Test: The Discrete -Time Fourier Series
15 Questions MCQ Test GATE ECE (Electronics) 2023 Mock Test Series | Test: The Discrete -Time Fourier Series
Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Que: y[n] = x[ n - no]
Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
y[n] = x[n] - x[n-2 ]
Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Que: y[n] = x[n] + x[n + N/2 ] , (assume that N is even)
Note that y[n] = x[n] + x[n + N/2 ] has a period of N/2 and N has been assumed to be even,
Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Que: y[n] = x[n] - x[n + N/2 ] , (assume that N is even)
Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
Que: y[n] = x*[-n]
y[n] = x*[-n]
Consider a periodic signal x[n] with period N and FS coefficients X [k]. Determine the FS coefficients Y [k] of the signal y[n] given in question.
y[n] = (-1)nx[n], (assume that N is even)
With N even
Consider a discrete-time periodic signal
with period N = 10, Also y[n] = x[n] - x[n-1]
Que: The fundamental period of y[n] is
y[n] is shown is fig.
It has fundamental period of 10.
Consider a discrete-time periodic signal
with period N = 10, Also y[n] = x[n] - x[n-1]
Que: The FS coefficients of y[n] are
Consider a discrete-time periodic signal
with period N = 10, Also y[n] = x[n] - x[n-1]
The FS coefficients of x[n] are
Consider a discrete-time signal with Fourier representation.
In question the FS coefficient Y [k] is given. Determine the corresponding signal y[n] and choose correct option.
Que: Y[k] = X[k-5] + X[k+5]
onsider a discrete-time signal with Fourier representation.
In question the FS coefficient Y [k] is given. Determine the corresponding signal y[n] and choose correct option.
Que: 
Consider a discrete-time signal with Fourier representation.
In question the FS coefficient Y [k] is given. Determine the corresponding signal y[n] and choose correct option.
Que: Y[k] = X[k]*X[k]
Consider a discrete-time signal with Fourier representation.
In question the FS coefficient Y [k] is given. Determine the corresponding signal y[n] and choose correct option.
Que: Y[k] = Re{X[k]}
A real and odd periodic signal x[n] has fundamental period N = 7 and FS coefficients X [k]. Given that X [15] = j, X [16] = 2j, X [17] = 3j. The values of X [0],X [-1], X [-2], and X [ -3] will be
Since the FS coefficient repeat every N. Thus
X[1] = X[15], X[2] = X[16], X[3] = X[17]
The signal real and odd, the FS coefficient X[k] will be purely imaginary and odd. Therefore X[0] = 0 X[-1] = -X[1], X[-2] = -X[2], X[-3] = -X[-3]
Therefore (D) is correct option.
Consider a signal x[n] with following facts
1. x[n] is a real and even signal
2. The period of x[n] is N = 10
3. X [11] = 5
Since N = 10, X[11] = X[1] = 5
Since x[n] is real and even X[k] is also real and even.
Therefore X[1] = X[-1] = 5.
 |
Use Code STAYHOME200 and get INR 200 additional OFF
|
Use Coupon Code |
Recommended Content
 |
|
 |
|
 |
|
 |
 |
|
Recommended Tests
 |
|
|
|
|
|
|
|
|
|
Download free EduRev App
Similar Content
|
|
 |
|
 |
|
|
|
Related tests
|
|
|
|
|
|
|
|
|
|
|
© EduRev
|
Follow Us
|