The loyalty of customers to a business is called
2 answers:
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Answer:
x(t) = −2 cos ( −
) + 4 cos (
)
Explanation:
Given:
Fundamental period of real valued continuous-time periodic signal x(t) = T = 8
Non-zero Fourier series coefficients for x(t) :
a₁ = = j
a₅ = = 2
To find:
Express x(t) in the form
∞
x(t) = ∑ A cos ( w
t + φ
)
Solution:
Compute fundamental frequency of the signal:
w₀ = 2 π / T
= 2 π / 8 Since T = 8
w₀ = π / 4
∞
∑
x(t) = k=⁻∞
=
=
= −2 sin ( ) + 4 cos (
)
= −2 cos ( −
) + 4 cos (
)