Q3: [25pts] A Fourier series is an infinite series representation of a periodic

Question

Q3: [25pts] A Fourier series is an infinite series representation of a periodic signal (i.e, function) in terms of sines and cosines at a fundamental frequency (matching the period of the waveform) and multiples of that frequency. For example, consider a square wave signal of period L given below La La This function can be represented by the Fourier series as -1,3,5 Assume that 0 x 10 (choose the increment rate as 0.005) and L=1, plot the Fourier series approximations to f(x) containing 3, 5, and 10 terms (i.e., n = 3,5, and 10) with respect to x. Use 31

Explanation / Answer

x=0:0.005:10;

f1 = sin(pi*x) + (1/3)*sin(3*pi*x);

f2 = sin(pi*x) + (1/3)*sin(3*pi*x) + (1/5)*sin(5*pi*x);

f3 = sin(pi*x) + (1/3)*sin(3*pi*x) + (1/5)*sin(5*pi*x) + (1/7)*sin(7*pi*x) + (1/9)*sin(9*pi*x);

xlabel('X')

ylabel('f(x)')

Pls rate thumbs up. pls................................

title('n=3')

subplot(3,1,2)

xlabel('X')

ylabel('f(x)')

title('n=5')

xlabel('X')

ylabel('f(x)')

title('n=10')

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.