Mathematical Representation of Noise
1 Department of ECE Raghu Institute of Technology Course : Digital Communications Topic : Mathematical Representation
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Department of ECE Raghu Institute of Technology
Course : Digital Communications
Topic : Mathematical Representation of Noise Principles of Communication Systems, Third Edition Herbert Taub, Donald L Schilling, Goutam Saha
Sources of Noise • Thermal Noise • Shot Noise • Additive Noise • Multiplicative Noise (fading) • Gaussian Noise
Noise: Frequency Domain Representation
Noise : Power Spectrum
Noise Represetation
Filtering Gaussian Noise
Noise : Spectral Component
Noise : Narrowband Filter Response
Noise PSD : Effect of Filter
Mixing Noise with Sinusoid
Mixing Noise with Noise
Linear Filtering of Noise
Noise and Low Pass Filter RC Low Pass Filter:
Ideal Low Pass Filter:
Noise and Band Pass Filter
Noise and Differentiator A differentiator follows
Noise and Integrator-1 An integrator follows
Noise and Integrator-2
Quadrature Components of Noise It is sometimes more advantageous to represent Narrowband noise centred around f0 as
Now,
PSD of Quadrature Components
Probability Density of Quadrature Components and Time Derivatives
Noise : Orthonormal Coordinates
Irrelevant Noise Components and Optimum Receiver
End of Chapter 7