Signals and Systems - Electrical Engineering

724 CHAPTER 12: Applications of Discrete-Time Signals and Systems where x(nTs)=x(t)|t=nTsare the sample values of the continuous ...

12.3 Application to Sampled-Data and Digital Control Systems 725 FIGURE 12.7 Equivalent discrete-time system of the open-loop sa ...

726 CHAPTER 12: Applications of Discrete-Time Signals and Systems Solution The combined transfer function of the ZOH and the pla ...

12.3 Application to Sampled-Data and Digital Control Systems 727 FIGURE 12.8 Closed-loop sampled-data control system. Plant ADC ...

728 CHAPTER 12: Applications of Discrete-Time Signals and Systems We thus have P(z)[C(z)−Y(z)] ︸ ︷︷ ︸ M(z) Gˆ(z)=Y(z) from which ...

12.4 Application to Digital Communications 729 After replacing Ts=1 it becomes v[n]=v[n−1]+e[n], so the transfer function of the ...

730 CHAPTER 12: Applications of Discrete-Time Signals and Systems types—developed into time-division multiplexing (TDM), which i ...

12.4 Application to Digital Communications 731 FIGURE 12.9 PCM system: transmitter, channel, and receiver. LPF and holdSample an ...

732 CHAPTER 12: Applications of Discrete-Time Signals and Systems nExample 12.7 Suppose you have a binary signal 01001001, with ...

12.4 Application to Digital Communications 733 Baseband and Band-Pass Communication Systems A baseband signal can be transmitted ...

734 CHAPTER 12: Applications of Discrete-Time Signals and Systems 0 1 2 3 4 5 6 7 − 1 −0.5 0 0.5 1 (a) (c) (d) (b) t (sec) m ( 1 ...

12.4 Application to Digital Communications 735 FIGURE 12.11 TDM system: transmitter, channel, and receiver. Quantizer & enco ...

736 CHAPTER 12: Applications of Discrete-Time Signals and Systems spectrum using a code to differentiate the different users. Th ...

12.4 Application to Digital Communications 737 When transmitting over a radio link the baseband signalx(t)modulates an analog ca ...

738 CHAPTER 12: Applications of Discrete-Time Signals and Systems n Robustness to interference from other users:Assuming no nois ...

12.4 Application to Digital Communications 739 0 1 2 3 4 5 6 7 8 9 − 1 0 1 m( t) Message 0 1 2 3 4 5 6 7 8 9 − 1 0 1 c(t ) Code ...

740 CHAPTER 12: Applications of Discrete-Time Signals and Systems plot(f,M);grid; axis([min(f) max(f) 0 1.1∗max(M)]); ylabel(‘—M ...

12.4 Application to Digital Communications 741 (wherep(t−mT)=1), 1 T (m∫+ 1 )T mT r(t)e−j^2 πfktdt= 1 T (m∫+ 1 )T mT N∑− 1 `= 0 ...

742 CHAPTER 12: Applications of Discrete-Time Signals and Systems 12.5 What Have We Accomplished? Where Do We Go from Here?..... ...

APPENDIX Useful Formulas....................................................................................... Trigonometric Re ...