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The discrete timefourier transform for the given signal x[n]  u[n] is
where A is constant
The Fourier transform of odd real sequences must be purely imagenary, thus A = π
The discrete time Fourier coefficients x[k] of the signal x [n ] =
The zero state respone y(k) for input f(k) = (0.8)^{k} u(k) is
Consider a signal x(n) with following factors:
1. x(n) is real and even signal
2. The period of x(n) is N = 10
3. x(11) = 5
The signal x(n) is
Consider a discrete time signal x(n) = {1, 2, 3, 2, 1} value of ∠x(e^{iω}) is equal to
A low pass filter with impulse response h_{1}(n) has spectrum H_{1} (e^{iω}) shown below.
Here only one period has been shown by reversing every second sign of h_{1}(n) a new filter having impulse response h_{2}(t) is created. The spectrum of H_{2}(e^{iω}) is given by
A red signal x[n] with Fourier transform x(e^{iΩ}) has following property:
1. x[n] = 0 for, n > 0
2. x [ 0] > 0
The signal x[n] is
A causal and stable LTI system has the property that,
The frequency response H(e^{iΩ}) for this system is
A 5point sequence x[n] is given as 4 [ 3] = 1, x[  2] = 1, x[ 1 ] = 0 . x[0] = 5 , x[1]  1
Let x(e^{iω}) denote the discrete time fourier transform of x[n].
The value of
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