Signals and systems: with MATLAB Computing and Simulink modeling
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Fremont
Orchard Publications
2012
|
| Ausgabe: | 5th ed |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 2.2.3 Frequency Shifting Property Description based on print version record |
| Beschreibung: | 1 online resource (671 p.) |
| ISBN: | 1934404233 1934404241 9781934404232 9781934404249 |
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| 505 | 8 | |a Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. The initial value and final value theorems are also discussed and proved. It continues with the derivation of the Laplac ... ; 2.1 Definition of the Laplace Transformation; The two-sided or bilateral Laplace Transform pair is defined as; (2.1); (2.2) | |
| 505 | 8 | |a Where denotes the Laplace transform of the time function, denotes the Inverse Laplace transform, and is a complex variable whose real part is, and imaginary part, that is, .In most problems, we are concerned with values of time greater than some reference time, say, and since the initial conditions are generally known, the two-sided Laplace transform pair of (2.1) and (2.2) simplifies to the unilateral or one-sided Lap ... ; (2.3); (2.4); The Laplace Transform of (2.3) has meaning only if the integral converges (reaches a limit), that is, if; (2.5) | |
| 505 | 8 | |a To determine the conditions that will ensure us that the integral of (2.3) converges, we rewrite (2.5) as(2.6); The term in the integral of (2.6) has magnitude of unity, i.e., and thus the condition for convergence becomes; (2.7); Fortunately, in most engineering applications the functions are of exponential order. Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable | |
| 505 | 8 | |a Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... In our subsequent discussion, we will denote transformation from the time domain to the complex frequency domain, and vice versa, as; (2.10); 2.2 Properties and Theorems of the Laplace Transform; The most common properties and theorems of the Laplace transform are presented in Subsections 2.2.1 through 2.2.13 below.; 2.2.1 Linearity Property | |
| 505 | 8 | |a The linearity property states that ifhave Laplace transforms; respectively, and; are arbitrary constants, then, ; (2.11); Proof:; Note 1:; It is desirable to multiply by the unit step function to eliminate any unwanted non-zero values of for .; 2.2.2 Time Shifting Property; The time shifting property states that a right shift in the time domain by units, corresponds to multiplication by in the complex frequency domain. Thus, ; (2.12); Proof:; (2.13); Now, we let ; then, and . With these substitutions and with, the second integral on the right side of (2.13) is expressed as | |
| 505 | 8 | |a Written for junior and senior electrical and computer engineering students, this text is an introduction to signal and system analysis, digital signal processing, and the design of analog and digital filters. The text also serves as a self-study guide for professionals who want to review the fundamentals. The expanded fifth edition contains additional information on window functions, the cross correlation and autocorrelation functions, a discussion on nonlinear systems including an example that derives its describing function, as well as additional end-of-chapter exercises | |
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| author | Karris, Steven T. |
| author_facet | Karris, Steven T. |
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| contents | Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. The initial value and final value theorems are also discussed and proved. It continues with the derivation of the Laplac ... ; 2.1 Definition of the Laplace Transformation; The two-sided or bilateral Laplace Transform pair is defined as; (2.1); (2.2) Where denotes the Laplace transform of the time function, denotes the Inverse Laplace transform, and is a complex variable whose real part is, and imaginary part, that is, .In most problems, we are concerned with values of time greater than some reference time, say, and since the initial conditions are generally known, the two-sided Laplace transform pair of (2.1) and (2.2) simplifies to the unilateral or one-sided Lap ... ; (2.3); (2.4); The Laplace Transform of (2.3) has meaning only if the integral converges (reaches a limit), that is, if; (2.5) To determine the conditions that will ensure us that the integral of (2.3) converges, we rewrite (2.5) as(2.6); The term in the integral of (2.6) has magnitude of unity, i.e., and thus the condition for convergence becomes; (2.7); Fortunately, in most engineering applications the functions are of exponential order. Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... In our subsequent discussion, we will denote transformation from the time domain to the complex frequency domain, and vice versa, as; (2.10); 2.2 Properties and Theorems of the Laplace Transform; The most common properties and theorems of the Laplace transform are presented in Subsections 2.2.1 through 2.2.13 below.; 2.2.1 Linearity Property The linearity property states that ifhave Laplace transforms; respectively, and; are arbitrary constants, then, ; (2.11); Proof:; Note 1:; It is desirable to multiply by the unit step function to eliminate any unwanted non-zero values of for .; 2.2.2 Time Shifting Property; The time shifting property states that a right shift in the time domain by units, corresponds to multiplication by in the complex frequency domain. Thus, ; (2.12); Proof:; (2.13); Now, we let ; then, and . With these substitutions and with, the second integral on the right side of (2.13) is expressed as Written for junior and senior electrical and computer engineering students, this text is an introduction to signal and system analysis, digital signal processing, and the design of analog and digital filters. The text also serves as a self-study guide for professionals who want to review the fundamentals. The expanded fifth edition contains additional information on window functions, the cross correlation and autocorrelation functions, a discussion on nonlinear systems including an example that derives its describing function, as well as additional end-of-chapter exercises |
