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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  n_{o}]
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[n2 ]
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)^{n}x[n], (assume that N is even)
With N even
Consider a discretetime periodic signal
with period N = 10, Also y[n] = x[n]  x[n1]
Que: The fundamental period of y[n] is
y[n] is shown is fig.
It has fundamental period of 10.
Consider a discretetime periodic signal
with period N = 10, Also y[n] = x[n]  x[n1]
Que: The FS coefficients of y[n] are
Consider a discretetime periodic signal
with period N = 10, Also y[n] = x[n]  x[n1]
The FS coefficients of x[n] are
Consider a discretetime 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[k5] + X[k+5]
onsider a discretetime 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 discretetime 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 discretetime 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.
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