ENEX 255Bachelor in Electronics, Communication and Information Engineering · Semester 41 Paper Available

Signals and Systems

Past examination question papers and complete curriculum syllabus for Signals and Systems (ENEX 255), Bachelor in Electronics, Communication and Information Engineering Semester 4 under Institute of Engineering (IOE), Tribhuvan University.

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Most Frequently Asked Questions

Top recurring IOE board exam questions for Signals and Systems with verified mark schemes, formula notation, and recurrence frequency.

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Year-wise & Session-wise Exam Papers

Complete questions from each exam session (Regular & Back exams from 2082 to 2069) for Signals and Systems. Click any session paper to expand.

Showing 325 questions across 28 exam session papers
Institute of Engineering • 2083 Baishakh Board Examination
Q1[4 Marks]Fourier Series
(a) Derive the exponential form of the Fourier series of a discrete-time signal. [4] (b) Find and plot the Fourier series coefficients for the following signal with period .
Q2[4 Marks]Fourier Series
a) Derive the trigonometric fourier series expansion of a continuous-time periodic signal . [5] b) State and prove the time-scaling property for continuous-time fourier series pair. [5] c) State and prove frequency shifting property of discrete time fourier series.
Q3[4 Marks]Frequency Response of Continuous and Discrete Time Systems
(a) Describe the frequency response of a continuous-time LTI system. [4] (b) Derive the transfer function of the RC low-pass filter and plot the magnitude and phase.
Q4[4 Marks]Signal and its Types
(a) Define signals both in continuous time and discrete time with examples. Give the difference between them. [4] (b) Determine whether the following signal is energy or power signal.\n(i) ii)
Q5[5 Marks]Fourier Transform
(a) Derive the Fourier transform pair equations of a discrete-time signal. [5] (b) Find the continuous time Fourier transform of the signal . Discuss the result.
Q6[4 Marks]Linear Time Invariant (LTI) System
(a) Derive the convolution sum of a discrete-time signal. [4] (b) Find the convolution sum of and Choose your own origin.
Q7[4 Marks]Sampling
(a) Define sampling theorem. Explain the aliasing effect and its cause. Find the Nyquist rate and Nyquist time interval of the following signal. [2+2+2] (b) Find the frequency response of the following signal

Curriculum Syllabus & Course Topics

Sourced from TU curriculum portal
Chapter-wise Units & Micro-Syllabus Topics (6 Units)
  1. 1. Signal and its Types

    • 1.1Introduction to signal and signal processing
    • 1.2Classification of signal based on dimension
    • 1.3Classification of one-dimensional signal (CT and DT) and properties
    • 1.4Fundamental signals: Delta function, unit step, ramp, rectangular pulse, signum function
    • 1.5Relationship between unit step and delta function
    • 1.6Signal classification based on causality
    • 1.7Classification of signals based on periodicity (CT and DT)
    • 1.8Transformation of the independent variable
    • 1.9Energy and power signals
    • 1.10Even and odd signals
    • 1.11System, types of systems: Linear and non-linear, causal and non-causal, time-invariant and time-variant
  2. 2. Fourier Series

    • 2.1Introduction to Fourier series
    • 2.2Fourier series representation of continuous time periodic signal
    • 2.3Properties of continuous time Fourier series: Linearity, time shifting, time scaling, time reversal, convolution, multiplication, frequency shifting, conjugate symmetry, Parseval’s relation
    • 2.4Fourier series representation of discrete time periodic signal
    • 2.5Properties of discrete time Fourier series: Linearity, time shifting, time scaling, time reversal, convolution, modulation, conjugate symmetry, Parseval’s relation
    • 2.6Applications of Fourier series
  3. 3. Fourier Transform

    • 3.1Introduction to Fourier transform
    • 3.2Continuous time Fourier transform
    • 3.3Properties of continuous time Fourier transform: Linearity, time shifting, frequency shifting, time scaling, time reversal, convolution, multiplication, duality, conjugation, Parseval’s relation
    • 3.4Discrete time Fourier transform
    • 3.5Properties of discrete time Fourier transform: Linearity, time shifting, frequency shifting, time reversal, convolution, modulation, conjugation, Parseval’s relation
    • 3.6Fourier transform for periodic signals
    • 3.7Applications of Fourier transform
  4. 4. Linear Time Invariant (LTI) System

    • 4.1Linear time invariant (LTI) system
    • 4.2Convolution integral properties of LTI system
    • 4.3Representation of discrete-time signals in terms of impulses
    • 4.4Convolution sum
    • 4.5Representation of continuous-time signals in terms of impulses
    • 4.6Convolution integral
  5. 5. Sampling

    • 5.1Introduction to sampling
    • 5.2Sampling theorem
    • 5.4Signal reconstruction from sampled version
    • 5.5Aliasing
    • 5.6Band limited signals
  6. 6. Frequency Response of Continuous and Discrete Time Systems

    • 6.1Frequency response of continuous time systems
    • 6.2Transfer function of continuous time system
    • 6.3Impulse response of ideal low-pass, band-pass and high-pass filter
    • 6.4Response of ideal low pass filter to a step function input
    • 6.5Frequency and Impulse response of RC filter
    • 6.6Frequency response of discrete time systems: Transfer function
    • 6.7Impulse response of low-pass, band-pass and high-pass filter

Examination Scheme & Marks Distribution

Evaluation Structure

  • Final Board Theory Exam: 60 Marks (Pass mark: 24)
  • Internal Assessment: 40 Marks (Pass mark: 16)
  • Practical / Lab Exam: 25 or 50 Marks (Continuous lab evaluation + viva, where applicable)

* This is the general current IOE 60/40 scheme; verify course-specific details in the syllabus above.

Exam Preparation Guidelines

  • Review the available past examination paper to understand question styling, typical derivation topics, and marks allocation.
  • Practice drawing labeled circuit schematics, deriving transfer functions, and showing systematic mathematical steps.
  • Structure answers with labeled diagrams, concise bullet points, and highlight final answers in numerical solutions.
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Curriculum Syllabus & Marking Scheme