3) Express the waveform in the following figure in terms of unit step or ramp functions.

6.2-4 For baseband modulation, each bit duration is Th. If the pulse shape is P2(t) = π(t/Tb) (a) Find PSDs for the polar, on-off, and bipolar signaling. (b) Sketch these PSDs and find their bandwidths. For each case, compare the bandwidth to the PSD obtained in Prob. 6.2-3.

6.2-3 For baseband modulation, each bit duration is Th. Consider a pulse shape P1(t)=Δ(1/2Tb) (a) For a random binary data sequence 01001010110, sketch the polar signal waveform y(t). (b) Find PSDs for the polar, on-off, and bipolar signaling. (c) Sketch the resulting PSDs and compare their effective bandwidths.

6.2-1 (a) A random binary data sequence 01001010110... is transmitted by means of a Manchester (split-phase) line code with the pulse p(1) shown in Fig. 6.7a. Sketch the waveform y(1). (b) Using the derived PSD results of polar signals, determine the PSD Sy(f) of this Manchester (split-phase) signal in Part (a) assuming 1 and 0 to be equally likely. (c) Sketch this PSD and find its bandwidth.

5.6-2 Consider a message signal as input to the DM system: m(t) = 3 cos 890πt-0.7 sin(1000-√3πt) (a) Determine the minimum step size E necessary to avoid DM slope overload. (b) Calculate the minimum average quantization noise power based on part (a).

5.6-1 A DM system has input message signal m(t) = 50e^-200t cos 1000πt-u(t) (a) Determine the minimum step size E necessary to avoid slope overload. (b) Calculate the minimum average quantization noise power based on part (a).

Topics: Determining the Fourier Series Coefficients Exercise 3. FOURIER SERIES REPRESENTATION OF PERIODIC SIGNAL (i) Determine the Fourier series coefficients a for the following signal:

Use the MATLAB command tf and bode, generate magnitude (in decibel) and phase plots (in degree) for the following voltage transfer functions

A commonly used system to maintain privacy in voice communication is a speech scrambler. As illustrated in Figure 3(a), the input to the system is a normal speech signal r(t), and the output is the scrambled version u(t). The signal u(t) is transmitted and then unscrambled at the receiver.

3.1. A continuous-time periodic signal x(t) is real valued and has a fundamental period T = 8. The nonzero Fourier series coefficients for x(1) are a₁ = a_₁ = 2, a3 = a_3 = 4j. Express x() in the form x(t) = Σ A. cos(w;! + Φι). k=0