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The function given by the equation x(n)=1, for n=0;=0, for n≠0 is a:
  • a)
    Step function
  • b)
    Ramp function
  • c)
    Triangular function
  • d)
    Impulse function
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The function given by the equation x(n)=1, for n=0;=0, for n≠0 is a...
Explanation: According to the definition of the impulse function, it is defined only at n=0 and is not defined elsewhere which is as per the signal given.
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Most Upvoted Answer
The function given by the equation x(n)=1, for n=0;=0, for n≠0 is a...
>This function is not well-defined for n ≠ 0 or 1. Assuming you meant x(n) = 1 for n = 0, and x(n) = 0 for n ≠ 0, we can say the following:

The function x(n) takes on the value of 1 at n = 0, and the value of 0 for all other values of n.

This function is often called the Kronecker delta function, denoted by δ(n), and is commonly used in signal processing and other areas of mathematics.

One important property of the Kronecker delta function is that it can be used to express other functions as a sum of scaled delta functions. For example, the unit step function u(n) can be expressed as u(n) = δ(n) + δ(n-1) + δ(n-2) + ... + δ(-1).

Overall, the Kronecker delta function is a useful tool for representing discrete signals and simplifying calculations in certain contexts.
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The function given by the equation x(n)=1, for n=0;=0, for n≠0 is a:a)Step functionb)Ramp functionc)Triangular functiond)Impulse functionCorrect answer is option 'D'. Can you explain this answer?
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