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ENEX 351Bachelor in Electrical Engineering · Semester 61 Paper Available

Signal Analysis

Past examination question papers and complete curriculum syllabus for Signal Analysis (ENEX 351), Bachelor in Electrical Engineering Semester 6 under Institute of Engineering (IOE), Tribhuvan University.

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6th-sem_Signal Analysis.pdf

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Most Frequently Asked Questions

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

Showing 30 of 30 top repeated questions

Signal Classification and Elementary Operations

4 Questions
#1Repeated 4 Times[8 Marks]Signal Classification and Elementary Operations
Define and classify signals: continuous-time vs discrete-time, deterministic vs random, periodic vs aperiodic, and energy vs power signals. Determine if $x(t) = e^{-2t} u(t)$ is an energy or power signal and calculate its total energy.
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra2076 Chaitra
#2Repeated 3 Times[6 Marks]Signal Classification and Elementary Operations
Explain elementary signals: Unit impulse $\delta(t)$, unit step $u(t)$, unit ramp $r(t)$, and complex exponential signals. Prove the sifting property of the Dirac delta function: $\int_{-\infty}^\infty x(t) \delta(t - t_0) dt = x(t_0)$.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#3Repeated 3 Times[6 Marks]Signal Classification and Elementary Operations
Perform basic operations on the continuous signal $x(t)$: time shifting $x(t - t_0)$, time scaling $x(at)$, and time reversal $x(-t)$. Sketch $y(t) = x(2t + 3)$ for a given triangular pulse.
Appeared in:2082 Chaitra2080 Baishakh2078 Bhadra
#4Repeated 3 Times[6 Marks]Signal Classification and Elementary Operations
Decompose an arbitrary signal into its even and odd components. Prove that the product of two odd signals is an even signal.
Appeared in:2081 Chaitra2079 Baishakh2076 Baishakh

Continuous and Discrete Linear Time-Invariant Systems

5 Questions
#1Repeated 3 Times[8 Marks]Continuous and Discrete Linear Time-Invariant Systems
Define Linear Time-Invariant (LTI) systems. Test the system $y(t) = t x(t) + 5$ for linearity, time-invariance, causality, and BIBO stability.
Appeared in:2083 Baishakh2081 Bhadra2078 Chaitra
#2Repeated 3 Times[8 Marks]Continuous and Discrete Linear Time-Invariant Systems
Derive the convolution integral for continuous-time LTI systems: $y(t) = x(t) * h(t) = \int_{-\infty}^\infty x(\tau) h(t - \tau) d\tau$. State and prove properties of convolution.
Appeared in:2082 Bhadra2080 Chaitra2077 Chaitra
#3Repeated 3 Times[8 Marks]Continuous and Discrete Linear Time-Invariant Systems
Evaluate the convolution of two rectangular pulses $x(t) = u(t) - u(t - 2)$ and $h(t) = u(t) - u(t - 1)$ analytically and sketch the resulting waveform.
Appeared in:2082 Chaitra2079 Chaitra2076 Chaitra
#4Repeated 3 Times[8 Marks]Continuous and Discrete Linear Time-Invariant Systems
Derive the convolution sum for discrete-time LTI systems: $y[n] = \sum_{k=-\infty}^\infty x[k] h[n-k]$. Compute $y[n]$ when $x[n] = (0.5)^n u[n]$ and $h[n] = u[n]$.
Appeared in:2081 Bhadra2078 Bhadra2075 Chaitra
#5Repeated 3 Times[6 Marks]Continuous and Discrete Linear Time-Invariant Systems
State the necessary and sufficient condition for BIBO stability of an LTI system in terms of its impulse response: $\int_{-\infty}^\infty |h(t)| dt < \infty$.
Appeared in:2081 Baishakh2078 Chaitra2075 Bhadra

