Search for tag: "elee08021"

This video introduces students to the Sensor Networks and Data Analysis course. It discusses, at a high level, what a sensor network is, and various applications across the disciplines, from…

This Topic is a very brief introduction to the idea of native discrete-time signals, created as sequence of numbers, rather than viewed as a discrete-time representation of an underlying…

This Topic uses the sampling theory developed in the previous topics to analyse what happens when a pure sinusoid is sampled. The Topic considers two approaches: a time-domain and a…

This Topic considers the concept of aliasing, which is signal distortion due to the spectral overlap of the spectral images that result from the sampling process. This Topic discusses the…

This Topic begins by discussing the mathematical model of perfect sampling, namely multiplying the signal (that is to be sampled) by an impulse train. Using this model, the Topic discusses how to…

This Topic introduces the concept of a sampled data system, which aims to measure and store values from a continuous-time signal to produce a discrete-time representation. The video emphasis that…

This Topic reconciles the Fourier Series and Fourier Transform, by bringing the analysis techniques together through considering the Fourier Transform of a Fourier Series, using the definition of…

This Topic introduces the concept of the impulse train, a sequence of Dirac delta impulses, which can be used to perform regular sampling of a signal. The impulse train is fundamental to Nyquist…

This Topic continues discussing important signals that are needed to complete the mathematical framework of Fourier analysis and sampling theory. After revising the limiting operation to obtain…

This video provides a recap of what this course is considering, why it considered particular techniques, and what is coming up in terms of the signal analysis. The video describes the importance of…

This Topic revisits measuring the size of a signal, but rather than doing this in the time-domain, it is now considered in the frequency-domain. By considering the natural size of a signal's…

In this Topic, the shift-in-frequency theorem is investigated, and its importance in communication theory as well as sampling theory is highlighted. The duality between the shift-in-time and…

This Topic considers two time-domain Fourier transform properties, namely how the spectrum is effected is a signal is scaled-in-time or shifted-in-time. The scale-in-time theorem is important as…

This Topic introduces the benefits of understanding and using the various properties of the Fourier transform, including simplifying the analysis of signals, as well as conceptual insights that…

This Topic provides the definition of the Fourier transform, for analysing continuous-time non-periodic signals. The Topic provides the standard Engineering definition, alongside definitions…

In this optional Topic, a mathematical derivation is presented for developing the Fourier transform as the limiting operation of taking the complex Fourier series, and letting the period of the…