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Irreducible components of canonical diagrams for spectral nulls

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1 Author(s)
Kamabe, H. ; Dept. of Electr. & Electron. Eng., Mie Univ., Tsu, Japan

Irreducible components of canonical diagrams for spectral null constraints at f=fsk/n are studied, where k and n are integers and fs is the symbol frequency. To identify systematically all irreducible components of the canonical diagrams for first-order spectral nulls at f, we give a set of channel symbol sequences specifying all of them. If n is a prime number, then each sequence in the set corresponds to exactly one label-preserving graph isomorphism class of irreducible components. We also give a set of channel symbol sequences specifying all irreducible components of canonical diagrams for second-order spectral nulls at DC (i.e., f=0)

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Information Theory, IEEE Transactions on  (Volume:40 ,  Issue: 5 )