Test: Fourier Analysis of Discrete Time Signals

# Test: Fourier Analysis of Discrete Time Signals

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## 10 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Fourier Analysis of Discrete Time Signals

Test: Fourier Analysis of Discrete Time Signals for Electronics and Communication Engineering (ECE) 2023 is part of GATE Electrical Engineering (EE) 2023 Mock Test Series preparation. The Test: Fourier Analysis of Discrete Time Signals questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Fourier Analysis of Discrete Time Signals MCQs are made for Electronics and Communication Engineering (ECE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Fourier Analysis of Discrete Time Signals below.
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Test: Fourier Analysis of Discrete Time Signals - Question 1

### The discrete timefourier transform for the given signal x[n] - u[n] is

Detailed Solution for Test: Fourier Analysis of Discrete Time Signals - Question 1

where A is constant

The Fourier transform of odd real sequences must be purely imagenary, thus A = π

Test: Fourier Analysis of Discrete Time Signals - Question 2

### The discrete time Fourier coefficients x[k] of the signal x [n ] =

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Test: Fourier Analysis of Discrete Time Signals - Question 3

### The zero state respone y(k) for input f(k) = (0.8)k u(k) is

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Test: Fourier Analysis of Discrete Time Signals - Question 4

Consider discrete time sequence

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Test: Fourier Analysis of Discrete Time Signals - Question 5

Consider a signal x(n) with following factors:
1. x(n) is real and even signal
2. The period of x(n) is N = 10
3. x(11) = 5

The signal x(n) is

Detailed Solution for Test: Fourier Analysis of Discrete Time Signals - Question 5

Test: Fourier Analysis of Discrete Time Signals - Question 6

Consider a discrete time signal x(n) = {-1, 2, -3, 2, -1} value of ∠x(e) is equal to

Test: Fourier Analysis of Discrete Time Signals - Question 7

A low pass filter with impulse response h1(n) has spectrum H1 (e) shown below.

Here only one period has been shown by reversing every second sign of h1(n) a new filter having impulse response  h2(t) is created. The spectrum of H2(e) is given by

Test: Fourier Analysis of Discrete Time Signals - Question 8

A red signal x[n] with Fourier transform x(e) has following property:
1. x[n] = 0 for, n > 0
2. x [ 0] > 0

The signal x[n] is

Test: Fourier Analysis of Discrete Time Signals - Question 9

A causal and stable LTI system has the property that,

The frequency response H(e) for this system is

Test: Fourier Analysis of Discrete Time Signals - Question 10

A 5-point sequence x[n] is given as 4 [- 3] = 1, x[ - 2] = 1, x[ -1 ] = 0 . x[0] = 5 , x[1] - 1
Let x(e) denote the discrete time fourier transform of x[n].
The value of

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## GATE Electrical Engineering (EE) 2023 Mock Test Series

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