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This is lab report submitted to Control Systems course coordinator Hemant Yadav at National Institute of Industrial Engineering. It includes: Laboratory, Dynamic, Block, Diagram, MATLAB, Simulink, Sources, Sinks, Maths, Non-linear, Objectives, Frequency, Representation
Typology: Exercises
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Simulink Simulink is a block oriented program that allows to simulate dynamic systems in a block diagram format.
Simulink is invoked from the MATLAB window by typing: simulink
The Simulink library browser window will appear. From this window, it is possible to open an existing simulation model or to create a new one.
The Simulink library browser offers a large number of elementary functions in the form of building blocks grouped by categories.
The main Blocksets of interest for Communications experiments are: Simulink Blockset Communications Blockset
Within these two main blocks, a number of categories are used to sort the elementary functional blocks: Sources Sinks Maths, Non-linear ... Elementary functions can be dragged and dropped in the working window, and connected to each other.
By double clicking on a block, a configuration panel will appear, which allows to enter the values of specific parameters to initialize the function, e.g. for a sine wave (source signal): amplitude, frequency, phase, sample rate can be configured.
Objective of the Lab Familiarization with Simulink. Time/Frequency representation
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Use Simulink to create a square wave by addition of sine waves. From Matlab, start Simulink In the simulink library browser, use In the “simulink” block In the “sources” directory “Sinewave” In the “sinks” directory “Scope” In the “Maths” directory “Sum” “Gain” To build a square wave with 1, 2, 3 ,4 … sine waves, use the coefficient of the Fourier analysis. Use 5 Hz for the fundamental frequency, 1/1000 sec for the sample time. The block is a sine block: a phase shift must be introduced to create a cosine.
Signal
Fourier serie
(4A/π ) * [ cos(2π ft ) – (1/3) cos(2π (3 f ) t )+ (1/5) cos(2π(5 f ) t ) – (1/7) cos(2π (7 f ) t ) + …]
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In the model of exercise 1, introduce a sampling device and a buffered FFT scope to visualise the spectrum.
Refer to exercise 2.
Exercise 4 In the model of exercise 2, introduce a lowpass filter (Chebyshev 2 in Analog filter design in DSP block). Choose the stop band frequency to limit the number of frequency components to 3 or 4, and verify the spectrum and time representation of the signal.