A Linear System’s Frequency Response and Plotting it in Logarithmic Scale
نویسنده
چکیده
You work with a circuit’s transfer function all the time in this course and make extensive use of the logarithmic scale: you are asked to Bode-plot a system’s frequency response in your homework assignments, lab reports, or maybe exams using Matlab, Agilent VEE, or even with bare hands, where the horizontal axis reads Frequency (log-scale). Good or bad, you will continue to see such plots here and there if you end up working as an electrical engineer or applied physicist, especially in the field of electronics or systems control. In fact, logarithmic scale will prove helpful to you wherever you are dealing with large numbers or working with data over a large range. You should hence know well the steps involved in finding a linear system’s transfer function and converting it to its frequency response, and should also feel comfortable plotting data vs. log-scale or reading data off of a chart with either axis (or both!) in log-scale. The purpose of this short note is to create a better feeling about the concepts of transfer function, frequency response, and logarithmic scale through an example. The example is a very simple one because the focus is intended to be on the approach for analyzing such a problem in a systematic way.
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