d (3) the times of granular and overload noise given: The input to the DM is x(t) = t2 The sampler offers 10 samples/second The step size of the DM is 0.1 V (a) Draw the output of the DM given: The input corresponds to x (t) = 1.1t + 0.05 The input is sampled at times t = 0,1,2,3,4 The step size is 1 and a = 1. (b) Repeat (a), this time using a =0.5. 15. A two-tap predictive filter is being designed to operate in a DPCM system. The predictor is of the form (Q4.6) (a) Provide an explicit equation for the optimal selection of a1 and A2 (in terms of autocorrelation functions) which minimizes the mean squared prediction error. (b) Provide a general equation for the mean squared prediction error using the values determined in (a). (c) Determine the values of the predictor taps in (a) and the prediction error in (b) given: (Q4.7) Chapter Getting It from Here to There: Modulators and Demodulators n many ways, this is the most important chapter of the book, because there'd be no telecommunicating without the devices described in this chapter. 5.1 An Introduction This chapter is really about two simple things: the modulator, and its opposite, the demodulator. The best way to explain them is to imagine yourself stuck with a particu- lar communication problem. Let's say after you read Chapter 4, you got excited and built a source coder-a PCM-which turns your voice signal into a digital bit stream (Figure 5.1). You then called up the FCC (Federal Communication Commission) and told them you want to use your source coder to send a digital voice message to a friend. They respond, "Sure, just be sure you send it over the Family Radio Service band, which is 462.5625-462.7125 MHz." The stuff of You built this! this chapter input speech Source Coder Modulator .10110 FCC says your signal must lie in the Channel 462.5625 MHz to 462.7125 MHz range Source decoder Demodulator for DCM 10110 Also the stuff of You built this! Chapter 5 Figure 5.1 Introducing the modulator and demodulator Chapter Five You think, "How do I do that?" The answ