Principles of Signals and Systems. Instructor: Prof. Aditya K. Jagannatham, Department of Electrical Engineering, IIT Kanpur. This course is introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication and control systems. Hence, a sound understanding of these principles is necessary for all students of Electronics and Communication engineering (ECE), Electrical and Electronics Engineering (EEE), and Instrumentation Engineering (IE). The course will cover various basic tools of signal and system analysis such as signal classification, LTI systems, Properties of LTI Systems, Frequency Response, Laplace Transform, Z-Transform, Fourier Transform, Fourier Series, Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT), Cascade/ Parallel structures and their various practical applications. Various concepts such as convolution, impulse/ frequency response, causality, stability of systems will be especially emphasized. Other additional topics such as state space techniques and solutions to state space equations will also be covered.
(from nptel.ac.in)
Lecture 61 - Discrete Fourier Transform Properties - Conjugation, Frequency Shift, Duality, etc.
Concepts covered in this lecture: Discrete Fourier Transform Properties - 1. Conjugation 2. Frequency Shift 3. Duality 4. Circular Convolution 5. Multiplication 6. Parseval's Relation 7. Example Problems for Fourier Analysis of Discrete Time Signals.