Important RGPV Question

EC-402 (Signal & System)

IV Sem, EC

UNIT-1 Introduction of Signals, Systems & their Classification

Q.1 Define signal. Classify the different types of signal in detail using time domain technique.

(RGPV Nov 2023) 

Q.2 Identify the following signals are energy signal or power signal or neither-

(RGPV Nov 2023)

Q.3 Define system. Explain the different types of system with examples.

(RGPV Nov 2023) 

Q.4 Determine whether the following systems-

(RGPV Nov 2023) 

Q.5 Define signal and classify different types of signals with proper representation.

(RGPV June 2023) 

Q.6 Differentiate following

i) Periodic and aperiodic signals

ii) Random and deterministic signals

iii) Even and odd signals

(RGPV June 2023) 

Q.7 Describe following in brief

i) Causal and noncausal system

ii) Additivity and homogeneity

iii) Causality and realizability

(RGPV June 2023) 

Q.8 Explain the following signals with examples.

i) Continuous Time and discrete time

ii) Periodic and Aperiodic

iii) Energy and Power

(RGPV June 2022)

Q.9 Check whether the following are stable, causal and memory less

(RGPV June 2022) 

Q.10 Find out whether the following signals are periodic or not. If periodic find the period

(RGPV June 2022) 

Q.11 Obtain the parallel realization of the system given by

(RGPV June 2022)

Q.12 With the help of examples, explain the following properties of signals.

i) Time shifting

ii) Time scaling

iii) Time reversal

(RGPV Dec 2020)

Q.13 Which of the following systems are BIBO stable?

(RGPV Dec 2020) 

Q.14 Which of the following systems are non linear?

(RGPV Dec 2020)

Q.15 Write short notes on Classification of signals

(RGPV Dec 2020)

UNIT – 2 Linear Time-Invariant Systems

Q.1 What is Convolution? Find the Convolution integral of the signals x(t) = e-2t u(t) and h(t) = e-4t u(t). 

(RGPV Nov 2023) 

Q.2 Comment on the causality and stability of the given system

h(t)= (2+ e-3t) u(t) 

Also find the step response of the system.

(RGPV Nov 2023) 

Q.3 Write properties of the impulse response representation for LTI systems.

(RGPV June 2023) 

Q.4 Discuss impulse response representation for LTI system and describe LTI system by difference equations.

(RGPV June 2023) 

Q.5 Explain block diagram representations for following:

i) Direct form – I and Direct form – II

ii) Cascade and parallel form

(RGPV June 2023)

Q.6 Given the impulse response of a discrete time LTI system

i) Find the system function H(z) of the system.

ii) Find the difference equation representation of the system.

iii) Find the step response of the system.

(RGPV June 2022)

Q.7 Write short note on Convolution.

(RGPV June 2022) 

Q.8 What is convolution integral? State the distributive, commutative and associative property of convolution.

(RGPV Dec 2020) 

Q.9 The unit impulse response of a linear time invariant system is the unit step function u(t). For t >0, find the response of the system to an excitation e-at u(t) for a>0.

(RGPV Dec 2020) 

Q.10 What is the necessary and sufficient condition on the impulse response for

i) Causality

ii) Stability

(RGPV Dec 2020) 

Q.11 The impulse response h(n) of a linear time invariant system is given by h(n) = u(n+3)+u(n-2)-2u(n-7) Is the system stable? Is the system causal?

(RGPV Dec 2020) 

Q.12 Find the convolution of

X1(n)={1,-2,3,1}

X2(n)={2,-3,2}

(RGPV Dec 2020)

 

UNIT – 3 z-Transform 

Q.1 Show a direct form-I realization of the transfer function-

(RGPV Nov 2023) 

Q.2 State and prove initial value theorem of z transform. Also find the initial value and final value of the given signal.

(RGPV Nov 2023) 

Q.3 Find z-transform of the given signal-

(RGPV Nov 2023)

 Q.4 State and prove any four z-transform properties.

