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Consider the frequency-selective channel with CSI only at the receiver with L i.i.d. Rayleigh faded paths.
1. Compute the capacity of the fast fading channel. Give approximate expressions at the high and low SNR regimes.
2. Provide an expression for the outage probability of the slow fading channel. Give approximate expressions at the high and low SNR regimes.
3. We introduced a suboptimal scheme which transmits one symbol every L symbol times and uses maximal ratio combining at the receiver to detect each symbol. Find the outage and fast fading performance achievable by this scheme if the transmitted symbols are ideally coded and the outputs from the maximal-ratio are soft combined. Calculate the loss in performance (with respect to the optimal outage and fast fading performance) in using this scheme for a GSM system with two paths operating at average SNR of 15 dB. In what regime do we not lose much performance by using this scheme?
At the time the double-pole switch inthe circuit shown is closed, the initial voltages on the capacitorsC1 and C2 are VC1 = 11 V and VC2 = 6 V respectively. If the otercircuit parameters are Va = 6 V, Vb = 12 V, Vs = 28 V, R1 = 11kOhm
Let x(t) = |cos120pit| a periodic signal. Plot x(t). What is the period and frequency of x(t). Expand x(t) in trigonometric Fourier series Hint: use the plot to find the Fourier coefficients.
Derive the voltage measured by the voltmeter - Determine the minimum value of Rm required to ensure that the measurement error is smaller than 1 percent of vmi.
Input resistance Rin=20K When fed from a signal source with a peak amplitude of 0.1v and a source resistance of 20k , the peak amplitude v(pi)is 5mv. specify Re and bias current Ic. The BJT has beta =100.
Unpolarized light is incident on three polarizers: The first making an angle of 0 degrees with the vertical; the second making an angle of degrees with the vertical; and the last one making an angle of 90 degrees with the vertical.
Draw the correct circuit to serve a 7.2kv single-phase load from a 2.4kv source. If the laod is 50kVa at pf=.8 lagging, compute the secondary and primary phasor currents. is this a step-up or step-down application
A DTMF signal with duration T seconds can be modeled as a sum of two cosine signals with frequencies frand fc, multiplied by a rectangle function. For example, the DTMF signal for "1" is g1(t) = rect (t/T) * [cos(2pi*687t)+cos(2pi*1209t)]
A voltage source V = 119
A balanced three-phase source is supplying 90 kVA at 0.8 lagging to two balanced Y-connected parallel loads. The distribution line connecting the source to the load has negligible impedance. Load 1 is purely resistive and absorbs 60 kW.
The AND gates should have no more than 3 inputs and the OR gates should have no more than 4 inputs. The one-bit full adder should accept two one-bit inputs and carry-in and should produce one-bit sum and carry-out.
Determine the RMS generated voltage of an alternator used for a 50 Hz system if it has a flux per pole of 0.015 Wb, 72 turns per phase and a winding constant of 0.96
Design a proportional-integral (PI) controller (recommend to use matlab siso toolbox) so that phase margin of the loop transfer function should be over 35o, and the crossover frequency is no larger than 10kHz - Analytically determine and draw t..
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