Chpt 2 Frequency Domain Analysis

Chpt 2 Frequency - Chapter 2 Frequency Domain Analysis 1 Why Frequency Domain Analysis Frequency domain analysis is a basic tool for engineering

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1 Chapter 2 Frequency Domain Analysis
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2 Frequency domain analysis is a basic tool for engineering. However, frequency domain analysis is not a subject of this course. Rather, you should be learning this subject in “ EE3210 Signals and Systems or EE3118 Linear Systems and Signal Analysis . You should drop EE3008 if you have not or are not taking these two modules. They are the co-requisites for EE3008. Here we will only provide a very brief outline of the basic principles of frequency domain analysis. We will give the formal mathematical definition of Fourier transform and some of its properties. Due to time limitation, we will not give derivation details. Fourier transform is also closely related to Fourier series. You may have learned Fourier series in a math module and so we will skip this topic. If you are interested, you can read the textbook for Fourier series. Why frequency domain analysis? It is because frequency domain analysis can provide many information that we cannot see in time domain. Why Frequency Domain Analysis
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3 What is Spectrum Original domain Spectrum Domain Amount (gram) water salt sugar fat noodle meat onion 100 50 The spectrum domain analysis can provide some additional information. For example, how much fat is contained in the food cannot be seen directly from the food. This hidden information is crucial to whether your diet is healthy or not. “Nutrition spectrum” above can help you to find this information.
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4 Frequency Spectrum In our course, spectrum analysis is about the signal power distribution over the frequency range. Isaac Newton discovered that white light is actually made of a whole range of colors mixed together. He found this by passing white light through a glass prism. Different colors here represent different frequencies. Thus, we can see the signals at different frequencies.
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This note was uploaded on 01/11/2011 for the course EE 3008 taught by Professor Pingli during the Fall '08 term at City University of Hong Kong.

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Chpt 2 Frequency - Chapter 2 Frequency Domain Analysis 1 Why Frequency Domain Analysis Frequency domain analysis is a basic tool for engineering

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