Basic Signals and Systems (B.Tech)

Signal classification, LTI systems, Fourier, Laplace and Z-transforms.

6 महीनेअवधि 5Chapters22टॉपिक

सिलेबस · पाठ्यक्रम

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01Signals and Their Classification 5 टॉपिक
  1. Continuous and discrete-time signals
  2. Even, odd, periodic and aperiodic signals
  3. Energy and power signals
  4. Unit step, impulse, ramp and exponential
  5. Time shifting, scaling and reversal
02Systems and LTI Systems 4 टॉपिक
  1. Linearity, time invariance, causality, stability, memory
  2. Impulse response
  3. Convolution integral and convolution sum
  4. Properties of LTI systems
03Fourier Series and Fourier Transform 5 टॉपिक
  1. Trigonometric and exponential Fourier series
  2. Dirichlet conditions
  3. Fourier transform and its properties
  4. Parseval's theorem
  5. Frequency response of LTI systems
04Laplace Transform 4 टॉपिक
  1. Laplace transform and region of convergence
  2. Properties and inverse Laplace transform
  3. Initial and final value theorems
  4. Transfer function and system analysis
05Z-Transform and Sampling 4 टॉपिक
  1. Sampling theorem and aliasing
  2. Z-transform and ROC
  3. Properties and inverse Z-transform
  4. Analysis of discrete-time LTI systems

परिचय

आप यह कर पाएँगे

  • Classify continuous and discrete-time signals and perform basic operations on them
  • Test systems for linearity, time invariance, causality and stability
  • Compute convolution and find the response of LTI systems
  • Represent periodic signals by Fourier series and find Fourier transforms
  • Use Laplace transform to analyse continuous-time LTI systems
  • Use the Z-transform and sampling theorem for discrete-time systems

यह किसके लिए है

  • B.Tech Electrical Engineering students of Semester 3 (AKTU)
  • Students of other universities studying the same subject who want unit-wise coaching

आपको क्या चाहिए

  • Engineering Mathematics (integration, complex numbers)
  • Basic Electrical Engineering

सवाल

Which syllabus does the Basic Signals and Systems course follow?

It follows the AKTU (Dr. A.P.J. Abdul Kalam Technical University, Lucknow) B.Tech syllabus for Basic Signals and Systems. If your own university's syllabus differs, the centre follows your university syllabus.

Will this help in the university examination?

Yes. Teaching is unit-wise as per the AKTU scheme, with numericals, previous-year question practice, MCQ tests and doubt sessions before the semester exam.

Do I need MATLAB?

Not for the theory exam, but simple MATLAB / Python plots are shown to make convolution and spectra easy to understand.

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