Grade 1 Physics Quiz: Linear Time Invariant Discrete Time System

What is the process of convolution in discrete time systems?

• Multiplying two signals to produce a third signal

• Combining two signals to produce a third signal

• Adding two signals to produce a third signal

• Dividing two signals to produce a third signal

How is convolution used to analyze the behavior of LTI systems?

• By showing how the system responds to an input signal over time.

• By measuring the temperature of the system

• By analyzing the color of the input signal

• By counting the number of components in the system

What does stability of discrete time systems refer to?

• Ability of the system to return to a stable state after experiencing a disturbance

• Ability of the system to explode after experiencing a disturbance

• Ability of the system to change color after experiencing a disturbance

• Ability of the system to fly after experiencing a disturbance

What are the difference equations in LTI systems?

• The equations that describe the input-output relationship of a non-linear time-variant system

• The set of equations that describe the output-input relationship of a linear time-invariant (LTI) system

• The set of equations that describe the input-output relationship of a linear time-invariant (LTI) system.

• The equations that describe the input-output relationship of a linear time-variant system

How are difference equations used to represent the behavior of LTI systems?

• By describing the input-output relationship of LTI systems in discrete time domain.

• By analyzing the input-output relationship of LTI systems in the frequency domain

• By representing the behavior of non-linear time variant continuous time systems

• By using differential equations to describe the behavior of LTI systems

What is the frequency response of DT systems?

• Real-valued function of time

• Complex-valued function of frequency

• Integer-valued function of frequency

• Imaginary-valued function of frequency

How does the frequency response help in analyzing the behavior of DT systems?

• It determines the color of the input signals

• It calculates the speed of the system

• It measures the temperature of the system

• It shows how the system responds to different frequencies of input signals.

What is the Z-transform in discrete time systems?

• A technique for converting analog signals to digital signals

• A type of dance popular in the 1980s

• A mathematical transformation that converts a discrete-time signal into a complex frequency domain representation.

• A cooking method for preparing food in a microwave

How is the Z-transform used to analyze the behavior of discrete time systems?

• By converting the difference equations into algebraic equations in the Z-domain.

• By analyzing the behavior in the time domain

• By converting the difference equations into differential equations

• By using Fourier transform