Linear Time Invariant Continuous System Quiz

What is the definition of a Linear Time Invariant (LTI) system?

• A system that satisfies time invariance but not linearity properties.

• A system that satisfies linearity but not time invariance properties.

• A system that satisfies non-linearity and time variance properties.

• A system that satisfies both linearity and time invariance properties.

Explain in simple terms what it means for a system to be Linear Time Invariant (LTI).

• A system is Linear Time Invariant (LTI) if it follows the principles of superposition and scaling, and its response does not change over time.

• A system is LTI if it does not follow the principles of superposition and scaling

• A system is LTI if it changes its response over time

• A system is LTI if it only works at certain times of the day

What are the properties of Linear Time Invariant (LTI) systems?

• Stability and causality

• Frequency response and impulse response

• Linearity and time invariance

• Non-linearity and time variance

List two properties of Linear Time Invariant (LTI) systems.

• Frequency response and impulse response

• Non-linearity and time variance

• Stability and causality

• Linearity and time invariance

What is the impulse response of an LTI system?

• The impulse response of an LTI system is the response of the system to a Dirac delta function input.

• The impulse response of an LTI system is the response of the system to a step function input.

• The impulse response of an LTI system is the response of the system to a sinusoidal input.

• The impulse response of an LTI system is the response of the system to a ramp function input.

Describe what happens when an impulse is applied to a Linear Time Invariant (LTI) system.

• The output is the frequency response of the system.

• The output is the impulse response of the system.

• The output is the impulse input of the system.

• The output is the step response of the system.

How is the stability of an LTI system determined?

• By measuring the system's temperature

• By analyzing the system's frequency response

• By counting the number of inputs and outputs

• By analyzing the system's impulse response or transfer function.

Explain how stability is assessed in Linear Time Invariant (LTI) systems.

• By checking if the system's impulse response is oscillatory

• By counting the number of zeros in the system's transfer function

• By checking if the system's impulse response is absolutely integrable, or if all the poles of the system's transfer function have negative real parts.

• By measuring the system's output at a single time point

What is the frequency response of an LTI system?

• A constant value

• A real-valued function of frequency

• A linear function of time

• A complex-valued function of frequency

Briefly explain the concept of frequency response in Linear Time Invariant (LTI) systems.

• The frequency response in LTI systems refers to the output of the system when the input is a random noise signal.

• The frequency response in LTI systems refers to the output of the system when the input is a sinusoidal signal at different frequencies.

• The frequency response in LTI systems refers to the output of the system when the input is a step function signal.

• The frequency response in LTI systems refers to the output of the system when the input is a constant DC signal.