[amp_mcq option1=”Odd harmonics” option2=”Even harmonics” option3=”Cosine terms” option4=”Sine terms” correct=”option1″]<\/p>\n
The correct answer is A. Odd harmonics.<\/p>\n
A Fourier series is a way to represent a periodic function as a sum of sine and cosine waves of different frequencies. The frequencies of these waves are integer multiples of the fundamental frequency of the function.<\/p>\n
An odd periodic function is a function that is symmetric about its midline, meaning that $f(-x) = -f(x)$ for all $x$. The Fourier series of an odd periodic function contains only odd harmonics, which are sine waves with frequencies that are odd multiples of the fundamental frequency.<\/p>\n
For example, the function $f(x) = x$ is an odd periodic function with fundamental frequency $1$. The Fourier series of $f(x)$ is<\/p>\n
$$f(x) = \\frac{1}{2} + \\frac{1}{2} \\sum_{n=1}^{\\infty} \\frac{(-1)^{n-1}}{n} \\sin(n \\pi x).$$<\/p>\n
The first term in the Fourier series is a constant term, which represents the average value of $f(x)$. The other terms are sine waves with frequencies that are odd multiples of the fundamental frequency.<\/p>\n
The Fourier series can be used to represent a wide variety of periodic functions. It is a powerful tool that can be used to analyze and understand periodic phenomena.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”Odd harmonics” option2=”Even harmonics” option3=”Cosine terms” option4=”Sine terms” correct=”option1″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[959],"tags":[],"class_list":["post-48280","post","type-post","status-publish","format-standard","hentry","category-signal-processing","no-featured-image-padding"],"yoast_head":"\n