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Simulation_Frequency_Division_Multiplexing
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(1) To enhance the understanding of the principles and methods in the system analysis in the frequency domain. (2) To understand the physics significance of the modulation and demodulation, and enhance the understanding of the principles and methods in the amplitude modulation and demodulation for continuous-time signals. (3) To foster students’ abilities in applying the theories and techniques comprehensively in solving real problems in the engineering practice.
Modulation and demodulation, the principles of frequency-division multiplexing, analysis of 信 号 signals in the time and frequency domains.
. Sketch that block diagram demonstrating the modulation procedure.
This way, those modulated signals can be transmitted at the same time without interfering to each other. Also, using the band-pass filters, we may also separate each modulated signals from others to recover the original voice signals. A modulated signal containing three frequency-division multiplexed signals is saved in the file “Modulated_signal.mat.” Please using the methods learned in the class to recover the three original signals. The three sub-systems (subA, subB and subC) are given in terms of their numerator polynomial coefficients (saved in files named with “num”) and denominator polynomial coefficients (saved in files named with “den”). Please separate each of the three modulated signals and recover the original signals. Save those recovered signals and play them back. You may follow the below steps to write your report. (1) Analyze the waveform and the spectrum of the signals in the file “Modulated_signal.mat.” Find a way to determine how many independent signals are included in the multiplexed signal. Discuss the possible ways and also determine what are the central frequency of the modulated signals. (2) Plot the frequency response of the three sub-systems, and point out their main functions in the demodulation procedure. The three sub-systems frequency response numerator and denominator polynomial coefficients are saved separately in six files, including LF_num.mat, LF_den.mat, HF_num.mat, HF_den.mat, LF_num_BS.mat, and LF_den_BS.mat. (3) Sketch the block scheme of the method you used to recover the original signals. Point out the three sub-systems in the scheme and explain their functions. (4) Code the MATLAB program to implement the above demodulation procedure. The output of the code should also include the waveforms and the spectra of output of the three sub- systems. The recovered three signals should be saved as music files and can be played back using common music player applications. Hints (1) In the MATLAB, the functions wavread(file) or audioread(file) can be used to read .wav files and the function load() can be used to read .mat file. (2) For the “amplitude modulation of a music signal,” the sampling rate can be set as the same as that in the music signal (which can be found out after you read the music signal using waveread() function). (3) The sampling rate of the signal in the file “Modulated_signal.mat” is 176400Hz. You may also need to assume the phase of the carrier used for demodulation is zero.