DocumentCode :
921422
Title :
Time-sequency-limited signals in finite Walsh transforms (Corresp.)
Author :
Tam, Le Dinh Chon ; Goulet, Roger
Volume :
20
Issue :
2
fYear :
1974
fDate :
3/1/1974 12:00:00 AM
Firstpage :
274
Lastpage :
276
Abstract :
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]](/images/tex/7470.gif)
successive orthogonal block pulses of duration 
. Optimum solutions for bandpass signals are pointed out. Extension to the continuous-time domain is also discussed.
successive orthogonal block pulses of duration . Optimum solutions for bandpass signals are pointed out. Extension to the continuous-time domain is also discussed.Keywords :
Walsh transforms; Automation; Estimation theory; Integral equations; Least squares approximation; Linear systems; Multidimensional systems; Nonlinear filters; Stochastic processes; Time varying systems; Transforms;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1974.1055194
Filename :
1055194
Link To Document :
