Explore a comprehensive series of examples demonstrating the application of Fourier Transform, including two-dimensional cases for image processing. Delve into topics such as the Fourier Transform of cosine functions with and without phase shifts, duality principles, transform properties of rectangular and sinc functions, and the transformation of delta function sums. Examine system examples using cosine inputs, gain an introduction to image processing with 2D Fourier Transforms, and investigate the bandwidth of digital clock waveforms. Learn about the Fourier Transform of rectified sinusoids, tackle typical exam questions on transform properties, and understand the practical applications of Fourier Transforms in various fields.