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The cost of computation for Fourier coefficients can be reduced by ___________

The cost of computation for Fourier coefficients can be reduced by ___________ Correct Answer FFT

FFT stands for Fast Fourier Transform which is an algorithm for finding Discrete Fourier Transform (DFT) of a sequence or the Inverse Discrete Fourier Transform (IDFT). This is used to reduce the computational cost.

Related Questions

Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let {ak} be the complex Fourier series coefficients of x(t), where k is integer valued. Consider the following statements about x(3t):
1. The complex Fourier series coefficients of x(3t) are {ak} where k is integer valued.
2. The complex Fourier series coefficients of x(3f) are {3ak} where k is integer valued.
3. The fundamental angular frequency of x(3t) is 6π rad/s.
For the three statements above, which one of the following is correct?
A university library budget committee must reduce exactly five of eight areas of expenditure - I, J, K. L, M, N, O and P - in accordance with the following conditions: If both I and O are reduced, P is also reduced. If L is reduced, neither N nor O is reduced. If M is reduced, J is not reduced. Of the three areas J, K and N exactly two are reduced. If both K and N are reduced, which one of the following is a pair of areas neither of which could be reduced?
A university library budget committee must reduce exactly five of eight areas of expenditure—I, J, K, L, M, N, O and P—in accordance with the following conditions: If both I and O are reduced, P is also reduced.
If L is reduced, neither N nor O is reduced.
If M is reduced, J is not reduced.
Of the three areas J, K, and N exactly two are reduced. Question : If both K and N are reduced, which one of the following is a pair of areas neither of which could be reduced?
Let x(t) be a periodic function with period T = 10. The Fourier series coefficients for this series are denoted by $${a_k}$$ , that is
$$x\left( t \right) = \sum\limits_{k = - \infty }^\infty {{a_k}{e^{jk{{2\pi } \over T}t}}} .$$
The same function x(t) can also be considered as a periodic function with period T' = 40. Let bk be the Fourier series coefficients when period is taken as T'. If $$\sum\limits_{k = - \infty }^\infty {\left| {{a_k}} \right|} = 16,$$    then $$\sum\limits_{k = - \infty }^\infty {\left| {{b_k}} \right|} $$  is equal to
Seven chocolates, A, B, C, D, E, F and G, are bought at different costs between Rs. 40 and Rs. 50 (excluding both Rs. 40 and Rs. 50) but not necessarily in the same order. The cost of chocolate C is Rs. 5 less than that of chocolate E. The cost of chocolate A is a prime number. The cost of chocolate F is Rs. 2 more than that of chocolate A. The cost of chocolate F is more than that of chocolate E. The cost of chocolate D is an odd number. The cost of chocolate G is Rs. 3 more than the cost of chocolate D. None of the chocolates cost Rs. 44. The cost of chocolate B is an even number. What is the cost of chocolate E?
Which among the following is/are correct? a: Development of mental computation skill among primary school children needs to be encouraged. b: The only way to improve the mental computation skill is through drill and practice. c: Mental computation skill encourages the use of formal and informal strategies to solve a problem.
To produce a component, any of the four processes can be adopted. Process A: Fixed cost = Rs. 20, Variable cost/piece = Rs. 4 Process B: Fixed cost = Rs. 50, Variable cost/piece = Rs. 3 Process C: Fixed cost = Rs. 60, Variable cost/piece = Rs. 2 Process D: Fixed cost = Rs. 70, Variable cost/piece = Rs. 1 Which of the following process is the most economical to produce 100 pieces in a batch?
An eraser cost Rs. 3. The cost of 20 erasers is equal to the cost of three pens. The cost of one pen is equal to the cost of two pencils and the cost of six pencils is equal to the cost of five markers. What is the cost of one marker?
Seven chocolates A, B, C, D, E, F and G are bought at different costs between Rs. 40 and Rs. 50 (excluding 40 and 50) but not necessarily in the same order. The cost of chocolate C is five less than that of chocolate E. The cost of the chocolate A is a prime number. The cost of chocolate F is two more than that of chocolate A. The cost of chocolate F is more than that of chocolate E. The cost of chocolate D is an odd number. The cost of chocolate G is three more than the cost of chocolate D. None of the chocolates costs Rs. 44. The cost of chocolate B is an even number. Which is the following chocolates is costlier than E?
The cost of packaging of the mangoes is 40% the cost of fresh mangoes themselves. The cost of mangoes increased by 30% but the cost of packaging decreased by 50%, then the percentage change of the cost of packed mangoes, if the cost of packed mangoes is equal to the sum of the cost of fresh mangoes and cost of packaging :