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EBME 308 Fall 2026 – Quiz 7 With 100% accurate
solutions 2026 - Case Western Reserve University
_________
Find the Exponential Fourier Series (EFS) for the signal shown below. Hint: Choose and integrate over the
simplest period 𝑡𝑡1 ≤ 𝑡𝑡 ≤ 𝑡𝑡1 + 𝑇𝑇0.
a. (1 pt) Find 𝜔0
𝜔
b. (5 pt) Find and simplify 𝐷𝐷𝑛𝑛. There should be NO 𝑒𝑒𝑗𝑗 components in your answer.
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c. (2 pts) Find 𝐷𝐷0. If 𝐷𝐷0
Hints: 𝑒𝑒±𝑗𝑗𝑛𝑛𝑗𝑗 = cos(𝑛𝑛𝑡𝑡) ± 𝑗𝑗sin(𝑛𝑛𝑡𝑡); 𝑒𝑒𝑗𝑗𝑗𝑗 = 𝑒𝑒−𝑗𝑗𝑗𝑗 = −1; 𝑒𝑒𝑗𝑗2𝑗𝑗 = 𝑒𝑒𝑗𝑗0 = +1;
is 0, write down the integral expression and state why it is zero.
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EBME 308 Fall 2026 – Quiz 7 With 100% accurate
solutions 2026 - Case Western Reserve University
_________
Find the Exponential Fourier Series (EFS) for the signal shown below. Hint: Choose and integrate over the
simplest period 𝑡𝑡1 ≤ 𝑡𝑡 ≤ 𝑡𝑡1 + 𝑇𝑇0.
a. (1 pt) Find 𝜔0
𝜔
b. (5 pt) Find and simplify 𝐷𝐷𝑛𝑛. There should be NO 𝑒𝑒𝑗𝑗 components in your answer.
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c. (2 pts) Find 𝐷𝐷0. If 𝐷𝐷0
Hints: 𝑒𝑒±𝑗𝑗𝑛𝑛𝑗𝑗 = cos(𝑛𝑛𝑡𝑡) ± 𝑗𝑗sin(𝑛𝑛𝑡𝑡); 𝑒𝑒𝑗𝑗𝑗𝑗 = 𝑒𝑒−𝑗𝑗𝑗𝑗 = −1; 𝑒𝑒𝑗𝑗2𝑗𝑗 = 𝑒𝑒𝑗𝑗0 = +1;
is 0, write down the integral expression and state why it is zero.
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