| ctrlnum | (OCoLC)782879147 (DE-599)BVBBV043034034 |
| dewey-full | 530 620 510 507 |
| dewey-hundreds | 500 - Natural sciences and mathematics 600 - Technology (Applied sciences) |
| dewey-ones | 530 - Physics 620 - Engineering and allied operations 510 - Mathematics 507 - Education, research, related topics |
| dewey-raw | 530 620 510 507 |
| dewey-search | 530 620 510 507 |
| dewey-sort | 3530 |
| dewey-tens | 530 - Physics 620 - Engineering and allied operations 510 - Mathematics 500 - Natural sciences and mathematics |
| discipline | Physik Allgemeine Naturwissenschaft Mathematik |
| edition | 5th ed |
| format | Electronic eBook |
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| id | DE-604.BV043034034 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:34Z |
| institution | BVB |
| isbn | 1934404233 1934404241 9781934404232 9781934404249 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028458682 |
| oclc_num | 782879147 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 online resource (671 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Orchard Publications |
| record_format | marc |
| spelling | Karris, Steven T. Verfasser aut Signals and systems with MATLAB Computing and Simulink modeling Steven T. Karris 5th ed Fremont Orchard Publications 2012 1 online resource (671 p.) txt rdacontent c rdamedia cr rdacarrier 2.2.3 Frequency Shifting Property Description based on print version record Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. The initial value and final value theorems are also discussed and proved. It continues with the derivation of the Laplac ... ; 2.1 Definition of the Laplace Transformation; The two-sided or bilateral Laplace Transform pair is defined as; (2.1); (2.2) Where denotes the Laplace transform of the time function, denotes the Inverse Laplace transform, and is a complex variable whose real part is, and imaginary part, that is, .In most problems, we are concerned with values of time greater than some reference time, say, and since the initial conditions are generally known, the two-sided Laplace transform pair of (2.1) and (2.2) simplifies to the unilateral or one-sided Lap ... ; (2.3); (2.4); The Laplace Transform of (2.3) has meaning only if the integral converges (reaches a limit), that is, if; (2.5) To determine the conditions that will ensure us that the integral of (2.3) converges, we rewrite (2.5) as(2.6); The term in the integral of (2.6) has magnitude of unity, i.e., and thus the condition for convergence becomes; (2.7); Fortunately, in most engineering applications the functions are of exponential order. Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... In our subsequent discussion, we will denote transformation from the time domain to the complex frequency domain, and vice versa, as; (2.10); 2.2 Properties and Theorems of the Laplace Transform; The most common properties and theorems of the Laplace transform are presented in Subsections 2.2.1 through 2.2.13 below.; 2.2.1 Linearity Property The linearity property states that ifhave Laplace transforms; respectively, and; are arbitrary constants, then, ; (2.11); Proof:; Note 1:; It is desirable to multiply by the unit step function to eliminate any unwanted non-zero values of for .; 2.2.2 Time Shifting Property; The time shifting property states that a right shift in the time domain by units, corresponds to multiplication by in the complex frequency domain. Thus, ; (2.12); Proof:; (2.13); Now, we let ; then, and . With these substitutions and with, the second integral on the right side of (2.13) is expressed as Written for junior and senior electrical and computer engineering students, this text is an introduction to signal and system analysis, digital signal processing, and the design of analog and digital filters. The text also serves as a self-study guide for professionals who want to review the fundamentals. The expanded fifth edition contains additional information on window functions, the cross correlation and autocorrelation functions, a discussion on nonlinear systems including an example that derives its describing function, as well as additional end-of-chapter exercises MATLAB. SIMULINK. Engineering Mathematics Science Physics SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh SCIENCE / Study & Teaching bisacsh TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh TECHNOLOGY & ENGINEERING / Reference bisacsh MATLAB. fast SIMULINK. fast Signal processing / Mathematics fast System analysis fast Ingenieurwissenschaften Mathematik Naturwissenschaft Signal processing Mathematics System analysis MATLAB (DE-588)4329066-8 gnd rswk-swf Systemanalyse (DE-588)4116673-5 gnd rswk-swf SIMULINK (DE-588)4480546-9 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 s Systemanalyse (DE-588)4116673-5 s SIMULINK (DE-588)4480546-9 s 1\p DE-604 MATLAB (DE-588)4329066-8 s 2\p DE-604 Erscheint auch als Druck-Ausgabe Karris, Steven Signals and Systems : with MATLAB Copmputing and Simulink Modeling http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=443007 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Karris, Steven T. Signals and systems with MATLAB Computing and Simulink modeling Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. The initial value and final value theorems are also discussed and proved. It continues with the derivation of the Laplac ... ; 2.1 Definition of the Laplace Transformation; The two-sided or bilateral Laplace Transform pair is defined as; (2.1); (2.2) Where denotes the Laplace transform of the time function, denotes the Inverse Laplace transform, and is a complex variable whose real part is, and imaginary part, that is, .In most problems, we are concerned with values of time greater than some reference time, say, and since the initial conditions are generally known, the two-sided Laplace transform pair of (2.1) and (2.2) simplifies to the unilateral or one-sided Lap ... ; (2.3); (2.4); The Laplace Transform of (2.3) has meaning only if the integral converges (reaches a limit), that is, if; (2.5) To determine the conditions that will ensure us that the integral of (2.3) converges, we rewrite (2.5) as(2.6); The term in the integral of (2.6) has magnitude of unity, i.e., and thus the condition for convergence becomes; (2.7); Fortunately, in most engineering applications the functions are of exponential order. Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... In our subsequent discussion, we will denote transformation from the time domain to the complex frequency domain, and vice versa, as; (2.10); 2.2 Properties and Theorems of the Laplace Transform; The most common properties and theorems of the Laplace transform are presented in Subsections 2.2.1 through 2.2.13 below.; 2.2.1 Linearity Property The linearity property states that ifhave Laplace transforms; respectively, and; are arbitrary constants, then, ; (2.11); Proof:; Note 1:; It is desirable to multiply by the unit step function to eliminate any unwanted non-zero values of for .; 2.2.2 Time Shifting Property; The time shifting property states that a right shift in the time domain by units, corresponds to multiplication by in the complex frequency domain. Thus, ; (2.12); Proof:; (2.13); Now, we let ; then, and . With these substitutions and with, the second integral on the right side of (2.13) is expressed as Written for junior and senior electrical and computer engineering students, this text is an introduction to signal and system analysis, digital signal processing, and the design of analog and digital filters. The text also serves as a self-study guide for professionals who want to review the fundamentals. The expanded fifth edition contains additional information on window functions, the cross correlation and autocorrelation functions, a discussion on nonlinear systems including an example that derives its describing function, as well as additional end-of-chapter exercises MATLAB. SIMULINK. Engineering Mathematics Science Physics SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh SCIENCE / Study & Teaching bisacsh TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh TECHNOLOGY & ENGINEERING / Reference bisacsh MATLAB. fast SIMULINK. fast Signal processing / Mathematics fast System analysis fast Ingenieurwissenschaften Mathematik Naturwissenschaft Signal processing Mathematics System analysis MATLAB (DE-588)4329066-8 gnd Systemanalyse (DE-588)4116673-5 gnd SIMULINK (DE-588)4480546-9 gnd Signalverarbeitung (DE-588)4054947-1 gnd |
| subject_GND | (DE-588)4329066-8 (DE-588)4116673-5 (DE-588)4480546-9 (DE-588)4054947-1 |
| title | Signals and systems with MATLAB Computing and Simulink modeling |
| title_auth | Signals and systems with MATLAB Computing and Simulink modeling |
| title_exact_search | Signals and systems with MATLAB Computing and Simulink modeling |
| title_full | Signals and systems with MATLAB Computing and Simulink modeling Steven T. Karris |
| title_fullStr | Signals and systems with MATLAB Computing and Simulink modeling Steven T. Karris |
| title_full_unstemmed | Signals and systems with MATLAB Computing and Simulink modeling Steven T. Karris |
| title_short | Signals and systems |
| title_sort | signals and systems with matlab computing and simulink modeling |
| title_sub | with MATLAB Computing and Simulink modeling |
| topic | MATLAB. SIMULINK. Engineering Mathematics Science Physics SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh SCIENCE / Study & Teaching bisacsh TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh TECHNOLOGY & ENGINEERING / Reference bisacsh MATLAB. fast SIMULINK. fast Signal processing / Mathematics fast System analysis fast Ingenieurwissenschaften Mathematik Naturwissenschaft Signal processing Mathematics System analysis MATLAB (DE-588)4329066-8 gnd Systemanalyse (DE-588)4116673-5 gnd SIMULINK (DE-588)4480546-9 gnd Signalverarbeitung (DE-588)4054947-1 gnd |
| topic_facet | MATLAB. SIMULINK. Engineering Mathematics Science Physics SCIENCE / Energy SCIENCE / Mechanics / General SCIENCE / Physics / General MATHEMATICS / Essays MATHEMATICS / Pre-Calculus MATHEMATICS / Reference SCIENCE / Study & Teaching TECHNOLOGY & ENGINEERING / Engineering (General) TECHNOLOGY & ENGINEERING / Reference Signal processing / Mathematics System analysis Ingenieurwissenschaften Mathematik Naturwissenschaft Signal processing Mathematics MATLAB Systemanalyse SIMULINK Signalverarbeitung |
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| work_keys_str_mv | AT karrisstevent signalsandsystemswithmatlabcomputingandsimulinkmodeling |