Topics covered: Representation of aperiodic signals; Discrete-time Fourier transform properties: periodicity, linearity, symmetry, time shifting and frequency shifting, differencing and summation, time and frequency scaling, differentiation in frequency, Parseval’s relation; Convolution and modulation, duality, polar representation; Calculation of frequency and impulse responses; Summary of relationships between continuous-time and discrete-time Fourier series and Fourier transforms.

Instructor: Prof. Alan V. Oppenheim