This document discusses ideal and practical filters, signal distortion over communication channels, energy spectral density, energy of modulated signals, linear time invariant systems, power spectral density, and signal power. It provides figures and examples to illustrate these concepts. The document concludes by assigning homework problems related to these topics from the exercises.

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Ideal andIdeal and
Practical FiltersPractical Filters
Lecture 6Lecture 6

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DiscussionDiscussion Causal signal starts at t=0 and continues to run towards t-infinity.

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Digital Filters
Advantages

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3.6 Signal Distortion over a Communication Channel3.6 Signal Distortion over a Communication Channel
Effects on TDM &FDM:

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Figure: 3.35 a & b

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Energy Spectral Density (ESD)Energy Spectral Density (ESD)

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Energy Spectral Density (ESD)Energy Spectral Density (ESD)

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See example 3.21 yourself

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Energy of Modulated SignalsEnergy of Modulated Signals

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LTI
H(t); H(w)
g(t)
G(w)
y(t)
Y(w)
Linear Time Invariant System

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Power Spectral densityPower Spectral density

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Signal Power Is Its Mean SquareSignal Power Is Its Mean Square

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Interpretation of PSDInterpretation of PSD

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Home AssignmentsHome Assignments
Solve the following Problems from the exercise:
• 3.1-1, 3.1-2, 3.1-3, 3.1-4, 3.1-5
• 3.2-2, 3.2-3, 3.2-3, 3.2-5,
• 3.3-1, 3.3-2, 3.3-3, 3.3-4, 3.3-5, 3.3-7
• 3.4-1