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Digital and analog signal processing
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Module 3
Analog Filter Design Principles
1
Filter Approximation Theory: A Historical Overview
Explain the historical development of filter approximation theory, from Butterworth to Chebyshev and Cauer (elliptic) filters.
2
Butterworth Filter: Derivation and Maximally Flat Response
Derive the Butterworth filter approximation and analyze its maximally flat magnitude response property.
3
Chebyshev Filter Approximations and Equiripple Analysis
Derive the Chebyshev Type I and Type II filter approximations and analyze their equiripple properties.
4
Elliptic Filter Approximation and Equiripple Analysis
Derive the elliptic (Cauer) filter approximation and analyze its equiripple behavior in both passbands and stopbands.
5
Filter Design Trade-offs
Analyze the trade-offs between filter order, transition bandwidth, and passband/stopband ripple for different filter types.
6
Frequency Transformations for Filter Design
Apply frequency transformations to convert a lowpass prototype filter to highpass, bandpass, and bandstop configurations.
7
Analog Filter Design: Type, Order, and Pole-Zero Placement
Design an analog filter to meet given specifications by determining the required filter type, order, and pole-zero locations.
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System Analysis in the s-Domain
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From Analog to Digital: Sampling and Reconstruction