Introduction to Digital Signals and Functions

Sep 9, 2024

Digital Electronics Course - Lecture 1

Introduction

  • The course is also known as:
    • Digital Logic
    • Digital Logic and Designing
  • Content will be consistent across different colleges.

Overview of Signals

  • A signal is a function representing the variation of a physical quantity with respect to an independent parameter (usually time or distance).
  • Function:
    • Denoted as f(x)
    • Example: f(x) = -ax² + bx + c

Daily Life Example of Signal

  • Example: Measuring temperature:
    • A boy measures temperature from 9 a.m. to 9 p.m. every minute.
    • Example Data:
      • 9:00 a.m. = 27°C
      • 9:01 a.m. = 27.5°C
  • Plotting Temperature vs. Time:
    • X-axis: Independent quantity (time, t)
    • Y-axis: Dependent quantity (temperature, T)
    • Example graph shows a downward parabola if a > 0.

Understanding Functions

  • Parameters:
    • If a = 0, the graph is a straight line (y = mx + c).
    • If a < 0, the graph is an upward parabola.
  • Conclusion:
    • The function is the signal indicating how temperature changes over time.

Electrical and Electronics Signals

  • In this context, signals represent variations in electrical quantities (usually current or voltage) with respect to time.
  • Clarification:
    • If current or voltage does not change over time, it is not considered a signal (e.g., direct current).
  • Graph for Direct Current:
    • Current I at different times T1 and T2 remains constant (I0).

Transducers

  • Definition:
    • Device converting non-electrical signals to electrical signals (and vice versa).
  • Example:
    • Microphone converts sound (non-electrical) to electrical signals.
    • Amplifier processes and amplifies the signal.
    • Speaker converts the amplified electrical signal back to sound.

Conclusion

  • Various types of signals exist, and we've covered a basic example with temperature.
  • Next lecture will cover analog signals, discrete-time signals, and digital signals.