# Networks, Signals and Systems [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 86 - 89 of 141

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## Question 86

Appeared in Year: *2019*

### Question

Numeric Answer▾Let be a length-7 discrete-time finite impulse response filter, given by

,

,

and is zero for . A length-3 finite impulse response approximation must be obtained such that

is minimized, where are the discrete-time Fourier transforms of , respectively. For the filter that minimizes , the value of rounded off to 2 decimal places, is ________.

## Question 87

Appeared in Year: *2015*

### Question

Numeric Answer▾In the network shown in the figure, all resistors are identical with . The resistance (in ) of the network is …

## Question 88

Appeared in Year: *2017*

### Question

Numeric Answer▾Let be the impulse response of a discrete-time linear time invariant (LTI) filter. The impulse response is given by

Let be the Discrete-Time Fourier transform (DTFT) of h [n] , where is the normalized angular frequency in radians. Given that and the value of (in radians) is equal to …

## Question 89

Appeared in Year: *2016*

### Question

MCQ▾Consider the sequence , where denotes the unit-step sequence and The region of convergence of the Z-transform of is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |