of South Africa
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Nguyen Thanh Tu Collection
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
TechSoup
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
Colégio Santa Teresinha
 
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
RAHUL
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
Israel Genealogy Research Association
 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
GeorgeMilliken2
 
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
IreneSebastianRueco1
 
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
National Information Standards Organization (NISO)
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
Celine George
 

Recently uploaded (20)

Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
 
Advanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docxAdvanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docx
 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
 
Cognitive Development Adolescence Psychology
Cognitive Development Adolescence PsychologyCognitive Development Adolescence Psychology
Cognitive Development Adolescence Psychology
 
The History of Stoke Newington Street Names
The History of Stoke Newington Street NamesThe History of Stoke Newington Street Names
The History of Stoke Newington Street Names
 
Pride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School DistrictPride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School District
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
 
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
 
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
 
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
 

Problem Find the z-transform, in closed form, of the number sequence .pdf

  • 1. Problem Find the z-transform, in closed form, of the number sequence generated by sampling, every T seconds the function f(t) whose Laplace transform is given by F(s) = 2(1 - e^-5s)/s(s = 2), T = 1 s Solution F(s)=2(1-e^-5)/(s(s+2)) =(1-e^-5)(1/s-1/(s+2)) As we know: z=e^(sT)=e^s Henc . e^-5=z^-5 Z transform of 1/s=z/(z-1) Z transfrom of 1/(s+2)=z/(z-e^-2) F(z)=(1-z^-5)[z/(z-1)-z/(z-e^-2)] F(z)=(1-z^-5)z(1-e^-2)/[(z-1)(z-e^-2)]