RTU Kota BTech 3rd Semester Signals and Systems Question Paper 2023 (ECE and BI)

RTU Signals and Systems 2023 Paper Review

Preparing for the Rajasthan Technical University BTech Signals and Systems exam requires a firm grasp of mathematical modeling, system linearity, and frequency-domain transformations. For Electronics and Communication or Biomedical Engineering students designing analog filters, processing bio-electric feedback, or analyzing signal transmission channels, mastering these mathematical proofs is foundational. You cannot design reliable medical imaging systems or telecommunication networks without understanding impulse responses, convolution sums, and frequency spectrums.

The 2023 paper tests your capability to evaluate causal systems, compute convolution integrals, determine Fourier coefficients, and analyze system stability using region of convergence (ROC) mapping. Publishing this specific 3rd-semester paper review directly to exam-support.in provides your users exactly what they need to understand how examiners construct mathematical problems and distribute marks across transformation modules. This targeted preparation strategy helps approach the exam confidently, Aryan.

Understanding the Exam Pattern

The RTU theory examination is a three-hour paper worth 70 marks. The paper features three distinct sections designed to evaluate both theoretical classification definitions and complex mathematical derivations.

Part A: This section contains ten compulsory questions worth two marks each. You must define terms like memoryless system, state the condition for a system to be invertible, define the Nyquist rate, or explain the property of time-scaling under 30 words.

Part B: You will find seven questions here. You must answer five of them. Each question is worth four marks. Your answers require explaining the properties of the ROC in Z-transforms, checking the causality of a specific difference equation, or finding the discrete-time Fourier series coefficients of a basic periodic sequence.

Part C: This section offers five major questions. You need to answer three. Each question carries ten marks. These require you to calculate the discrete convolution sum of two sequences, find the Fourier transform of a signum function, or determine the inverse Z-transform using the partial fraction expansion method.

Core Topics Evaluated in the Paper

The 2023 question paper covers several critical modules that establish the mathematical rules for signal analysis. Focus your study time on these specific areas to maximize your score.

Classification of Signals and Systems

This module evaluates your ability to categorize signals and test system properties. Practice determining whether a given signal is even or odd, periodic or aperiodic. You must master testing systems for linearity, time-invariance, causality, and bounded-input bounded-output (BIBO) stability mathematically.

Linear Time-Invariant Systems and Convolution

LTI systems are completely characterized by their impulse response. You must master the execution of both the convolution integral for continuous-time systems and the convolution sum for discrete-time systems. Practice tabular and graphical methods for evaluating discrete convolution:

$$y[n] = \sum_{k=-\infty}^{\infty} x[k]h[n-k]$$

Fourier Analysis

This module transitions signals from the time domain to the frequency domain. You must know how to find the Fourier series coefficients for continuous and discrete periodic signals. Practice evaluating the Fourier transform of standard signals using transformation properties like time-shifting, frequency-shifting, and multiplication in time.

Laplace and Z-Transforms

Transforms convert calculus and difference equations into straightforward algebraic problems. The 2023 paper heavily emphasizes the Z-transform for discrete systems. Study the region of convergence (ROC) properties extensively for right-sided, left-sided, and two-sided sequences. You must determine system stability by mapping the pole locations; for a causal LTI system to be stable, all poles must lie strictly inside the unit circle:

$$|z| < 1$$

Answer Writing Strategy for High Marks

RTU evaluators look for step-by-step mathematical derivations, explicitly stated transform properties, and clearly labeled signal plots. Use a blue pen for text explanations, equations, and derivation steps. Use a black pen and ruler for drawing signal sequences, block diagrams, and pole-zero plots in the complex plane.

In Part A, answer directly. If a question asks for the definition of an invertible system, state clearly that it is a system where distinct inputs lead to distinct outputs, allowing the original input to be recovered from the output.

In Part B, show your mathematical proofs explicitly. When verifying if a system is linear, clearly demonstrate that the system response to a linear combination of inputs equals the linear combination of their individual responses, satisfying the superposition principle.

In Part C, mathematical precision is critical. When solving a ten-mark inverse Z-transform problem, write out the partial fraction expansion clearly, state the specific ROC provided in the question, and select the correct right-sided or left-sided inverse transform pair for each term before writing the final sequence $x[n]$.

Time Management During the Exam

Allocate exactly 20 minutes to Part A. Spend 40 minutes addressing the five short-answer questions in Part B. Reserve the remaining 120 minutes for the three long-answer questions in Part C. Evaluating summation limits, executing algebraic partial fractions, and plotting pole-zero maps requires steady focus and significant writing time. This distribution guarantees you 40 minutes per major question, giving you time to double-check your algebraic factoring. Use the final 10 minutes to verify your question numbering, ensure all transform pairs are properly stated, and check that your ROC shading matches the causal or anti-causal nature of the given system.