Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Y (t) = x (t/5) is _______a)Compressed signal...
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Y (t) = x (t/5) is _______
- a)Compressed signal
- b)Expanded signal
- c)Time shifted signal
- d)Amplitude scaled signal by factor 1/5
Correct answer is option 'B'. Can you explain this answer?
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Y (t) = x (t/5) is _______a)Compressed signalb)Expanded signalc)Time s...
Explanation:
The given equation is Y(t) = x(t/5), which implies that the output signal Y(t) is obtained by compressing the input signal x(t) by a factor of 5. This means that the signal is scaled down in time, and the time axis is compressed.
Therefore, the correct option is (B) Expanded signal.
Here are some key points to understand:
- The input signal x(t) is compressed by a factor of 5. This means that the time axis is scaled down by a factor of 5.
- The output signal Y(t) is obtained by applying this compression to the input signal.
- Since the time axis is compressed, the signal appears to expand in amplitude. This is because the same amount of signal is now squeezed into a smaller time interval.
- Therefore, the output signal Y(t) is an expanded signal, as compared to the input signal x(t).
In summary, the given equation Y(t) = x(t/5) represents an expanded signal, as the input signal is compressed in time to obtain the output signal.
The given equation is Y(t) = x(t/5), which implies that the output signal Y(t) is obtained by compressing the input signal x(t) by a factor of 5. This means that the signal is scaled down in time, and the time axis is compressed.
Therefore, the correct option is (B) Expanded signal.
Here are some key points to understand:
- The input signal x(t) is compressed by a factor of 5. This means that the time axis is scaled down by a factor of 5.
- The output signal Y(t) is obtained by applying this compression to the input signal.
- Since the time axis is compressed, the signal appears to expand in amplitude. This is because the same amount of signal is now squeezed into a smaller time interval.
- Therefore, the output signal Y(t) is an expanded signal, as compared to the input signal x(t).
In summary, the given equation Y(t) = x(t/5) represents an expanded signal, as the input signal is compressed in time to obtain the output signal.
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Community Answer
Y (t) = x (t/5) is _______a)Compressed signalb)Expanded signalc)Time s...
y (t) = x (at), comparing this with the given expression we get a = 1/5. If 0 < a < 1 then it is expanded (stretched) version of x (t).
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