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Three equiprobable messages m1, m2, and m3 are to be transmitted over an AWGN channel with noise power spectral density ½ N0.
Design an optimal matched filter receiver for this system. Carefully label the diagram and determine all the required parameters.
What is the expression for the threshold value rth such that forr > rth the optimal detector makes a decision in favor of s1(t)?
Assuming an antipodal signaling scheme (X = ±A) and a constant ? = 1, what is the optimal decision rule and the resulting error probability?
In a binary communication system two equiprobable messages s1 = (1, 1) and s2 = (-1, -1) are used.
Two equiprobable messages are transmitted via an additive white Gaussian noise channel with noise power spectral density of N0/2 = 1.
In a block diagram, give the precise specifications of the optimal receiver using matched filters. Label the block diagram carefully.
In the second path the signal is subject to a random amplification A and additive noise n2(t). The random variable A takes values ±1 with equal probability.
Express this error probability in terms of a single integral, and thus show that the symbol error probability for a biorthogonal signal set.
Let Pe1 denote the error probability in part 2 when an optimal receiver is designed for the new noise power spectral density N1.
Each set may be used to transmit one of four equally probable messages over an additive white Gaussian noise channel.
Determine the optimum decision boundaries for the detector, assuming that the SNR is sufficiently high that errors occur only between adjacent points.
Determine the relative amplitudes of the signals for the two carriers so that eb/N0 for the two channels is identical.
Consider a digital communication system that transmits information via QAM over a voice-band telephone channel at a rate of 2400 symbols/s.
If Gray coding is used, what is the bit error probability in terms of the same parameters used in part 1?
Determine the autocorrelation functions for the MSK and offset QPSK modulated signals .
Determine the average transmitter powers for the two signal constellations, and compare the two powers.
Determine a set of orthonormal functions for the four signals shown in Figure .
Describe how specific resource requirements (i.e., hardware, software, people, facilities, data, and elements of support).
Determine the magnitude and coordinate direction angles of F3 so that the resultant of the three forces acts along the positive y axis.
The system transmission rate is 4800 bits/s. Write a MATLAB file that simulates the operation of an early-late gate for this system.
In a carrier-amplitude-modulated PAM system, the transmitter filter has a squareroot raised-cosine spectral characteristic with rolloff factor ex = 0.5.
In an amplitude-modulated digital PAM system, the transmitter filter with impulse response gy(t) has a square-root raised-cosine.
Estimation of the Autocorrelation and Power Spectrum of Coefficients in the Two-Path Radio Channel] For p = 0.99, compute.