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GATE 2024 Signals & Systems Rank Booster Quiz 29
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Question 1
The Fourier series coefficients of a continuous time periodic signal
is given as follows
Find the numerical value of the power of the signal
.
![](https://gradeup-question-images.grdp.co/liveData/PROJ17800/1530944436118496.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ17800/1530944436826696.png)
Find the numerical value of the power of the signal
![](https://gradeup-question-images.grdp.co/liveData/PROJ17800/1530944437576262.png)
Question 2
Consider the following continuous time signal x(t)
If Ck is the complex Fourier series coefficient of signal x(t). Then the value of |C2| will be
Question 3
A real valued continuous time x(t) has a fundamental period T = 8. The non-zero Fourier series coefficients for x(t) are:
Question 4
Given the unilateral Z-transform
The initial and final value of x(n) are respectively.
![](https://gradeup-question-images.grdp.co/liveData/PROJ34666/1569223461097121.png)
Question 5
If x(z) is z-transform of
, then ROC of X(z) will be
![](https://gradeup-question-images.grdp.co/liveData/PROJ32098/1574931983841954.png)
Question 6
Consider the signal given below.
Find the z-transform of the above signal.
Question 7
A continuous-time periodic signal x(t) is real-valued and has a fundamental period T = 16. The non-zero Fourier series coefficient for x(t) signal are :
Which of the following signal represents the continuous time periodic signal for these coefficients ?
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Dec 14ESE & GATE EC