Discrete Fourier Transform - DFT and FFT

Learn the fundamentals of the Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT) through this comprehensive video series. Explore what DFT and FFT are and understand how the Discrete Fourier Transform relates to real frequencies. Analyze the DFT/FFT of sinusoidal signals and discover how frequency, sample rate, and duration parameters affect the transform results. Gain insight into the relationships between various transform methods including Fourier Series, Fourier Transform, DTFT, DFT, FFT, Laplace Transform, and Z-Transform. Examine practical applications such as OFDM (Orthogonal Frequency Division Multiplexing) and the DFT connection. Understand impulse train sampling of discrete time signals and learn techniques for hiding watermarks in images using transform methods.

Syllabus

What is a Discrete Fourier Transform (DFT) and an FFT?
How does the Discrete Fourier Transform DFT relate to Real Frequencies?
Discrete / Fast Fourier Transform DFT / FFT of a Sinusoid Signal
How do the Frequency, Sample Rate and Duration affect the DFT of a Sinusoid?
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
OFDM and the DFT
Understanding Impulse Train Sampling of Discrete Time Signals
How to Hide a Watermark in an Image