Download AKTU B-Tech 4th Sem 2014-15 Geoinformatics Question Paper

Code: 20AC03T

II B. Tech I Semester (R20) Regular Examinations – February 2022

SIGNALS AND SYSTEMS

(Electronics and Communication Engineering)

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Time: 3 Hours

Max. Marks: 70

Note: 1. Question paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR questions from Part-B

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PART-A

1. a) Define signal and system. Give examples. (2M)

b) Check whether the signal x(t) = sin(t) + cos(2t) is periodic or not. (3M)

c) Define Fourier series. (2M)

d) Write any two properties of the Fourier transform. (3M)

e) Define the term 'System Function'. (2M)

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f) What is an anti-causal system? (3M)

g) What is the Z-transform of x(n) = d(n)? (2M)

PART-B

2. a) Explain different types of signals with examples. (7M)

b) Determine whether the system y(t) = x(t)cos(t) is linear, time-invariant, causal, and stable. (7M)

3. a) State and prove Dirichlet's conditions for the existence of the Fourier series. (7M)

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b) Find the Fourier series representation of the signal x(t) = t, -p < t < p. (7M)

4. a) State and prove the time scaling and time-shifting properties of the Fourier transform. (7M)

b) Find the Fourier transform of the signal x(t) = e^-atu(t), where a > 0. (7M)

5. a) Explain the concept of distortionless transmission through a system. (7M)

b) Find the impulse response of the system described by the differential equation dy(t)/dt + 2y(t) = x(t). (7M)

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6. a) State and prove sampling theorem for band-limited signals. (7M)

b) Explain different types of sampling techniques. (7M)

7. a) State and prove properties of ROC of Z-transform. (7M)

b) Find the Z-transform of x(n) = aⁿu(n). Also, find the ROC. (7M)

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