ELEC 6601 Project Description S11

ELEC 6601 Project Description S11 - 6 B 8 B -4 B -6 B -8 B...

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Design and Simulation of a Frequency Division Multiplexer (See Project Guidelines and the IEEE Paper posted on the web site as well) Fig.1 shows a frequency division multiplexer, which is to convert a number of bandlimited signals to a wide-band frequency division multiplexed signal. Each of input signals x i (t) (i=0,1,2,3) has a bandwidth of B Hz as illustrated in Fig.2, and is already sampled with B T 2 1 1 = . The output signal of the multiplexer should have a spectrum as shown in Fig.3. The Digital Multiplexer is designed to carry out the multiplexing in discrete-time domain. It contains upsamplers and digital filters. Digital Multiplexer C/D T 1 x 0 (n) x 0 (t) D/C y(n) y(t) B T 8 1 2 = C/D T 1 x 1 (n) x 1 (t) C/D T 1 x 2 (n) x 2 (t) C/D T 1 x 3 (n) x 3 (t) Fig. 1 Fig. 2 1 X i (j Ω ) 2 π B Ω -2 π B Fig. 3 1 ) ( Ω j Y Ω 2 π B -2 π B 4 π B
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Unformatted text preview: 6 B 8 B -4 B -6 B -8 B X 0 X 1 X 2 X 3 X 0 X 1 X 2 X 3 (a) Develop the multiplexing algorithm to obtain y(t) from x i (t). (You might find it easier to work in frequency domain). (b) Implement your multiplexing algorithm in Matlab. You should design your filters as FIR lowpass filters based on a lowpass prototype filter. (c) To test your multiplexer design, assume that B=4kHz and 4 sinusoidal signals x i (t) are used as input each having a frequency less than 4kHz. In order to distinguish them, you should choose 4 different frequencies. Plot your input signals x i (t), the output signal y(t) and required intermediate signals using Matlab. Hint: Use the IEEE paper which is posted on the web site to develop your algorithm....
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