Fourier_tra.pdf Fourier Transform. Singularity functions. Spectral Density function. Parseval's Theorem for Energy Signals. Fourier Transforms of some signals. Some FFT properties. Coordinate scaling. Frequency Shifting (Modulation).
Lecture2.pdf Complexity. Fourier Analysis. Applications. Fourier Transform. Discrete Fourier Transform. Fourier Transform Algorithm. FFT. FFT Algorithm. Illustration. Comparison. Complexity of FFT. FFT and bit-shifts. Matrix-Vector multiplication. Fields. Potentials. Examples of fields. Factorization Middle Man Method. Global Factorization. Factorization Trick. Reduction of Complexity. Middleman Scheme. Far Field and near field. Local (regular) expansion. Local expansion of a regular potential. Local expansion of a singular potential.
lecture3.ppt Introduction to reciprocal space. Fourier Transforms. Some simple functions. Area and zero frequency components. 2-Dimensions. Separable. Central Slice theorem. Spatial frequencies. Filtering. Mudulation Transfer Function.