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This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.
1. |
If the signal x(t) is even, what will be the fourier series coefficients? |
A. | Real and even |
B. | Odd |
C. | Real only |
D. | Imaginary and odd |
Answer» E. | |
2. |
If the signal x(t) is odd, what will be the fourier series soeffiients? |
A. | Real and even |
B. | Odd |
C. | Real only |
D. | Real and odd |
Answer» B. Odd | |
3. |
What is the complex conjugate property of a fourier series? |
A. | It leads to convolution |
B. | It leads to time reversal |
C. | It leads to multiplication |
D. | It leads to addition of signals |
Answer» C. It leads to multiplication | |
4. |
What is the smoothing operation? |
A. | Differentiation property |
B. | Multiplication property |
C. | Integration property |
D. | Conjugation property |
Answer» D. Conjugation property | |
5. |
What is the integration property of the continuous time fourier series? |
A. | y(t) Y<sub>n</sub> = 1/jnwX<sub>n</sub> |
B. | y(t) Y<sub>n</sub> = 1/jwX<sub>n</sub> |
C. | y(t) Y<sub>n</sub> = 1/jnX<sub>n</sub> |
D. | y(t) Y<sub>n</sub> = 1/jnw |
Answer» B. y(t) Y<sub>n</sub> = 1/jwX<sub>n</sub> | |
6. |
What is the fourier series coefficient for n=0? |
A. | Zero |
B. | Unity |
C. | Depends on the situation |
D. | Non zero positive |
Answer» B. Unity | |
7. |
What is the differentiation property of continuous time fourier series? |
A. | Y<sub>n</sub> = jnwtX<sub>n</sub> |
B. | Y<sub>n</sub> = jntX<sub>n</sub> |
C. | Y<sub>n</sub> = jnwX<sub>n</sub> |
D. | X<sub>n</sub> = jnwtX<sub>n</sub> |
Answer» D. X<sub>n</sub> = jnwtX<sub>n</sub> | |
8. |
What is the multiplication property of continuous time fourier series? |
A. | Convolution of the signals |
B. | Multiplication of the elements of the signal |
C. | Division of the frequency domain |
D. | Addition of the signals in frequency domain |
Answer» B. Multiplication of the elements of the signal | |
9. |
What is the outcome of a periodic convolution of signals in case of continuous time fourier series? |
A. | Division in frequency domain |
B. | Multiplication in frequency domain |
C. | Convolution is easier |
D. | Addition of signals in frequency domain |
Answer» C. Convolution is easier | |
10. |
Can continuous time fourier series undergo periodic convolution? |
A. | They cannot undergo periodic convoluion |
B. | They can undergo in certain situations |
C. | They undergo periodic convolution |
D. | Only even signals undergo periodic convolution |
Answer» D. Only even signals undergo periodic convolution | |