Homework/ For a normalized wave function (x) = Asin (TX), verify the normalizationconstant A for n = 1 and L= 1nm.11

Answered: Homework/ For a normalized wave…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Consider the solution of the following template 1-D wave equation: +c =0 Using a modified FTCS scheme, in which the term u for time discretization is expressed du du Ət dx as u = (1+1), where the index 'i' represents spatial discretization where as the superscript 'n' represents temporal discretization. Examine the numerical stability of this scheme using von- Neumann stability analysis.
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1) Consider the baseband pulse x(1) = n(2) = 11 a) Derive the complex ambiguity function for x(t) and compare your result with the one obtained in class. b) Use MATLAB to compute the complex ambiguity function and compare it to part (a). c) Now, consider the pulse x(t) = sinc(Bt) i) Derive the complex ambiguity function for x(t) and compare to the ambiguity function of the rect pulse. Make your observations. ii) Plot the ambiguity function using the mesh function and using the contour function. iii) Use MATLAB to compute the complex ambiguity function and compare it to part (ii).

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Homework/ For a normalized wave function (x) = Asin (TX), verify the normalization constant A for n = 1 and L= 1nm. 11