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The given mathematical representation belongs to:
y(t) = x(t - T)
y(t) = x(t - T)
- a)time multiplication
- b)time division
- c)time scaling
- d)time reversal
- e)time shifting
Correct answer is option 'E'. Can you explain this answer?
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Most Upvoted Answer
The given mathematical representation belongs to:y(t) = x(t - T)a)time...
Time-shifting property: When a signal is shifted in time domain it is said to be delayed or advanced based on whether the signal is shifted to the right or left.
For example:
For example:
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Community Answer
The given mathematical representation belongs to:y(t) = x(t - T)a)time...
Explanation:
Time Shifting:
- The given mathematical representation y(t) = x(t - T) involves a time shift parameter T.
- Time shifting refers to a transformation in which a signal is shifted along the time axis by a certain amount.
Understanding the Representation:
- In this case, the input signal x(t) is being shifted by a time delay of T units to obtain the output signal y(t).
- The parameter T determines the amount of shift applied to the input signal.
Interpretation:
- When the input signal x(t) is shifted to the right by T units, the output signal y(t) will be delayed by T units compared to the original signal.
- This time shift affects the entire waveform of the signal, causing it to be shifted in time.
Significance of Time Shifting:
- Time shifting is a fundamental operation in signal processing and is used in various applications such as filtering, modulation, and synchronization.
- It allows signals to be aligned or synchronized in time to perform operations such as correlation, convolution, and signal analysis.
Conclusion:
- Therefore, the given mathematical representation y(t) = x(t - T) corresponds to time shifting, where the input signal x(t) is shifted by a time delay of T units to obtain the output signal y(t).
Time Shifting:
- The given mathematical representation y(t) = x(t - T) involves a time shift parameter T.
- Time shifting refers to a transformation in which a signal is shifted along the time axis by a certain amount.
Understanding the Representation:
- In this case, the input signal x(t) is being shifted by a time delay of T units to obtain the output signal y(t).
- The parameter T determines the amount of shift applied to the input signal.
Interpretation:
- When the input signal x(t) is shifted to the right by T units, the output signal y(t) will be delayed by T units compared to the original signal.
- This time shift affects the entire waveform of the signal, causing it to be shifted in time.
Significance of Time Shifting:
- Time shifting is a fundamental operation in signal processing and is used in various applications such as filtering, modulation, and synchronization.
- It allows signals to be aligned or synchronized in time to perform operations such as correlation, convolution, and signal analysis.
Conclusion:
- Therefore, the given mathematical representation y(t) = x(t - T) corresponds to time shifting, where the input signal x(t) is shifted by a time delay of T units to obtain the output signal y(t).
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The given mathematical representation belongs to:y(t) = x(t - T)a)time multiplicationb)time divisionc)time scalingd)time reversale)time shiftingCorrect answer is option 'E'. Can you explain this answer?
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