Practice Multiplier (Gain Block) - 6.3.1.2 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
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6.3.1.2 - Multiplier (Gain Block)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does a Gain Block do to an input signal?

πŸ’‘ Hint: Think about how the input is altered.

Question 2

Easy

If an input signal is 5 and the gain is 3, what is the output?

πŸ’‘ Hint: Multiply the input by the gain.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does a multiplier or gain block do in a digital signal?

  • Inverts the signal
  • Scales amplitude
  • Changes frequency

πŸ’‘ Hint: Think about how signals are manipulated in processing.

Question 2

True or False: A gain block can only amplify a signal.

  • True
  • False

πŸ’‘ Hint: Consider both positive and negative gain values.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a Gain Block with a gain of -3 and an input signal x[n] = [1, 0, -2]. What will be the resulting output signal?

πŸ’‘ Hint: Apply the gain to each element of the input signal.

Question 2

Draw and label a block diagram for a system that combines two input signals through a Gain Block with a gain of 2. What is the output signal expression?

πŸ’‘ Hint: Remember that both inputs are added before multiplying by the gain.

Challenge and get performance evaluation