JNTU
JNTU B.Tech II SIGNALS AND SYSTEMS Previous Question Paper (November/December - 2018 - R13)
Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.
Part A
Define a signal.
Answer
A signal is a physical quantity that varies with one or more independent variables, such as time or space, and serves to convey information about the behavior or nature of a phenomenon.
What are the different types of signals?
Answer
Signals are broadly classified into the following types:
- Continuous-time and Discrete-time signals
- Deterministic and Random signals
- Periodic and Aperiodic signals
- Energy and Power signals
- Even and Odd signals
- Causal, Anti-causal, and Non-causal signals
Define Fourier transform.
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Mention the properties of Fourier transform.
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What is signal bandwidth?
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What are the properties of LTI Systems?
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Define Energy Density spectrum.
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Write about the Graphical representation of convolution.
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What is waveform synthesis?
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What is ROC?
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Part B
Derive the expression for component vector C12 of approximating the function f1(t) over f2(t) and also prove that the component vector becomes zero if the f1(t) and f2(t) are orthogonal.
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Show that the following two signals are orthogonal over a interval [0 1] for f1(t) = 2 and f2(t) = √3(1-2t).
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Define orthogonal signal space and bring out clearly its application in representing a signal.
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What are Dirichlet’s conditions? Explain them with examples.
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Define Nyquist rate. Compare the merits and demerits of performing sampling using impulse, Natural and Flat-top sampling techniques.
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Discuss the process of reconstructing the signal from its samples.
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Obtain the Fourier transform of the following functions: i) Impulse function ii) DC Signal iii) Unit step function.
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State and prove time differentiation property of Fourier Transform.
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What is an LTI system? Derive an expression for the transfer function of an LTI system.
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Let the system function of an LTI system be 1/(jω + 3). What is the output of the system y(t) for an input (0.5)^t u(t)?
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Explain about the Distortion less transmission through a system.
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Write the differences between Linear Time Invariant (LTI) System and Linear Time Variant (LTV) System.
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Define Convolution Theorem in Time and Frequency domain and bring out the expression for convolution in Time domain.
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Find the convolution of the signals x(t) = e^-2t u(t) and y(t) = e^-4t u(t).
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Bring out the relation between Correlation and Convolution.
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Explain the properties of Correlation function.
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Prove that the signals x(t) = e^-at u(t) and x(t) = e^-at u(-t) have the same X(s) and differ only in ROC.
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Discuss the Concept of Region of Convergence (ROC) for Laplace Transforms.
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Explain about the Constraints on ROC for various classes of signals.
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