The function given by the equation x(n)=1, for n=0 and x(n)=0, for n≠0 is a 1 pointStep functionImpulse functionRamp functionTriangular function
Question
The function given by the equation x(n)=1, for n=0 and x(n)=0, for n≠0 is a 1 pointStep functionImpulse functionRamp functionTriangular function
Solution
The function given by the equation x(n)=1, for n=0 and x(n)=0, for n≠0 is an Impulse function.
Here's why:
An impulse function, also known as the Dirac delta function, is a mathematical function that is zero everywhere except at zero. The function is defined as follows:
x(n) = 1, for n = 0 x(n) = 0, for n ≠ 0
This is exactly the definition given in the question, so the function is an impulse function.
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