(RGPV Nov 2023)

Q.5 Using partial fraction expansion find the inverse z-transform of

 

(RGPV June 2023)

 Q.6 Consider the signal   

 Evaluate the z-transform of this signal and specify the corresponding region of convergence.

(RGPV June 2023) 

Q.7 Describe following in brief

i) ROC of finite and infinite duration sequence

ii) Properties of the ROC and Z-transform

(RGPV June 2023)

Q.8 Discuss properties and application of discrete time Fourier series.

(RGPV June 2023) 

Q.9 Derive the following properties of Z Transform

i) Time Shifting

ii) Initial Value Theorem

iii) Convolution

(RGPV June 2022)

 Q.10 Define the ROC and its Properties.

(RGPV June 2022) 

 Q.11 

 (RGPV June 2022) 

Q.12 Write short notes on Unilateral Z transforms.

(RGPV June 2022) 

Q.13 Find the z-transform and ROC of the following sequences

i) x(n)=u(n)-u (n-3)

ii) x(n)= (1, 2, 3, 2)

iii) x(n)={1,2,-1, 2, 3}

(RGPV Dec 2020) 

Q.14 State and prove the scaling and time shifting properties of z transform.

(RGPV Dec 2020) 

Q.15 Write short notes on ROC of finite duration sequence

(RGPV Dec 2020)

UNIT – 4 Fourier Analysis of Discrete Time Signals 

Q.1 Find the exponential Fourier series and plot the magnitude and phase spectra of the following triangular wave form.

(RGPV Nov 2023) 

Q.2 Find the Fourier Transform of Rectangular pulse. Sketch the signal and Fourier transform.

(RGPV Nov 2023) 

Q.3 Demonstrate time shifting property and time-scaling property of Fourier transform.

(RGPV Nov 2023)

 Q.4 Obtain DTFT of following signals-

(RGPV Nov 2023)

Q.5 Use the Fourier series analysis to calculate the coefficients a for the continuous time periodic signal.

(RGPV June 2023) 

Q.6 Compute the Fourier transform of the following signals.

(RGPV June 2023) 

Q.7 Discuss convergence of discrete time Fourier transform and write applications of DTFT.

(RGPV June 2023) 

Q.8 State and prove any three properties of Fourier Transform

(RGPV June 2022)

Q.9 Using the properties of Fourier Transform find the X(jω) and G(jω)

 

(RGPV June 2022)

Q.10 Write short note on Applications of DTFT.

(RGPV June 2022) (RGPV Dec 2020) 

Q.11 Write any two properties of Discrete Time Fourier Transform (DTFT) and prove them.

(RGPV Dec 2020) 

Q.12 Find the Fourier series of the following discrete-time signal.

(RGPV Dec 2020) 

Q.13 Obtain the direct form-I realization for the system described by the difference equation

(RGPV Dec 2020) 

Q.14 Obtain parallel form realization of the discrete time system described by the difference equation

(RGPV Dec 2020)

 

UNIT – 5 State-space Analysis & Multi-input 

Q.1 State and prove sampling theorem and discuss the effect of under sampling.

(RGPV Nov 2023) 

Q.2 Write short notes on –

i) State space analysis

ii) State transition matrix

(RGPV Nov 2023) 

Q.3 How multi-input, multi-output systems are represented in state space? Take 3 input 2 output system and represent it in state space form.

(RGPV June 2023) 

Q.4 Write properties and role of state transition matrix. Also describe any two methods to determine state transition matrix.

(RGPV June 2023) 

Q.5 Discuss following in detail:

i) Sampling theorem and its implications

ii) Reconstruction of a signal from its samples

(RGPV June 2023) 

Q.6 State and explain sampling theorem with necessary equation and illustration.

(RGPV June 2022) 

Q.7 Explain various methods of evaluation of state transition matrix with suitable example.

(RGPV June 2022) 

Q.8 Write short note on State space analysis.

(RGPV June 2022) (RGPV Dec 2020)

 

— Best of Luck for Exam —