Match List-I with List-II in regard to Fourier series of periodic f(t) and select the correct answer using the options given below:
| List-I (Properties) | List-II (Characteristics of the trigonometric form) |
| a. f(t) + f(-t) = 0 | 1. Even harmonics can exist |
| b. f(t) - f(-t) = 0 | 2. Odd harmonics can exist |
| c. $${\text{f}}\left( {\text{t}} \right) + {\text{f}}\left( {{\text{t}} - \frac{{\text{T}}}{2}} \right) = 0$$ | 3. The dc and cosine terms can exist |
| d. $${\text{f}}\left( {\text{t}} \right) - {\text{f}}\left( {{\text{t}} - \frac{{\text{T}}}{2}} \right) = 0$$ | 4. sine terms can exist |
| 5. cosine terms of even harmonics can exist |
A. a-4, b-5, c-3, d-1
B. a-3, b-4, c-1, d-2
C. a-5, b-4, c-2, d-3
D. a-4, b-3, c-2, d-1
Answer: Option D
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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