GATE ECE 2005 | Discrete Time Signal Fourier Series Fourier Transform Question 12 | Signals and Systems

A sequence x(n) has non-zero values as shown in Fig. GATE ECE 2005 Signals and Systems - Discrete Time Signal Fourier Series Fourier Transform Question 10 English

GATE ECE 2005 Signals and Systems - Discrete Time Signal Fourier Series Fourier Transform Question 10 English

The sequence $$$y(n)=\left\{\begin{array}{l}x\left(\frac n2-1\right)\;\;\;for\;n\;even\\0\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;for\;n\;odd\end{array}\right.$$$
will be

GATE ECE 2005 Signals and Systems - Discrete Time Signal Fourier Series Fourier Transform Question 10 English Option 1

GATE ECE 2005 Signals and Systems - Discrete Time Signal Fourier Series Fourier Transform Question 10 English Option 2

GATE ECE 2005

MCQ (Single Correct Answer)

-0.6

A sequence x(n) has non-zero values as shown in figure. 1 GATE ECE 2005 Signals and Systems - Discrete Time Signal Fourier Series Fourier Transform Question 9 English

GATE ECE 2005 Signals and Systems - Discrete Time Signal Fourier Series Fourier Transform Question 9 English

The Fourier transform of y(2n) will be

$${e^{ - j2\omega }}\left[ {\cos {\mkern 1mu} 4\omega + {\mkern 1mu} 2\cos \,2\omega + 2} \right]$$

$$\left[ {\cos \,2\omega + \,2\cos \omega + 2} \right]$$

$${e^{ - j\omega }}\left[ {\cos \,2\omega + \,2\cos \omega + 2} \right]$$

$${e^{j2\omega }}\left[ {\cos \,2\omega + \,2\cos \omega + 2} \right]$$

Questions Asked from Marks 2

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GATE ECE Subjects

Signals and Systems

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics