GATE EE 2017 Set 2 | GATE EE Year Wise Previous Years Questions

GATE EE 2017 Set 2

MCQ (Single Correct Answer)

-0.6

A cascade system having the impulse responses $$$\begin{array}{l}h_1\left(n\right)=\left\{1,\;-1\right\}\;\;\;and\;\;h_2\left(n\right)=\left\{1,\;1\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$$ is shown in the figure below, where symbol $$\uparrow$$ denotes the time origin. GATE EE 2017 Set 2 Signals and Systems - Discrete Time Signal Z Transformation Question 7 English

GATE EE 2017 Set 2 Signals and Systems - Discrete Time Signal Z Transformation Question 7 English

The input sequence x(n) for which the cascade system produces an output sequence $$$\begin{array}{l}y\left(n\right)=\left\{1,\;2,\;1,\;-1,\;-2,\;-1\right\}\;\;is\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$$

$$\begin{array}{l}x\left(n\right)=\left\{1,\;2,\;1,\;1\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$

$$\begin{array}{l}x\left(n\right)=\left\{1,\;1,\;2,\;2\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$

$$\begin{array}{l}x\left(n\right)=\left\{1,\;1,\;1\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$

$$\begin{array}{l}x\left(n\right)=\left\{1,\;2,\;2,\;1\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$

GATE EE Papers

2023