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- Question : q1 - Define unit-impulse function.
- Question : q2 - What is a unit-step function? How can it be obtained from a unit-impulse function?
- Question : q3 - What is unit-ramp function? How can it be obtained from a unit-impulse function?
- Question : q4 - What is pulse function?
- Question : q5 - Define exponential sequence.
- Question : q6 - Define sinusoidal sequence
- Question : q7 - Write the mathematical and graphical representation of a unit sample sequence.
- Question : q8 - Give the mathematical and graphical representation of a unit-step sequence.
- Question : q9 - Evaluate (a) e t t
- Question : q10 - What are the major classifications of signals?
- Question : q11 - With suitable examples distinguish a deterministic signal from a random signal.
- Question : q12 - What are periodic signals? Give examples.
- Question : q13 - Describe the procedure used to determine whether the sum of two periodic signals is periodic or not.
- Question : q14 - Determine which of the following signals are periodic and determine the fundamental period.
- Question : q15 - Check whether each of the following signals is periodic or not. If a signal is periodic, determine its fundamental period.
- Question : q16 - What are even signals? Give examples.
- Question : q17 - What are odd signals? Give examples.
- Question : q18 - Find the even and odd components of the following signals
- Question : q19 - What is an energy signal?
- Question : q20 - What is a power signal?
- Question : q21 - Check whether the given signal is power signal or energy signal and find its value. x n n n n [ ] ( ) , , . = - ? <
- Question : q22 - What are singularity functions?
- Question : q23 - With illustrations, explain shifting, folding and time scaling operations on discrete-time signals.
- Question : q24 - Write down the corresponding equation of the signals shown in Fig. Q1.24 in terms of unit step function.
- Question : q25 - Write down the corresponding equation of the sequences shown in Fig. Q1.25 (a) in terms of unit step functions.
- Question : q26 - Write down the corresponding equation for the sig- nal shown in Fig. Q1.26.
- Question : q27 - What are ?[2n] and ?[3t]?
- Question : q28 - Using the discrete-time signals x1(n) and x2(n) shown in Fig. Q1.28, represent the following sig- nals by a graph and by a sequence of numbers.
- Question : q29 - Explain the terms single-sided spectrum and double-sided spectrum with respect to a signal.
- Question : q30 - Sketch the single-sided and double-sided frequency spectra of the signals
- Question : q31 - How are systems classified?
- Question : q32 - Distinguish static systems from dynamic systems.
- Question : q33 - What is a linear system?
- Question : q34 - Determine whether the following systems are linear
- Question : q35 - Show that the following systems are linear
- Question : q36 - What is LTI system?
- Question : q37 - Give an example of a linear time-varying system such that with a periodic input the correspond- ing output is not periodic.
- Question : q38 - Show that the following systems are nonlinear and time invariant.
- Question : q39 - Prove that the following system is time invariant
- Question : q40 - Prove that the following system is time-variant.
- Question : q41 - What is a causal system? Why are non-causal systems unrealisable?
- Question : q42 - What is BIBO stability?
- Question : q43 - What are the conditions for BIBO stability?
- Question : q44 - State the condition for a system to be invertible and explain the same.
- Question : q45 - Express the given sequence in terms of unit step response for
- Question : q46 - Express the given sequence in terms of unit sample response,
- Question : q47 - What are the different ways of representing a system?
- Question : q48 - Explain how difference/differential equations are used to model a system.
- Question : q49 - Explain how impulse response can model a system.
- Question : q50 - Discuss the state-variable modelling of a system.
- Question : q51 - Explain the following terms (i) state variable (ii) state space (iii) state vector (iv) trajectory (v) state equations and (vi) output equations.
- Question : q52 - State and derive the state space representation for n-first order continuous-time LTI system with m-inputs and k-outputs. Also, find the transfer function.
- Question : q53 - State and derive the state space representation of the system with the state variables x1(n) and x2(n). Also find the system transfer function H(z).
- Question : q54 - State and derive an expression for multiple-input and multiple-output system.
- Question : q55 - Determine the state variable model for a system described by the following differential equation ?y??(t) + ?y?(t) + y?(t) + 4y(t) = 4
- Question : q56 - Determine the state variable model for the transfer function given by H s Y s U s s s s s ( ) ( ) ( ) ( ) ( )( )
- Question : q57 - Find the state transition matrix for A= - -
- Question : q58 - A system is described by the following state-variable model x? t x t u t y t ( ) ( ) ( ) ( ) [ = - - -
- Question : q59 - Obtain a state model for the following (a) ?y??(t) + 2?y?(t) + 6y?(t) + 7y(t) = 4u(t) , (b) Y s X s s s s s s ( ) ( ) = + + ( + )( + ) 2 3 2 1 3
- Question : q60 - A discrete-time LTI system is specified by the difference equation y[n] + y[n
- Question : q61 - With a block diagram explain the process of analog-to-digital conversion.
- Question : q62 - What is meant by sampling? State the sampling theorem.
- Question : q63 - Explain how sampling can be done with an impulse function.
- Question : q64 - Draw the spectrum of a sampled signal and explain aliasing.
- Question : q65 - Explain the process of reconstruction of the signal from its samples. Obtain the impulse response of an ideal reconstruction filter.
- Question : q66 - What is meant by quantisation and encoding?
- Question : q67 - What is a quantised boxcar signal?

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