Syllabus
Unit 1
Linear Algebraic Signal Models and System Representation
Normed spaces, inner product spaces, and Hilbert spaces, Linear independence, orthogonality, orthonormal basis, Eigenvalues, eigenvectors, and Singular Value Decomposition (SVD), Linear Time-Invariant (LTI) systems: convolution and impulse response, Signal subspaces and state-space/difference equation-based system modeling.
Unit 2
Spectral Signal Characterization and Discrete-Time System Analysis
Fourier Transform (Continuous-Time Fourier Transform (CTFT), Discrete-Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT ): Definition and their properties, Z-Transform, Inverse Z-Transform and their properties: region of convergence, stability, causality, Transfer functions of LTI systems, Hilbert Transform, analytic signals, and complex envelopes. Power and energy spectral density, Parseval’s theorem, Sampling theory: aliasing, anti-aliasing, and reconstruction filters, Multirate processing: interpolation and decimation techniques.
Unit 3
Time-Frequency Localization and Multiresolution Analysis
Short-Time Fourier Transform (STFT) and spectrogram computation, Limitations of fixed-resolution Fourier methods, Continuous Wavelet Transform (CWT) and Discrete Wavelet Transform (DWT), Time-frequency localization and multiresolution signal analysis, Wavelet filter banks, decomposition levels, and signal denoising strategies.
Unit 4
Advanced Digital and Adaptive Filtering Techniques
Design and implementation of digital IIR and FIR filters, Kalman filtering for state estimation and prediction in time-series, Wiener filtering for optimal signal estimation in noisy environments, Adaptive filtering algorithms -Least Mean Squares (LMS), Recursive Least Squares (RLS), Median and nonlinear filters for robust artifact suppression in physiological and environmental data.
Laboratory: Sampling, Spectral and Discrete Analysis, Time-Frequency Techniques, and Filtering Methods Applied to Real-World Signal Processing.
Objectives and Outcomes
Course Outcome Statement (CO)
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CO No.
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Course Outcome
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|
CO1
|
Apply mathematical signal modeling concepts to represent and analyze sensor data.
|
|
CO2
|
Perform spectral and time-frequency analyses to extract features from sensor signals.
|
|
CO3
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Apply sampling theory, multirate signal processing, and advanced filtering to optimize sensor data acquisition and enhancement.
|
|
CO4
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Design and implement signal preprocessing pipelines using MATLAB/Python for intelligent decision-making in real-world sensor applications.
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CO – PO Affinity Map
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PO
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PO1
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PO2
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PO3
|
PO4
|
PO5
|
PO6
|
PO7
|
PO8
|
PO9
|
PO10
|
PO11
|
PO12
|
PS01
|
PSO2
|
PSO3
|
|
CO
|
|
CO1
|
3
|
3
|
3
|
–
|
2
|
–
|
2
|
–
|
2
|
–
|
–
|
1
|
2
|
–
|
–
|
|
CO2
|
3
|
3
|
2
|
–
|
2
|
–
|
3
|
–
|
2
|
–
|
–
|
1
|
3
|
–
|
–
|
|
CO3
|
3
|
3
|
3
|
–
|
3
|
–
|
2
|
–
|
2
|
–
|
–
|
1-
|
3
|
–
|
–
|
|
CO4
|
3
|
3
|
3
|
–
|
3
|
–
|
2
|
–
|
3
|
–
|
–
|
2
|
3
|
–
|
–
|
3-strong, 2-moderate, 1-weak