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The discrete time function defined as u(n)=n for n≥0;=0 for n<0 is an:
- a)Unit sample signal
- b)Unit step signal
- c)Unit ramp signal
- d)None of the mentioned
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The discrete time function defined as u(n)=n for n≥0;=0 for n<0 ...
Explanation: When we plot the graph for the given function, we get a straight line passing through origin with a unit positive slope. So, the function is called as unit ramp signal.
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The discrete time function defined as u(n)=n for n≥0;=0 for n<0 ...
≥0 and u(n)=0 for n<0 is="" called="" the="" unit="" step="" function="" or="" the="" heaviside="" function.="" it="" is="" denoted="" by="" u(n)="" or="" u[n].="" in="" other="" words,="" the="" unit="" step="" function="" is="" a="" function="" that="" is="" equal="" to="" zero="" for="" negative="" values="" of="" n,="" and="" equal="" to="" n="" for="" non-negative="" values="" of="">
The unit step function is widely used in engineering and science to represent the onset of a process or event. For example, if we consider a system that starts operating at time zero, we can use the unit step function to model the input signal to the system. Similarly, if we want to model the output of a system that responds to a stimulus at time zero, we can use the unit step function to model the stimulus.
The unit step function has several properties that make it useful in signal processing and control theory. Some of these properties are:
1. Shift-invariance: u(n-k) is the same as u(n) shifted by k units.
2. Linearity: u(n) is a linear function, which means that u(n1 + n2) = u(n1) + u(n2).
3. Time-scaling: u(an) is a scaled version of u(n), where a is a constant.
4. Convolution: The convolution of u(n) with any other discrete-time function is equal to the integral of that function from zero to n.
Overall, the unit step function is an important concept in signal processing and control theory, and is widely used in various applications.
The unit step function is widely used in engineering and science to represent the onset of a process or event. For example, if we consider a system that starts operating at time zero, we can use the unit step function to model the input signal to the system. Similarly, if we want to model the output of a system that responds to a stimulus at time zero, we can use the unit step function to model the stimulus.
The unit step function has several properties that make it useful in signal processing and control theory. Some of these properties are:
1. Shift-invariance: u(n-k) is the same as u(n) shifted by k units.
2. Linearity: u(n) is a linear function, which means that u(n1 + n2) = u(n1) + u(n2).
3. Time-scaling: u(an) is a scaled version of u(n), where a is a constant.
4. Convolution: The convolution of u(n) with any other discrete-time function is equal to the integral of that function from zero to n.
Overall, the unit step function is an important concept in signal processing and control theory, and is widely used in various applications.
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The discrete time function defined as u(n)=n for n≥0;=0 for n<0 is an:a)Unit sample signalb)Unit step signalc)Unit ramp signald)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?
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