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Time-sequency-limited signals in finite Walsh transforms (Corresp.)

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2 Author(s)

The relation between time-limiting and sequency-band-limiting in finite Walsh transforms is considered. It is found that optimum solutions (energy ratio equal to unity) are a nontrivial linear combination of[TM/N]successive orthogonal block pulses of durationR = NM^{-1}. Optimum solutions for bandpass signals are pointed out. Extension to the continuous-time domain is also discussed.

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Information Theory, IEEE Transactions on  (Volume:20 ,  Issue: 2 )