Part C [15Marks] A Telemetry System uses FSK modulation. It has a carrier frequency of 1 MHz, and a frequency deviation of 30KHz. It is modulated by a 10kbps bit stream. Determine: ● ● ● The modulation index. The bandwidth and sketch the signal in the frequency domain. Discuss whether FSK is an appropriate modulation scheme. Support your answer with some technical facts.

7.1-19 In a network with 12 links, one of the links has failed. The failed link is randomly located. An engineer tests the links one by one until the failed link is located. (a) What is the probability that he will find the failed link in the first test? (b) What is the probability that he will find the failed link in five tests?

1. Determine the average transmitted power. 2. Determine the peak-phase deviation. 3. Determine the peak-frequency deviation. 4. Is this an FM or a PM signal? Explain.

The carrier c(t) = A cos 2л10^6 t is angle modulated (PM or FM) by the sinu- soid signal m(t) = 2 cos 2000лt. The deviation constants are kp = 1.5 rad/V and kf = 3000 Hz/V. Determine Bf and Bp. 2. Determine the bandwidth in each case using Carson's rule. 3. Plot the spectrum of the modulated signal in each case. (Plot only those fre- quency components that lie within the bandwidth derived in Part 2.) 4. If the amplitude of m(t) is decreased by a factor of 2, how would your answers to Parts 1-3 change? 5. If the frequency of m(t) is increased by a factor of 2, how would your answers to Parts 1-3 change?

For a lowpass signal with a bandwidth of 6000 Hz, what is the minimum samplin frequency for perfect reconstruction of the signal? What is the minimum require sampling frequency if a guard band of 2000 Hz is required? If the reconstructic filter has the frequency response

1. What is the resulting bit rate in bits per second? 2. What is the resulting SQNR (in dB)? 3. What is the required transmission bandwidth? 4. If the available transmission bandwidth is 70 kHz, what is the maximum achiev- able SQNR (in dB)?

An information source can be modeled as a bandlimited process with a bandwidth of 6000 Hz. This process is sampled at a rate higher than the Nyquist rate to provide a guard band of 2000 Hz. We observe that the resulting samples take values in the set A={-4, -3, -1, 2, 4, 7) with probabilities 0.2, 0.1, 0.15, 0.05, 0.3, 0.2. What is the entropy of the discrete time source in bits per output (sample)? What is the information generated by this source in bits per second?

1. Show that these waveforms are orthonormal. 2. Express the waveform x (t) as a weighted linear combination of n (t), n = 1, 2, 3 if

Consider the four waveforms shown in Figure P-8.3. 1. Determine the dimensionality of the waveforms and a set of basis functions. 2. Use the basis functions to represent the four waveforms by vectors S1, S2, S3, S4 3. Determine the minimum distance between any pair of vectors.

A discrete memoryless source has an alphabet (a1, a2, a3, a4, as, a6) with corre- sponding probabilities (0.1, 0.2, 0.3, 0.05, 0.15, 0.2). Find the entropy of this source. Compare this entropy with the entropy of a uniformly distributed source with the same alphabet.