Consider a periodic signal xt as shown below-It has a Fourier series representationxt-k-akej2- -TktWhich one of the following statements is TRUE-

The given waveform have half wave symmetry thereofore nbsp;a_k will be zero for even integer value of K. Time period of given waveform is 2. ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Symmetry in Trignometric Fourier Series Coefficients

Consider a pe...

Question

Consider a periodic signal x(t) as shown below:

It has a Fourier series representation
$x (t) = \infty \sum k = - \infty a_{k} e^{j (2 π / T) k t}$
Which one of the following statements is TRUE?

Open in App

Solution

Suggest Corrections

Similar questions

a_{k}

a_{k}

a_{k}

6 π

T_{0}

x_{e} (t)

x_{0} (t)

C_{k}

k^{t h}

C_{k} = ⎧ ⎪ ⎪ ⎨ ⎪ ⎪ ⎩ \begin{matrix} (\frac{10}{3 | k |} + \frac{3}{k} j) k \neq 0 a n d | K | < 3 10, K = 0 \end{matrix}

x (t) = cos (1.2 π t) + cos (2 π t) + cos (2.8 π t) .

C_{n}

x (t) = a_{0} + \sum_{n - 1}^{\infty} (a_{n} c o s n ω_{0} t + b_{n} s i n n ω_{0} t)

x (t) = - x (- t) = - x (t - π / ω_{0}),

Join BYJU'S Learning Program