The Fourier series is used to express a periodic signal as a combination of sinusoidal waves, meaning that we have a resultant signal that is made up of a combination of those sine waves. The Fourier transform is a formula that is used to transform a signal that was recorded in either time or space to the same signal sampled in the temporal or spatial frequency. Using this we can help find the frequency components of these signals. In real applications, signals can be muddied with noise which can hide their frequency components. The Fourier transform can process out that extra noise to reveal the frequencies thus making the Fourier series very good at filtering noise.
The Fourier Transform can either be f(t) for time or f(x) for time.
ω = angular frequency and is to frequency
by
The units for frequency are usually in Hertz(Hz).
k = wavenumber, it has units of inverse length and is to wavelength
by
References:
Washington, A. J., & Evans, R. (2017). Basic Technical Mathematics with Calculus (11th ed.). Pearson Education (US). https://ecpi.vitalsource.com/books/9780134507095
Links to an external site.
- WE OFFER THE BEST CUSTOM PAPER WRITING SERVICES. WE HAVE DONE THIS QUESTION BEFORE, WE CAN ALSO DO IT FOR YOU.
- Assignment status: Already Solved By Our Experts
- (USA, AUS, UK & CA PhD. Writers)
- CLICK HERE TO GET A PROFESSIONAL WRITER TO WORK ON THIS PAPER AND OTHER SIMILAR PAPERS, GET A NON PLAGIARIZED PAPER FROM OUR EXPERTS
QUALITY: 100% ORIGINAL PAPER – NO PLAGIARISM – CUSTOM PAPER
Why Choose Us?
- 100% non-plagiarized Papers
- 24/7 /365 Service Available
- Affordable Prices
- Any Paper, Urgency, and Subject
- Will complete your papers in 6 hours
- On-time Delivery
- Money-back and Privacy guarantees
- Unlimited Amendments upon request
- Satisfaction guarantee
How It Works
- Click on the “Place Your Order” tab at the top menu or “Order Now” icon at the bottom and a new page will appear with an order form to be filled.
- Fill in your paper’s requirements in the “PAPER DETAILS” section.
- Fill in your paper’s academic level, deadline, and the required number of pages from the drop-down menus.
- Click “CREATE ACCOUNT & SIGN IN” to enter your registration details and get an account with us for record-keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page.
- From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.
About AcademicWritersBay.com
AcademicWritersBay.com is an easy-to-use and reliable service that is ready to assist you with your papers 24/7/ 365days a year. 99% of our customers are happy with their papers. Our team is efficient and will always tackle your essay needs comprehensively assuring you of excellent results. Feel free to ask them anything concerning your essay demands or Order.
AcademicWritersBay.com is a private company that offers academic support and assistance to students at all levels. Our mission is to provide proficient and high quality academic services to our highly esteemed clients. AcademicWritersBay.com is equipped with competent and proficient writers to tackle all types of your academic needs, and provide you with excellent results. Most of our writers are holders of master’s degrees or PhDs, which is an surety of excellent results to our clients. We provide assistance to students all over the world.
We provide high quality term papers, research papers, essays, proposals, theses and many others. At AcademicWritersBay.com, you can be sure of excellent grades in your assignments and final exams.
