• recategorized by
981 views
0 0 votes

Consider a six-point decimation-in-time Fast Fourier Transform $(FFT)$ algorithm, for which the signal-flow graph corresponding to $X[1]$ is shown in the figure. Let $W_{6}=exp\left(-\:\dfrac{j2\pi}{6}\right).$ In the figure, what should be the values of the coefficients $a_{1},a_{2},a_{3}$ in terms of $W_{6}$ so that $X[1]$ is obtained correctly?

  1. $a_{1}=-1,a_{2}=W_{6},a_{3}=W_{6}^{2}$
  2. $a_{1}=1,a_{2}=W_{6}^{2},a_{3}=W_{6}$
  3. $a_{1}=1,a_{2}=W_{6},a_{3}=W_{6}^{2}$
  4. $a_{1}=-1,a_{2}=W_{6}^{2},a_{3}=W_{6}$

Please log in or register to answer this question.

Answer:
Position:
Show:

Related questions

0 0 votes
0 0 answers
491
491 views
Arjun asked Feb 12, 2019
491 views
Let $H(z)$ be the $z-$ transform of a real-valued discrete-time signal $h[n].$ If $P(z) = H(z) H(\frac{1}{z})$ has a zero at $z= \frac{1}{2}+\frac{1}{2}j,$ and $P(z)$ has...
0 0 votes
0 0 answers
663
663 views
Arjun asked Feb 12, 2019
663 views
For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles $N_{p}$ and the number of system zeros $N_{z}$ in the fre...
0 0 votes
0 0 answers
578
578 views
Arjun asked Feb 12, 2019
578 views
Let the state-space representation of an LTI system be $x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t)$ where $A,B,C$ are matrices, $d$ is a scalar, $u(t)$ is the input to the syst...
0 0 votes
0 0 answers
764
764 views
Shubham Sharma 2 asked Mar 4, 2025
764 views
Consider a continuous-time finite-energy signal $f(t)$ whose Fourier transform vanishes outside the frequency interval $\left[-\omega_{c}, \omega_{c}\right]$, where $\ome...

Add Synced Question

×