Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Time scaling is an operation performed on ___...
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Time scaling is an operation performed on _______
- a)Dependent variable
- b)Independent variable
- c)Both dependent and independent variable
- d)Neither dependent nor independent variable
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Time scaling is an operation performed on _______a)Dependent variableb...
Time scaling is an example for operations performed on independent variable time.
It is given by y (t) = x (at).
It is given by y (t) = x (at).
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Time scaling is an operation performed on _______a)Dependent variableb...
Time Scaling in Signal Processing
Time scaling is an operation performed on the independent variable in signal processing. This operation involves changing the scale or speed at which the independent variable, typically time, progresses in a signal.
Explanation:
- Operation on Independent Variable: Time scaling involves changing the rate at which the independent variable progresses, while the dependent variable remains unchanged. This means that the values of the dependent variable at different time instances are affected by the scaling operation on the independent variable.
- Effect on Signal: Time scaling affects the duration and speed of a signal without altering its shape or magnitude. It can compress or expand the signal in time domain, leading to changes in the signal's duration.
- Mathematical Representation: Time scaling is typically represented by a scaling factor applied to the independent variable. For instance, if the original time variable is t, the scaled time variable could be represented as αt, where α is the scaling factor.
- Application: Time scaling is commonly used in signal processing for various purposes such as speeding up or slowing down the playback of audio or video signals, adjusting the duration of a signal for analysis, or modifying the time axis for visualization.
In conclusion, time scaling is an important operation in signal processing that involves modifying the progression of the independent variable, typically time, in a signal while keeping the dependent variable unchanged. This operation allows for adjustments in the duration and speed of signals without altering their fundamental characteristics.
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Time scaling is an operation performed on _______a)Dependent variableb)Independent variablec)Both dependent and independent variabled)Neither dependent nor independent variableCorrect answer is option 'B'. Can you explain this answer?
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