An LSI imaging system produces an image g(x, y) = f (x,y) * h(x, y), where the "*" a 2-D convolution. When the object is a line impulse, f(s,y) = 8(x), show that the resulting image (LSF) is given by: is 1(x) = | h(x,n)dn Note: f(t,n) does not depend on n. Given that we are integrating over goes from-∞ to + ∞, it does not matter whether the integrand is h(x, y – n) or h(x,n).

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
icon
Related questions
Question

An LSI imaging system produces an image ?(?,?)=?(?,?)∗ℎ(?,?), where the “*” is a 2-D convolution. When the object is a line impulse, ?(?,?)=?(?), show that the resulting image (LSF) is given by:

1(x) = | ht
An LSI imaging system produces an image g(x, y) = f(x, y) * h(x, y), where the *"
a 2-D convolution. When the object is a line impulse, f(s,y) = 8(x), show that the
resulting image (LSF) is given by:
is
h (x, η) dη
Note: f(T, n) does not depend on ŋ. Given that we are integrating over goes
from-o to + o, it does not matter whether the integrand is h(x, y –- n) or h(x,ŋ).
Transcribed Image Text:1(x) = | ht An LSI imaging system produces an image g(x, y) = f(x, y) * h(x, y), where the *" a 2-D convolution. When the object is a line impulse, f(s,y) = 8(x), show that the resulting image (LSF) is given by: is h (x, η) dη Note: f(T, n) does not depend on ŋ. Given that we are integrating over goes from-o to + o, it does not matter whether the integrand is h(x, y –- n) or h(x,ŋ).
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Logic Gate and Its Application
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,