Continuous-Time Fourier Series and Transform

5 Questions
#1Repeated 3 Times[8 Marks]Continuous-Time Fourier Series and Transform
State Dirichlet conditions for the existence of Fourier series. Derive trigonometric and exponential Fourier series coefficients $a_0, a_n, b_n$ and $c_n$.
Appeared in:2083 Baishakh2080 Chaitra2078 Bhadra
#2Repeated 3 Times[8 Marks]Continuous-Time Fourier Series and Transform
Determine the trigonometric and exponential Fourier series for a periodic square wave of period $T_0$, amplitude $A$, and 50% duty cycle.
Appeared in:2082 Bhadra2081 Baishakh2077 Magh
#3Repeated 3 Times[6 Marks]Continuous-Time Fourier Series and Transform
State and prove Parseval's Power Theorem for periodic continuous signals: $P = \frac{1}{T_0} \int_{T_0} |x(t)|^2 dt = \sum_{n=-\infty}^\infty |c_n|^2$.
Appeared in:2082 Chaitra2079 Baishakh2076 Baishakh
#4Repeated 3 Times[8 Marks]Continuous-Time Fourier Series and Transform
Define the Continuous-Time Fourier Transform (CTFT) pair. Derive the Fourier transform of a rectangular pulse $x(t) = \text{rect}(t/\tau)$ and show that it is a $\text{sinc}$ function.
Appeared in:2081 Bhadra2078 Chaitra2075 Chaitra
#5Repeated 3 Times[8 Marks]Continuous-Time Fourier Series and Transform
State and prove properties of CTFT: Duality, Frequency Shifting (Modulation), Time Differentiation, and Convolution in time domain.
Appeared in:2083 Baishakh2080 Baishakh2077 Chaitra

Discrete-Time Fourier Transform and DFT

5 Questions
#1Repeated 3 Times[6 Marks]Discrete-Time Fourier Transform and DFT
Define the Discrete-Time Fourier Transform (DTFT) pair. Show that the spectrum $X(e^{j\omega})$ is periodic with period $2\pi$.
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra
#2Repeated 3 Times[8 Marks]Discrete-Time Fourier Transform and DFT
Compute the DTFT of $x[n] = a^n u[n]$ for $|a| < 1$. Plot the magnitude and phase spectra.
Appeared in:2082 Bhadra2080 Chaitra2077 Chaitra
#3Repeated 3 Times[8 Marks]Discrete-Time Fourier Transform and DFT
Define the Discrete Fourier Transform (DFT) and its inverse (IDFT). Explain the relationship between DTFT, DFT, and continuous Fourier transform.
Appeared in:2082 Chaitra2080 Baishakh2078 Bhadra
#4Repeated 3 Times[8 Marks]Discrete-Time Fourier Transform and DFT
Explain circular convolution in DFT. How does circular convolution differ from linear convolution, and how is linear convolution computed using zero-padding and DFT?
Appeared in:2081 Chaitra2078 Chaitra2076 Chaitra
#5Repeated 3 Times[8 Marks]Discrete-Time Fourier Transform and DFT
Describe the Radix-2 Decimation-In-Time (DIT) Fast Fourier Transform (FFT) algorithm. Show the butterfly computational structure for an 8-point DFT.
Appeared in:2081 Baishakh2079 Baishakh2075 Bhadra

Laplace Transform and s-Domain System Analysis

4 Questions
#1Repeated 3 Times[8 Marks]Laplace Transform and s-Domain System Analysis
Define bilateral and unilateral Laplace Transform with Region of Convergence (ROC). Discuss ROC properties for causal, anti-causal, and two-sided signals.
Appeared in:2083 Baishakh2081 Bhadra2078 Chaitra
#2Repeated 3 Times[6 Marks]Laplace Transform and s-Domain System Analysis
Find the Laplace transform and ROC of $x(t) = e^{-3t} u(t) - e^{2t} u(-t)$.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#3Repeated 3 Times[8 Marks]Laplace Transform and s-Domain System Analysis
Using the unilateral Laplace transform, solve the second-order differential equation $\frac{d^2 y}{dt^2} + 4 \frac{dy}{dt} + 3y(t) = 2 u(t)$ with initial conditions $y(0^-) = 1$ and $y'(0^-) = 0$.
Appeared in:2082 Chaitra2079 Chaitra2076 Chaitra
#4Repeated 3 Times[8 Marks]Laplace Transform and s-Domain System Analysis
Explain system transfer function $H(s)$. Relate pole locations in the $s$-plane to system stability, damping ratio $\zeta$, and transient response.
Appeared in:2081 Bhadra2078 Bhadra2075 Chaitra

