MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the energy density spectrum of the signal x(n)=anu(n), |a|<1? |
| A. | \(\frac{1}{1+2acosω+a^2}\) |
| B. | \(\frac{1}{1-2acosω+a^2}\) |
| C. | \(\frac{1}{1-2acosω-a^2}\) |
| D. | \(\frac{1}{1+2acosω-a^2}\) |
| Answer» C. \(\frac{1}{1-2acosω-a^2}\) | |
| 2. |
What is the Fourier transform of the signal x(n)=a|n|, |a|<1? |
| A. | \(\frac{1+a^2}{1-2acosω+a^2}\) |
| B. | \(\frac{1-a^2}{1-2acosω+a^2}\) |
| C. | \(\frac{2a}{1-2acosω+a^2}\) |
| D. | None of the mentioned |
| Answer» C. \(\frac{2a}{1-2acosω+a^2}\) | |
| 3. |
If x(n)=A, -M |
| A. | A\(\frac{sin(M-\frac{1}{2})ω}{sin(\frac{ω}{2})}\) |
| B. | A2\(\frac{sin(M+\frac{1}{2})ω}{sin(\frac{ω}{2})}\) |
| C. | A\(\frac{sin(M+\frac{1}{2})ω}{sin(\frac{ω}{2})}\) |
| D. | \(\frac{sin(M-\frac{1}{2})ω}{sin(\frac{ω}{2})}\) |
| Answer» D. \(\frac{sin(M-\frac{1}{2})ω}{sin(\frac{ω}{2})}\) | |
| 4. |
What is the value of |X(ω)| given X(ω)=1/(1-ae-jω), |a|<1? |
| A. | \(\frac{1}{\sqrt{1-2acosω+a^2}}\) |
| B. | \(\frac{1}{\sqrt{1+2acosω+a^2}}\) |
| C. | \(\frac{1}{1-2acosω+a^2}\) |
| D. | \(\frac{1}{1+2acosω+a^2}\) |
| Answer» B. \(\frac{1}{\sqrt{1+2acosω+a^2}}\) | |
| 5. |
What is the value of XI(ω) given \(\frac{1}{1-ae^{-jω}}\), |a|<1? |
| A. | \(\frac{asinω}{1-2acosω+a^2}\) |
| B. | \(\frac{1+acosω}{1-2acosω+a^2}\) |
| C. | \(\frac{1-acosω}{1-2acosω+a^2}\) |
| D. | \(\frac{-asinω}{1-2acosω+a^2}\) |
| Answer» E. | |
| 6. |
What is the value of XR(ω) given X(ω)=\(\frac{1}{1-ae^{-jω}}\),|a|<1? |
| A. | \(\frac{asinω}{1-2acosω+a^2}\) |
| B. | \(\frac{1+acosω}{1-2acosω+a^2}\) |
| C. | \(\frac{1-acosω}{1-2acosω+a^2}\) |
| D. | \(\frac{-asinω}{1-2acosω+a^2}\) |
| Answer» D. \(\frac{-asinω}{1-2acosω+a^2}\) | |
| 7. |
If x(n) is a real signal, then x(n)=\(\frac{1}{π}\int_0^π\)[XR(ω) cosωn- XI(ω) sinωn] dω. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 8. |
If x(n) is a real sequence, then what is the value of XI(ω)? |
| A. | \(\sum_{n=-∞}^∞ x(n)sin(ωn)\) |
| B. | –\(\sum_{n=-∞}^∞ x(n)sin(ωn)\) |
| C. | \(\sum_{n=-∞}^∞ x(n)cos(ωn)\) |
| D. | –\(\sum_{n=-∞}^∞ x(n)cos(ωn)\) |
| Answer» C. \(\sum_{n=-∞}^∞ x(n)cos(ωn)\) | |
| 9. |
If x(n)=xR(n)+jxI(n) is a complex sequence whose Fourier transform is given as X(ω)=XR(ω)+jXI(ω), then what is the value of xI(n)? |
| A. | \(\frac{1}{2π} \int_0^{2π}\)[XR(ω) sinωn+ XI(ω) cosωn] dω |
| B. | \(\int_0^{2π}\)[XR(ω) sinωn+ XI(ω) cosωn] dω |
| C. | \(\frac{1}{2π} \int_0^{2π}\)[XR(ω) sinωn – XI(ω) cosωn] dω |
| D. | None of the mentioned |
| Answer» B. \(\int_0^{2π}\)[XR(ω) sinωn+ XI(ω) cosωn] dω | |
| 10. |
If x(n)=xR(n)+jxI(n) is a complex sequence whose Fourier transform is given as X(ω)=XR(ω)+jXI(ω), then what is the value of XR(ω)? |
| A. | \(\sum_{n=0}^∞\)xR (n)cosωn-xI (n)sinωn |
| B. | \(\sum_{n=0}^∞\)xR (n)cosωn+xI (n)sinωn |
| C. | \(\sum_{n=-∞}^∞\)xR (n)cosωn+xI (n)sinωn |
| D. | \(\sum_{n=-∞}^∞\)xR (n)cosωn-xI (n)sinωn |
| Answer» D. \(\sum_{n=-∞}^∞\)xR (n)cosωn-xI (n)sinωn | |