Practice Summation (for Discrete-Time Signals only) - 1.2.9 | Module 1 - Introduction to Signals and Systems | Signals and Systems
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1.2.9 - Summation (for Discrete-Time Signals only)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula to represent summation in discrete-time signals?

πŸ’‘ Hint: Think about how we add up values up to a certain index.

Question 2

Easy

In what kind of systems is summation commonly used?

πŸ’‘ Hint: Consider systems that need to track totals over time.

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 is the primary operation we perform in summation for discrete-time signals?

  • Integration
  • Accumulation
  • Differentiation

πŸ’‘ Hint: Consider how summation is similar to keeping a running total.

Question 2

True or False: The summation operation in discrete-time signals can be expressed with the formula y[n] = sum from k=-infinity to n of x[k].

  • True
  • False

πŸ’‘ Hint: Recall the key formula we've discussed.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A digital accumulator receives the following samples: 2, -1, 3, 4, and 5. Calculate the total sum after five samples.

πŸ’‘ Hint: Remember to carefully add positive and negative values.

Question 2

In a signal processor, the input signal x[n] is defined as x[n] = n for n = 0 to 10. Using summation, compute the value of y[10].

πŸ’‘ Hint: Use the formula for the sum of an arithmetic series!

Challenge and get performance evaluation