Your supervisor asked you to analyse the following signal processing system that exists in an advanced communication system. The transfer function of this system is expressed in the Laplace domain as follows: Y(s)/X(s) = 1 / s^2 - 4. For this system, we are interested in finding the roots of the denominator of H(s). This is needed to find the inverse Laplace transform and to understand the function behaviour in the time domain. However, it's hard to find an analytical solution for high order systems using trivial methods, therefore, you need to solve such systems using numerical methods. Y(s) H(s)= X(s) 1 s2 – 16 Sketch the function of the denominator (s² – 16) and estimate the roots of the sketched function using a graphical estimation method. Find the value of the first root of the denominator using bisection technique with 4 iterations knowing that the first root exists in the interval [3, 5]. Find the value of the first root of the denominator using Newton-Raphson technique with 4 iterations. use x=5 as a starting point). i) ii) i)
Your supervisor asked you to analyse the following signal processing system that exists in an advanced communication system. The transfer function of this system is expressed in the Laplace domain as follows: Y(s)/X(s) = 1 / s^2 - 4. For this system, we are interested in finding the roots of the denominator of H(s). This is needed to find the inverse Laplace transform and to understand the function behaviour in the time domain. However, it's hard to find an analytical solution for high order systems using trivial methods, therefore, you need to solve such systems using numerical methods. Y(s) H(s)= X(s) 1 s2 – 16 Sketch the function of the denominator (s² – 16) and estimate the roots of the sketched function using a graphical estimation method. Find the value of the first root of the denominator using bisection technique with 4 iterations knowing that the first root exists in the interval [3, 5]. Find the value of the first root of the denominator using Newton-Raphson technique with 4 iterations. use x=5 as a starting point). i) ii) i)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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![Task 5:
Your supervisor asked you to analyse the following signal processing system that exists in an
advanced communication system. The transfer function of this system is expressed in the Laplace
domain as follows: Y(s)/X(s) = 1/ s^2 - 4. For this system, we are interested in finding the roots of the
denominator of H(s). This is needed to find the inverse Laplace transform and to understand the
function behaviour in the time domain. However, it's hard to find an analytical solution for high order
systems using trivial methods, therefore, you need to solve such systems using numerical methods.
Y(s)
H(s)=
X(s)
1
s2 – 16
i)
Sketch the function of the denominator (s? – 16) and estimate the roots of the sketched
function using a graphical estimation method.
Find the value of the first root of the denominator using bisection technique with 4
iterations knowing that the first root exists in the interval [3. 5].
Find the value of the first root of the denominator using Newton-Raphson technique with
4 iterations. use x=5 as a starting point).
ii)
i11)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1176ada2-9f8d-4b60-9ef5-1a1714a07e9e%2Fda90ba88-3522-4bca-afef-5b3a4aafc18f%2F4bk678t_processed.png&w=3840&q=75)
Transcribed Image Text:Task 5:
Your supervisor asked you to analyse the following signal processing system that exists in an
advanced communication system. The transfer function of this system is expressed in the Laplace
domain as follows: Y(s)/X(s) = 1/ s^2 - 4. For this system, we are interested in finding the roots of the
denominator of H(s). This is needed to find the inverse Laplace transform and to understand the
function behaviour in the time domain. However, it's hard to find an analytical solution for high order
systems using trivial methods, therefore, you need to solve such systems using numerical methods.
Y(s)
H(s)=
X(s)
1
s2 – 16
i)
Sketch the function of the denominator (s? – 16) and estimate the roots of the sketched
function using a graphical estimation method.
Find the value of the first root of the denominator using bisection technique with 4
iterations knowing that the first root exists in the interval [3. 5].
Find the value of the first root of the denominator using Newton-Raphson technique with
4 iterations. use x=5 as a starting point).
ii)
i11)
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