Band-pass and equivalent low-pass signal modeling

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Contents• Background, motivation and goals• Complex baseband representation of signals• Complex representation of noise• Channel models• Examples of modulated signals• Signal-to-noise considerationsIf timeallows© NOKIA FILENAME.PPT / 13.12.1997 / NN page: 2
Page 4 and 5: Background, motivation and goals(co
Page 6 and 7: Useful complex relationships• Def
Page 8 and 9: Complex representation of bandpasss
Page 10 and 11: Spectral considerations• If v(t)
Page 12 and 13: Spectrum of the complex low-passsig
Page 14 and 15: Recovery of quadrature component yF
Page 16 and 17: Derivation of X(f) from BP spectrum
Page 18 and 19: (cont’d)and hence the complex env
Page 20 and 21: Bandpass random signals and noise (
Page 22 and 23: Bandpass random signals and noise (
Page 24 and 25: Spectra and cross-spectra of low-pa
Page 26 and 27: Symmetric spectraS (f)n-f cNo/20 f
Page 28 and 29: Remarks• Power of each component
Page 30 and 31: Complex white Gaussian process (2)a
Page 32 and 33: N-dimensional complex Gaussian dens
Page 34 and 35: Sampled channel~h 01/W 1/W 1/W 1/W~
Page 36 and 37: Mobile radio channel• normally a
Page 38 and 39: Signal-to-noise ratioLet us conside
Page 40 and 41: Probality of symbol error (appr) is
Page 42: References1. Benedetto, Biglieri, C

Band-pass and equivalent low-pass signal modeling

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