AKTU Basic Signal & Systems · Important Questions 2026Source: ryzenstudy.com PYQs
BEE303 Basic Signal & Systems Important Questions 2026 (AKTU)
Repeat analysis + most-asked questions, unit-wise
What we did: built from all 3 AKTU Basic Signal & Systems papers (2022-23–2025-26): 69 questions grouped into 55 distinct questions, 12 of which were asked in more than one paper.
- of marks were repeat questions
- —
- of marks were repeat questions
- questions asked in 2+ papers
- 12
- questions asked in 2+ papers
- papers analysed (2022-23–2025-26)
- 3
- papers analysed (2022-23–2025-26)
- units, mapped to current syllabus
- 5
- units, mapped to current syllabus
How much of the paper repeats?
- Not enough papers yet to measure this for this subject.
Across 10 subjects and 23 papers we tested, 43% of marks repeated earlier questions on average.
1.Unit-wise most-asked questions
Ranked by how many papers asked them, then by how recently. Click a paper to open it.
Unit 1: Pre- Requisites · Analogous System
18% of past marks| Question | Asked |
|---|---|
| Derive the differential equations of motion and construct the equivalent Force-Current (Mobility) and Force-Voltage (Impedance) electrical circuits (see original paper). | Asked 2× |
| Classify signals into energy and power signals. Derive the condition for each. | Asked 2× |
| Explain different types of systems with examples in detail. | Asked 2× |
| For a given signal (see original paper): (i) Test whether the signal is energy or power signal (ii) Find its total energy (iii) Comment on its causality. 7 marks2025-26 Q2(a) | Asked 1× |
Unit 2: Pre- Requisites
20% of past marks| Question | Asked |
|---|---|
| Compute the Fourier transform of the signal x(t) = e^(-at) u(t). | Asked 2× |
| Explain the phenomenon of sampling with the help of frequency-domain interpretation and derive Nyquist criterion. 7 marks2025-26 Q2(b) | Asked 1× |
| Mathematically justify why the Discrete-Time Fourier Series (DTFS) exists for any periodic sequence, whereas the Discrete-Time Fourier Transform (DTFT) requires the sequence to be absolutely summable (sum |x[n]| < infinity). How does the introduction of the Dirichlet conditions reconcile these differences in practical hardware implementations? 7 marks2025-26 Q4(b) | Asked 1× |
| A non-periodic pulse v(t) = e^(-a|t|) is applied to a bridge T-network. Use the Fourier Transform properties (specifically Convolution and Differentiation) to determine the output voltage vo(t) in the frequency domain. Discuss the physical significance of the "Energy Spectral Density" of the output signal. 7 marks2025-26 Q4(a) | Asked 1× |
Unit 3: Pre- Requisites
24% of past marks| Question | Asked |
|---|---|
| State and prove the Initial Value Theorem of Laplace Transform. | Asked 2× |
| Express a periodic sawtooth waveform with period T as a sum of shifted ramp functions and determine its Laplace transform. 7 marks2025-26 Q2(c) | Asked 1× |
| Obtain the Laplace Transform of the given waveform and hence determine its inverse Laplace Transform (see original paper). 7 marks2025-26 Q5(a) | Asked 1× |
| A second-order system has the given transfer function (see original paper). Determine: (i) Impulse response (ii) Stability (iii) Steady-state value of step response using Final Value Theorem. 7 marks2025-26 Q5(b) | Asked 1× |
Unit 4: Pre- Requisites
18% of past marks| Question | Asked |
|---|---|
| Derive the relationship between the transfer function and the state matrices: H(s) = C(sI - A)^(-1) B + D. | Asked 2× |
| Derive state-space representation of a series RLC circuit and obtain the state equations by selecting appropriate state variables. | Asked 2× |
| Explain the state transition matrix with proof and also describe its properties. | Asked 2× |
| What are the advantages of the state model over the transfer function? | Asked 2× |
Unit 5: Pre- Requisite
20% of past marks| Question | Asked |
|---|---|
| Find the Z-transform and ROC of the given sequence (see original paper). Also determine whether the system is stable. | Asked 3× |
| A causal LTI system is described by the given difference equation (see original paper). Find the impulse response h[n]. | Asked 2× |
| Write the properties of ROC for Z-transform. | Asked 2× |
| Define the Region of Convergence (ROC) for Z-transforms. Explain how the ROC determines the causality and stability of a discrete-time system. 7 marks2025-26 Q2(e) | Asked 1× |
2.Topic weightage: which topics carry the marks
Blue = Tier 1 + Tier 2 (topics that carried ~80% of past marks). Grey = the rest. It shows where marks have gone, not a promise of what comes next.
