Discussion
Match the List I with List II and select the correct answer using the codes given below :
| List I (Function) | List II (Fourier Transform) |
|---|---|
| (a) Impulse | (i) Sin C function |
| (b) Pulse | (ii) Impulse function at zero |
| (c) Sine wave | (iii) Constant function |
| (d) DC/constant signal | (iv) Impulse function at corresponding frequency |
Answer: A
The correct matching is a-iii, b-i, c-iv, d-ii.
- The Fourier transform of an impulse \(\delta(t)\) is a constant, 1, at all frequencies (iii).
- A rectangular pulse transforms to a sinc function (i).
- A sine wave of frequency \(f_0\) transforms to a pair of impulses at \(\pm f_0\), its own frequency (iv).
- A DC or constant signal transforms to a single impulse at zero frequency (ii).
Note the duality: an impulse in time is constant in frequency and a constant in time is an impulse in frequency, so the codes that swap (ii) and (iii) are wrong.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development