I have matlab question will you help me?

nnnnooo1
timer Asked: Jan 31st, 2018

Question Description

I have matlab question will you help me?


i need Q5 c,d

please check attached file.

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iPad 7:24 PM 51% doc-og-00-docs.googleusercontent.com 1) Consider a system using two-branch, switch-and-stay combining (SSC) diversity. Assume Rayleigh fading with average SNR for the ith branch be Õi. a) Derive an expression for the cdf of the combiner output Yz. Simplify as much as possible. b) Derive an expression for the pdf of the combiner output z. Simplify as much as possible. c) Derive an expression for the outage probability. Plot the outage probability for the case 71 = 72 = 7. 2) For selection combining with M = 2 under Rayleigh fading: a) Derive an expression for the cdf of the combiner output Ys. Simplify as much as possible. b) Derive an expression for the pdf of the combiner output Ye. Simplify as much as possible. c) Find and plot the average probability of error versus y if QPSK is used. In the same plot, include the case of diversity. A closed-form solution is preferred. However, you may use numerical techniques if necessary. 3) Consider the design of an interleaver for coding over a time-varying channel with a Doppler bandwidth of 200 kHz. The system transmits at a bit rate of 1 Mbps. a) What is the minimum length for the interleaver? b) Repeat for a mobile user moving at a speed of 120 km/h relative to the base station. 4) Consider a MIMO channel with channel gain matrix [0.3 0.6 0.8 0.9 0.87 H = 0.2 0.5 0.6 0.3 0.4 L0.3 0.4 0.5 0.8 0.6) a) How many transmitting antennas and how many receiving antennas es the system have. b) Find the equivalent parallel channel model. c) Find the average error probability, for each subchannel, for BPSK and Rayleigh fading with y = 20 dB. Find the average error probability for all the subchannels. d) Will equalization help improve the error probability? Why? e) How would you make the error probability equal among the subchannels? Draw a complete block diagram for the system (not including modulator/demodulator). 5) At a certain moment in time, a mobile channel has a discrete-time impulse response h[n] = [1.0 -2.9 -0.5 -1.2 -2.2 0.7 0.4 0.0 -1.9 1.6] OFDM is used to transmit 16-QAM modulation. The used complex QAM constellation is given below. O 1000 O 1001 O 1011 O 1010 a O 1100 O 1101 O 1111 O 1110 R O 0100 O 0101 O 0110 0111 O 0000 O 0011 o 0010 0001 The average transmitted energy per symbol is 20. The data transmitted is 01010011011000011111... The same data is transmitted repeatedly. The overall bandwidth of the system is 20 MHz and the coherence bandwidth of the channel is 2 MHz. a) What is the length of the cyclic prefix that must be appended to the data to avoid inter-symbol interference? b) How would you select the OFDM block size N so that the resulting fading per subchannel is flat? c) For N 16, transmit enough data to make 5 OFDM blocks without cyclic prefix. Use MATLAB to find the transmitted symbols and received symbols. Compare them and comment. Ignore noise. Also, note that the channel operates on the transmitted symbols continuously. d) Repeat if a cylic prefix is used. Compare with part (c). - 1 of
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