Fourier transform and properties · U2
7.6% (cum 8%)
Z-transform and ROC · U5
6.6% (cum 14%)
State transition matrix · U4
6.3% (cum 21%)
Fourier series and symmetry · U2
6.3% (cum 27%)
Convolution and impulse response · U3
6% (cum 33%)
System types and properties · U1
5.9% (cum 39%)
Transfer function and state variables · U4
5.3% (cum 44%)
Z-transform of common functions · U5
5.3% (cum 49%)
State-space representation · U4
5% (cum 54%)
Difference equations · U5
5% (cum 59%)
Transfer function · U3
4.3% (cum 64%)
Waveform synthesis · U3
3.7% (cum 67%)
Classification of signals · U1
3.6% (cum 71%)
Force-voltage / force-current analogy · U1
3.3% (cum 74%)
Initial and final value theorems · U3
3% (cum 77%)
Sampling theorem · U2
3% (cum 80%)
Standard signals · U1
2.3% (cum 82%)
Laplace transform and ROC · U3
2.3% (cum 85%)
First and second order systems · U1
1.7% (cum 86%)
Fourier analysis of networks · U2
1.7% (cum 88%)
DTFS and DTFT · U2
1.7% (cum 90%)
Inverse Laplace transform · U3
1.7% (cum 92%)
Network analysis using Laplace · U3
1.7% (cum 93%)
Solution of state equations · U4
1.7% (cum 95%)
Inverse Z-transform · U5
1.7% (cum 97%)
Initial and final value theorems (Z) · U5
1.7% (cum 98%)
Mechanical elements · U1
1% (cum 99%)
Laplace transform properties · U3
1% (cum 100%)
| Topic | Papers | Share |
|---|---|---|
| Fourier transform and properties · Unit 2 · Tier 1 | 3/3 | 7.6% |
| Z-transform and ROC · Unit 5 · Tier 1 | 3/3 | 6.6% |
| State transition matrix · Unit 4 · Tier 1 | 3/3 | 6.3% |
| Fourier series and symmetry · Unit 2 · Tier 1 | 2/3 | 6.3% |
| Convolution and impulse response · Unit 3 · Tier 1 | 2/3 | 6% |
| System types and properties · Unit 1 · Tier 1 | 3/3 | 5.9% |
| Transfer function and state variables · Unit 4 · Tier 1 | 3/3 | 5.3% |
| Z-transform of common functions · Unit 5 · Tier 1 | 3/3 | 5.3% |
| State-space representation · Unit 4 · Tier 1 | 3/3 | 5% |
| Difference equations · Unit 5 · Tier 2 | 3/3 | 5% |
| Transfer function · Unit 3 · Tier 2 | 3/3 | 4.3% |
| Waveform synthesis · Unit 3 · Tier 2 | 1/3 | 3.7% |
| Classification of signals · Unit 1 · Tier 2 | 2/3 | 3.6% |
| Force-voltage / force-current analogy · Unit 1 · Tier 2 | 2/3 | 3.3% |
| Initial and final value theorems · Unit 3 · Tier 2 | 2/3 | 3% |
| Sampling theorem · Unit 2 · Tier 2 | 1/3 | 3% |
| Standard signals · Unit 1 · Tier 3 | 1/3 | 2.3% |
| Laplace transform and ROC · Unit 3 · Tier 3 | 1/3 | 2.3% |
| First and second order systems · Unit 1 · Tier 3 | 1/3 | 1.7% |
| Fourier analysis of networks · Unit 2 · Tier 3 | 1/3 | 1.7% |
| DTFS and DTFT · Unit 2 · Tier 3 | 1/3 | 1.7% |
| Inverse Laplace transform · Unit 3 · Tier 3 | 1/3 | 1.7% |
| Network analysis using Laplace · Unit 3 · Tier 3 | 1/3 | 1.7% |
| Solution of state equations · Unit 4 · Tier 3 | 1/3 | 1.7% |
| Inverse Z-transform · Unit 5 · Tier 3 | 1/3 | 1.7% |
| Initial and final value theorems (Z) · Unit 5 · Tier 3 | 1/3 | 1.7% |
| Mechanical elements · Unit 1 · Tier 3 | 1/3 | 1% |
| Laplace transform properties · Unit 3 · Tier 3 | 1/3 | 1% |
3.Paper pattern (2025-26)
| Section | Questions | Rule |
|---|---|---|
| A | 7 × 2 marks | Attempt all |
| B | 5 × 7 marks | Attempt any 3 |
| C | 10 × 7 marks | Attempt any 1 |
4.In the syllabus, never asked yet
Low priority, but read them once — a new paper can always start here.
- Transformation of variable · U1
- Applications of state variables · U4
- Properties of Z-transform · U5
5.Study order
- 1Fourier transform and properties (Unit 2, Tier 1)
- 2Z-transform and ROC (Unit 5, Tier 1)
- 3State transition matrix (Unit 4, Tier 1)
- 4Fourier series and symmetry (Unit 2, Tier 1)
- 5Convolution and impulse response (Unit 3, Tier 1)
- 6System types and properties (Unit 1, Tier 1)
- 7Transfer function and state variables (Unit 4, Tier 1)
- 8Z-transform of common functions (Unit 5, Tier 1)
- 9State-space representation (Unit 4, Tier 1)
- 10Difference equations (Unit 5, Tier 2)
- 11Transfer function (Unit 3, Tier 2)
- 12Waveform synthesis (Unit 3, Tier 2)
- 13Classification of signals (Unit 1, Tier 2)
- 14Force-voltage / force-current analogy (Unit 1, Tier 2)
- 15Initial and final value theorems (Unit 3, Tier 2)
- 16Sampling theorem (Unit 2, Tier 2)
FAQ
Which units of BEE303 carry the most marks?
Unit 3 (Pre- Requisites, 24% of past marks) and Unit 2 (Pre- Requisites, 20% of past marks).
Do AKTU Basic Signal & Systems questions repeat?
12 questions have appeared in more than one of the 3 papers so far. There are not enough papers yet to measure the repeat share reliably.
How is this list made?
Every question from the 3 papers (2022-23–2025-26) was mapped to the current AKTU syllabus and grouped with the same question from other years. Questions are ranked by how many papers they appeared in, then by how recently.
Study this subject
Note: this is based on past AKTU papers, not a guarantee. Questions are mapped to the current syllabus; topics that are no longer in the syllabus are left out.