Search for tag: "elee08021"

Sensor Networks and Data Analysis Overview for New Students (SNADA, 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…

From  James Hopgood 0 likes 96 plays 0  

Topic 46: Introduction to Discrete-Time Signals (SNADA, Chapter 8)

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…

From  James Hopgood 1 likes 142 plays 0  

Topic 45: Sampling a Sinusoid (SNADA, Chapter 8)

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…

From  James Hopgood 0 likes 283 plays 0  

Topic 44: Under-sampling and Practical Data Systems (SNADA, Chapter 8)

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…

From  James Hopgood 2 likes 268 plays 1  

Topic 43: Perfect Sampling, Derivation of Sampling Theorem, and Adequate Sampling (SNADA, Chapter 8)

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…

From  James Hopgood 0 likes 369 plays 0  

Topic 42: Introduction to Nyquist Sampling Theory (SNADA, Chapter 8)

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…

From  James Hopgood 1 likes 372 plays 0  

Optional Topic 41: Fourier Transform of a Fourier Series (SNADA, Chapter 7)

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…

From  James Hopgood 0 likes 201 plays 0  

Topic 40: The Impulse Train and its Fourier Spectrum (SNADA, Chapter 7)

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…

From  James Hopgood 2 likes 965 plays 0  

Topic 39: Multiplying by an Impulse, and the Sifting Theorem (SNADA, Chapter 7)

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…

From  James Hopgood 1 likes 258 plays 0  

Topic 0C: Mid-course recap and future directions.

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…

From  James Hopgood 1 likes 133 plays 0  

Topic 37: Fourier Transform Properties: Parseval's Theorem for non-periodic Signals (Chapter 6)

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…

From  James Hopgood 1 likes 378 plays 0  

Topic 35: Fourier Transform Properties: Shift-in-frequency theorem (SNADA, Chapter 6)

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…

From  James Hopgood 2 likes 320 plays 0  

Topic 34: Fourier Transform Properties: Scale-in-time and Shift-in-time (SNADA, Chapter 6)

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…

From  James Hopgood 1 likes 350 plays 0  

Topic 33: Fourier Transform Properties: Conjugation, Linearity, Duality (SNADA, Chapter 6)

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…

From  James Hopgood 0 likes 411 plays 0  

Topic 32: The Fourier Transform and Example Calculations (SNADA, Chapter 6)

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…

From  James Hopgood 0 likes 425 plays 0  

Optional Topic 31: Mathematical Development of the Fourier Transform from Complex Fourier Series (SNADA, Chapter 6)

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…

From  James Hopgood 0 likes 276 plays 0