Z-Transform and Discrete System Analysis

4 Questions
#1Repeated 3 Times[8 Marks]Z-Transform and Discrete System Analysis
Define the Z-Transform pair with Region of Convergence (ROC). Discuss ROC properties for finite-duration, right-sided, left-sided, and two-sided sequences.
Appeared in:2083 Baishakh2080 Chaitra2078 Bhadra
#2Repeated 3 Times[8 Marks]Z-Transform and Discrete System Analysis
Determine the inverse Z-Transform of $X(z) = \frac{1}{(1 - 0.5z^{-1})(1 - 2z^{-1})}$ for: (a) ROC: $|z| > 2$, (b) ROC: $0.5 < |z| < 2$, (c) ROC: $|z| < 0.5$.
Appeared in:2082 Bhadra2081 Baishakh2077 Chaitra
#3Repeated 3 Times[8 Marks]Z-Transform and Discrete System Analysis
Solve the linear difference equation $y[n] - 0.75 y[n-1] + 0.125 y[n-2] = x[n]$ with $x[n] = u[n]$ using the Z-Transform method with zero initial conditions.
Appeared in:2082 Chaitra2079 Baishakh2076 Baishakh
#4Repeated 3 Times[6 Marks]Z-Transform and Discrete System Analysis
Explain discrete system transfer function $H(z)$ and relate stability criteria to pole locations with respect to the unit circle $|z| = 1$.
Appeared in:2081 Chaitra2078 Chaitra2075 Bhadra

Sampling Theorem and Aliasing

3 Questions
#1Repeated 3 Times[8 Marks]Sampling Theorem and Aliasing
State and prove the Nyquist-Shannon Sampling Theorem for bandlimited continuous-time signals. Derive the ideal reconstruction formula using the $\text{sinc}$ interpolation function.
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra
#2Repeated 3 Times[6 Marks]Sampling Theorem and Aliasing
Explain the phenomenon of aliasing in frequency domain during undersampling ($f_s < 2 f_m$). Discuss anti-aliasing low-pass filter design.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#3Repeated 3 Times[8 Marks]Sampling Theorem and Aliasing
Compare ideal impulse sampling, natural sampling, and flat-top sampling (with sample-and-hold circuit). Explain aperture distortion in flat-top sampling.
Appeared in:2081 Baishakh2078 Bhadra2076 Chaitra

Curriculum Syllabus & Course Topics

Sourced from TU curriculum portal
Full Syllabus (PDF)
Chapter-wise Units & Micro-Syllabus Topics (7 Units)

  1. 1. Signal Classification and Elementary Operations

    5

  2. 2. Continuous and Discrete Linear Time-Invariant Systems

    6

  3. 3. Continuous-Time Fourier Series and Transform

    8

  4. 4. Discrete-Time Fourier Transform and DFT

    8

  5. 5. Laplace Transform and s-Domain System Analysis

    6

  6. 6. Z-Transform and Discrete System Analysis

    6

  7. 7. Sampling Theorem and Aliasing

    4

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.

Frequently Asked Questions (Signal Analysis)

Q: How can I download Signal Analysis past question papers?

You can preview or download the Signal Analysis question papers (PDF) directly using the built-in viewer on this page with zero redirects or paywalls.

Q: What is the pass mark for Signal Analysis?

The general current scheme is a 60-mark final theory exam and a 40-mark internal assessment, with pass marks of 24 and 16. Verify the course-specific syllabus above.

Q: Where can I find the complete syllabus for this subject?

The available chapter-wise syllabus and topic breakdown is indexed in the Syllabus section above, with links to the curriculum PDF source.

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