Follow me on Linkedin

View Jainul Aslam's profile on LinkedIn

CHAPTER 4 – FOURIER TRANSFORM

05:36    

CHAPTER 4 – FOURIER TRANSFORM



2marks 

1.  Define Fourier Transform Pair.

2.  Define Fourier Cosine Transform Pair.

3.  Define Fourier Sine Transform Pair.

4.  Define Fourier Integral theorem.

5.  Define Finite Fourier Sine & Cosine Transform.

6.  State Convolution theorem.

7.  State Parseval’s identity.

8.  State Modulation theorem.

9.  Prove that Fourier Transform of an even function f(x) is also an even function.

10.  Prove that Fourier Transform of an odd function f(x) is also an odd function.

11.  Define Self Reciprocal of Fourier Transform.

12.   State Linear property of Fourier Transform.

13.   State Shifting property of Fourier Transform.

14.   State Change of Scale property of Fourier Transform.

( STUDY OTHER UNAMED PROPERTY )

15.  Define Fourier Transform of derivatives.

16.   Simple Problems using F C T & F S T .

17.   Simple Problems using Finite F C T & Finite F S T .


( Note : In Fourier Transform, Property/Theorem is more important )

15 Marks :

1. State and Prove Modulation theorem of Fourier Transform.

2. State and Prove Parseval ’ s Identity of Fourier Transform.

3.  State and Prove Convolution theorem of Fourier Transform.

4.  Problems Using Self Reciprocal.

5.  Problems Using Finite Fourier Cosine Transform & Finite Fourier Sine Transform.

6.  Problems Using Parseval’s Identity.

7.  Problems of “ Find fourier Transform of f(x) where f(x) = ____ “ .


Tags :  Sastra University Mathematics Question Bank , Sastra University Mathematics 3 Question Bank , Sastra University Mathematics Question Paper , Sastra University Mathematics 3 Question Paper , Sastra University Maths Question Bank , Sastra University Maths 3 Question Bank , Sastra University Maths Question Paper , Sastra University Maths 3 Question Paper , Sastra  Maths Question Bank , Sastra  Maths 3 Question Bank , Sastra  Maths Question Paper , Sastra  Maths 3 Question Paper , Maths 2 marks material , m3 2 marks material , sastra question paper , sastra university question paper , sastra study material , sastra maths study material , sastra  m 4 study material , Anna University Mathematics Question Bank , Anna University Mathematics 3 Question Bank , Anna University Mathematics Question Paper , Anna University Mathematics 3 Question Paper , Anna University Maths Question Bank , Anna University Maths 3 Question Bank , Anna University Maths Question Paper , Anna University Maths 3 Question Paper , Sastra  Maths Question Bank , Sastra  Maths 3 Question Bank , Sastra  Maths Question Paper , Sastra  Maths 3 Question Paper , Maths 2 marks material , m3 2 marks material , sastra question paper , Anna University question paper , sastra study material , sastra maths study material , sastra  m 4 study material 

a