Express the functionf(t)={4cos(9t),0,7≤t<8otherwise𝑓(𝑡)={4cos(9𝑡),7≤𝑡<80,𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒using Heaviside functions.
Question
Solution 1
The Heaviside function, also known as the step function, is defined as:
H(t) = {0 for t < 0, 1 for t ≥ 0}
We can use this function to express the given function f(t) in terms of Heaviside functions. The given function f(t) is defined as 4cos(9t) for 7 ≤ t < 8 and 0 otherwise.
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