How the Fourier Transform Works

The Fourier Transform has made a huge contribution to almost every area of audio engineering. From individual filters to full mastering suites; from tuning your guitar to how we store and transmit sound, the Fourier Transform is there ferreting out every bit of frequency information from your time-based audio signal.In this episode, we look at a few examples of how the Fourier Transform has revolutionized the way engineers work with sound.Show Notes for this Episode:https://howthefouriertransformworks.com/podcast/audio-engineering/Course Home Page:https://howthefouriertransformworks.comPatreon Page:https://howthefouriertransformworks.com/patreonJoin the mailing list:https://howthefouriertransformworks.com/mailing-list

Preventative Maintenance is where we monitor the "health" of a system. If something in the system begins to wear out, we can take it offline for maintenance or repair BEFORE something goes seriously wrong.In this podcast, we'll investigate how the Fourier Transform can be used to listen to the health of an airplane's jet engine in much the same way a doctor uses a stethoscope to listen to your heart, a simple, non-invasive procedure that can save lives.I also answer a listener's question on how the Fourier Transform is used in Filter Banks, as well as giving an update on my progress on the "How the Fourier Transform Works" online course.Show Notes for this Episode:https://howthefouriertransformworks.com/preventative-maintenanceCourse Home Page:https://howthefouriertransformworks.comPatreon Page:https://howthefouriertransformworks.com/patreonJoin the mailing list:https://howthefouriertransformworks.com/mailing-list

The Fourier Transform is everywhere. Few are the days in your life where you won't pick up a piece of technology that implements it to provide you with pictures, videos, music, a phone call, and all manner of everyday applications. However, its very ubiquity means we take The Fourier Transform very much for granted and few are the people that really understand how it works. One of the reasons for this may be that, on the face of it, the maths can seem a little complicated.In this episode, we look at what the Fourier Transform is and I describe my own journey from mathematical ignoramus to actually understanding how the Fourier Transform works.Course Homepage: https://howthefouriertransformworks.com/ Podcast email: podcast@howthefouriertransformworks.comSupport the podcast: https://howthefouriertransformworks.com/patreonJoin the mailing list: https://howthefouriertransformworks.com/mailing-list

To view this content, you must be a member of Mark's Patreon at $5 or more - Click "Read more" to unlock this content at the source The post How to understand the output of the FFT appeared first on How the Fourier Transform Works.

To view this content, you must be a member of Mark's Patreon at $5 or more - Click "Read more" to unlock this content at the source The post What is The Discrete Fourier Transform (DFT)? appeared first on How the Fourier Transform Works.