Homework 5

Homework 5#

Chapter 6 (6.2-6.3)

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6.2-2 –> For Part (a)’s plot, use a NRZ polar code. For Part (b), use the equations given in the textbook for each signaling type (6.13 - polar, 6.19b - on-off signaling, 6.21b - bipolar signaling). The textbook uses a rectangular pulse when comparing the spectra of the three types. This problem uses a triangular pulse, so make the necessary adjustments in your equations in Part (b) and plots in Part (c).
6.3-1 –> Use Nyquist’s first criterion for zero ISI. Remember that \(u(t)\) is the step function. It is being used in this problem to ‘turn the signal on or off.’
6.3-5 –> Eq. (6.33)
6.3-7 –> Given the data rate in Mbps (megabits per second), find the pulse rate \(R_b\) in MHz by dividing out the number of bits per symbol. From there, you should be able to find your minimum required bandwidth \(f_1\), subtract that from the available bandwidth (\(f_2\)) to get the excess bandwidth \(f_x\), and then use Eq. (6.31) to solve for \(r\).