Lecture 12: Multiplexing

Jul 22, 2024

Lecture 12: Final Lecture on Multiplexing

Recap of Previous Lectures

  • Lecture 11: Digital band pass modulation (Amplitude Modulation, Frequency Modulation, Phase Modulation)
    • Generation, detection, frequency domain representation
    • Variants of AM, FM, PM with digital signals

Class Test Information

  • Date: Wednesday, 12th May at 10:00 AM
  • Worth: 15%
  • Content Covered: Lectures 7-12
  • Format: Two parts, A and B
    • Part A: 10 questions, 7.5 marks each
    • Part B: 5 questions, 5 marks each
    • Duration: 2 hours total
    • Instructions: Part B involves handwritten solutions, demo available online

Introduction to Multiplexing

  • Definition: Several communication channels sharing the same channel
  • *Types:
    • Time Division Multiplexing (TDM): Digital signals, time slots for each user
    • Frequency Division Multiplexing (FDM): Analog signals, different frequency bands for each user
    • Spread Spectrum: Combination of TDM and FDM, used in Bluetooth, Wi-Fi

Digital System Performance

  • Bit Error Rate (BER):
    • Measure of errors in received bits
    • BER = Number of bits received in error / Total number of bits transmitted or received
    • Ideal BER = 0 (never happens in reality)
    • BER vs. Signal-to-Noise Ratio (SNR) Curve:
      • Low SNR: high noise, high BER
      • High SNR: low noise, low BER
    • Comparison of communication systems using BER curves
      • E.g., Different levels of QAM (2-level, 16-level, 64-level)
      • Higher levels of QAM: higher BER but faster communication
  • *Analog & Digital Signal Comparison:
    • High-level QAM more affected by noise
    • Trade-off: speed vs. bit error rate

Multiplexing in Detail

  • Multiplexing (MUX): Combining multiple signals
  • Demultiplexing (DMUX): Recovering original signals
  • FDM (Frequency Division Multiplexing):
    • Multiple users share the channel at the same time, different frequency bands
    • Used in Radio, TV, telephone lines
    • Requires modulation to avoid overlap
    • Example: Radio stations broadcasting simultaneously with different frequencies
  • TDM (Time Division Multiplexing):
    • Multiple users share the same frequency at different times
    • Used in fiber optic, telephone communications
    • Requires synchronization between multiplexer and demultiplexer
  • Spread Spectrum:
    • Combination of FDM and TDM
    • Users occupy different frequencies at different times
    • Secure communication (e.g., Bluetooth, Wi-Fi)
    • Frequency hopping: signals change frequency over time
    • Difficult to intercept without knowing the code

Multiplexing Techniques

  • Simplex, Duplex:
    • Simplex: One-way communication (e.g., radio)
    • Half Duplex: Two-way, one party at a time (e.g., walkie-talkie)
    • Full Duplex: Two-way, both parties can communicate simultaneously (e.g., telephone)
  • Comparison of ASK and DPSK: Using BER vs SNR graph
    • ASK more error-prone than DPSK
    • Example: ASK 100x more likely to have an error than DPSK at 9 dB SNR

Exam Preparation

  • Date: 19th May
  • Instructions: Unique set of questions based on student ID
  • Question Format: Design, explain, compare, sketch
  • Content Focus: Not directly from lecture notes
  • Preparation Tips: Review last year's exam, mock exam on Canvas

Conclusion

  • Course Wrap-Up: Enjoyed teaching, future courses (ELEC 377, ELEC 477)
  • Exam Tips: Be creative, use imagination, different correct answers possible
  • Good Luck: Revision, class test, final exams
    • Next year's course: ELEC 352

Good luck and stay safe!