Why do we use the Fourier Transform?
0:59
YouTubeMark Newman
Why do we use the Fourier Transform?
The Fourier Transform is everywhere, but what does it do and why is it so useful? Here is just one example of its many applications. For a comprehensive and visually intuitive exploration of the Fourier Transform and its workings, I invite you to explore my book series on the Fourier Transform available at: https://www.amazon.com/dp/B0BSJJ69Z1 ...
74.9K viewsFeb 20, 2023
Fourier Series Animation
Fourier series allow us to represent periodic functions as infinite sums of sine and cosine terms. Remarkably, they can approximate discontinuous functions like the square wave with increasing accuracy as more terms are added. This method reveals deep connections between analysis and signal processing, and is widely used in physics, engineering, and audio synthesis. تمكننا متسلسلات فورييه من تمثيل الدوال الدورية كمجموع لا نهائي من حدود الجيب وجيب التمام. ومن المدهش أنها تستطيع تقريب دوال غير مست
Fourier series allow us to represent periodic functions as infinite sums of sine and cosine terms. Remarkably, they can approximate discontinuous functions like the square wave with increasing accuracy as more terms are added. This method reveals deep connections between analysis and signal processing, and is widely used in physics, engineering, and audio synthesis. تمكننا متسلسلات فورييه من تمثيل الدوال الدورية كمجموع لا نهائي من حدود الجيب وجيب التمام. ومن المدهش أنها تستطيع تقريب دوال غير مست
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