Lecture 1 - Introduction to Signals

Lecture 1 - Introduction to Signals - Aims and Objectives !...

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Lecture 1 Slide 1 PYKC Jan-7-10 E2.5 Signals & Linear Systems E 2.5 Signals & Linear Systems Peter Cheung Department of Electrical & Electronic Engineering Imperial College London URL: www.ee.ic.ac.uk/pcheung/ E-mail: p.cheung@ic.ac.uk Lecture 1 Slide 2 PYKC Jan-7-10 E2.5 Signals & Linear Systems ! By the end of the course, you would have understood: Basic signal analysis (mostly continuous-time) Basic system analysis (also mostly continuous systems) Time-domain analysis (including convolution) Laplace Transform and transfer functions Fourier Series (revision) and Fourier Transform Sampling Theorem and signal reconstructions Basic z-transform Aims and Objectives Lecture 1 Slide 3 PYKC Jan-7-10 E2.5 Signals & Linear Systems About the course ! Lectures - around 9 weeks (15-17 hours) ! Problem Classes – 1 hr per week ! Official Hours – 2 hrs per week (taken by Dr Naylor) ! Assessment – 100% examination in June ! Handouts in the form of PowerPoint slides ! Text Book B.P. Lathi, “Linear Systems and Signals”, 2 nd Ed., Oxford University Press (~£36) Lecture 1 Slide 4 PYKC Jan-7-10 E2.5 Signals & Linear Systems A demonstration …. . ! This is what you will be able to do in your 3 rd year (helped by this course) ! You will be able to design and implement a NOISE CANCELLING system
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Lecture 1 Slide 5 PYKC Jan-7-10 E2.5 Signals & Linear Systems Lecture 1 Basics about Signals ( Lathi 1.1-1.5 ) Peter Cheung Department of Electrical & Electronic Engineering Imperial College London URL: www.ee.imperial.ac.uk/pcheung/ E-mail: p.cheung@imperial.ac.uk Lecture 1 Slide 6 PYKC Jan-7-10 E2.5 Signals & Linear Systems Examples of signals (1) ! Electroencephalogram (EEG) signal (or brainwave) Lecture 1 Slide 7 PYKC Jan-7-10 E2.5 Signals & Linear Systems Examples of signals (2) ! Stock Market data as signal (time series) Lecture 1 Slide 8 PYKC Jan-7-10 E2.5 Signals & Linear Systems Examples of signals (3) ! Magnetic Resonance Image (MRI) data as 2-dimensional signal
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Lecture 1 Slide 9 PYKC Jan-7-10 E2.5 Signals & Linear Systems Size of a Signal x(t) (1) ! Measured by signal energy
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Lecture 1 - Introduction to Signals - Aims and Objectives !...

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