BeginnerTopic 8 of 101Signals, Control & Comms

Systems

Entities that map input signals to output signals.

In depth

A system maps an input signal to an output signal: y=H{x}. Examples: amplifier, filter, communication channel, car suspension. Classified as linear/nonlinear, time-invariant/variant, causal/noncausal, stable/unstable, memoryless/with memory.

Key points

  • Black-box description
  • Block diagrams
  • Interconnections
Example

An RC circuit is a system with voltage input and capacitor voltage output.

Why it matters

A system is anything that turns an input signal into an output signal, and modelling systems this way is the basis of control and filtering.

Where this is used

  • Modelling an amplifier as a system that maps input voltage to output voltage.
  • Treating a car suspension as a system from road bumps to body motion.
  • Describing a digital filter as a system acting on a sample stream.

Frequently asked questions

What is Systems?

Entities that map input signals to output signals.

Why is it important to understand systems?

A system is anything that turns an input signal into an output signal, and modelling systems this way is the basis of control and filtering.

What is a system in signals?

A mapping from input signals to output signals, which can be linear or nonlinear and can have memory or not.

Does a system need physical components?

No. A software filter or a mathematical model is also a system, which is why the same analysis applies to both.

How is Systems used in practice?

Typical applications include modelling an amplifier as a system that maps input voltage to output voltage, treating a car suspension as a system from road bumps to body motion and describing a digital filter as a system acting on a sample stream.

What should I learn before Systems?

Study "Signal operations" first (topic 7 of 101 in Signals, Control & Comms). It covers the groundwork this topic builds on.

What are the key points of Systems?

Black-box description. Block diagrams. Interconnections.

Can you give an example of Systems?

An RC circuit is a system with voltage input and capacitor voltage output.

What comes after Systems?

The next topic is "Linearity and time invariance", which builds directly on this one.

How difficult is Systems?

It is classed as Beginner in Signals, Control & Comms (topic 8 of 101). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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