So by plotting the transfer function of the system for the range of frequencies we can have the complete Bode plot. The frequency response of the system gives the information about the phase response of the system in correspondence to the varying frequency and the magnitude response of the system corresponding to the frequency range of the input signal.
We have already mentioned in the above sections that the Bode Plot is the technique for visualizing the Frequency response of the system and also the transfer function compliance the complete information about the frequency response of the system. The above mentioned transfer function can be represented in the MATLAB as follows: Let us now discuss the transfer function representation of the system in the MATLAB with the help of some examples. Keeping in mind the importance of the transfer function there should be some handy way of representing the Transfer Function in MATLAB which is commonly used tool in analysis and design. The Laplace transform converts the time domain representation of the system in the frequency domain in which the variation of the frequency variable determines the behavior of the overall system. To be precise the Laplace transform is the general representation of the Fourier Transform. There is not much difference between the Laplace transform and the Fourier transform. There are various techniques with the help of which we can obtain the transfer function of the LTI system one is the Laplace transform and the other Fourier Transform. It is important that we have the transfer function of the system in order to analyze the system in the frequency domain. As noted previously that the transfer function represents the input and output of the system in terms of the complex frequency variable so that the transfer function can give the complete information about the frequency response of the system.
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