Circuit Analysis II with MATLAB Applications
Designed for use in a second course in circuit analysis, this text engages a full spectrum of circuit analysis related subjects ranging from the most abstract to the most practical.
TABLE OF CONTENTS Circuit Analysis II with MATLAB Applications
Chapter 7: Frequency Response and Bode Plots
This chapter discusses frequency response in terms of both amplitude and phase. This topic will enable us to determine which frequencies are dominant and which frequencies are virtually suppressed. The design of electric filters is based on the study of the frequency response. We will also discuss the Bode method of linear system analysis using two separate plots; one for the magnitude of the transfer function, and the other for the phase, both versus frequency. These plots reveal valuable information about the frequency response behavior.
| Note | Throughout this text, the common (base 10) logarithm of a number x will be denoted as log( x) while its natural (base e) logarithm will be denoted as ln( x). However, we should remember that in MATLAB the log( x) function displays the natural logarithm, and the common (base 10) logarithm is defined as log10(x). |
7.1 Decibels
The ratio of any two values of the same quantity (power, voltage or current) can be expressed in decibels (dB). For instance, we say that an amplifier has 10 dB power gain or a transmission line has a power loss of 7 dB (or gain ?7 dB). If the gain (or loss) is 0 dB, the output is equal to the input. We should remember that a negative voltage or current gain A V or A I indicates that there is a 180 phase difference between the input and the...
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