Electronis Discussion
0 votes

Let $\text{x(t)}$ be a periodic function with period $\text{T = 10}$.The Fourier series coefficients for this series are denoted by $a_{k},$ that is

$$x\left ( t \right )=\sum ^{\infty }_{k=-\infty }a_{k}e^{jk\:\frac{2\pi }{T}t}$$

The same function $x(t)$ can also be considered as a periodic function with period ${T}'=40.$

Let $b_{k}$ be the Fourier series coefficients when period is taken as ${T}'$ . If $\sum _{k=-\infty}^{\infty } \mid a_{k} \mid =16,$ ,then $\sum _{k=-\infty}^{\infty } \mid b_{k} \mid$ is equal to 

  1. $256$
  2. $64$
  3. $16$
  4. $4$
in Others by (1.4k points)
retagged by

Please log in or register to answer this question.

Answer:
Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.
1,109 questions
52 answers
8 comments
43,013 users