DocumentCode :
804879
Title :
Integrated square error for linear interpolation of band-limited signals
Author :
Chieh, H.
Author_Institution :
Howard University, Washington, DC, USA
Volume :
15
Issue :
6
fYear :
1970
fDate :
12/1/1970 12:00:00 AM
Firstpage :
675
Lastpage :
676
Abstract :
The integrated square error is calculated between a band-limited signal 
and a linearly interpolated signal 
obtained from the sampled data of . Band-limited signals, nonperiodic or periodic, are considered. It is shown that the integrated square error together with the energy of is found from a closed-form evaluation using the power spectrum of the original band-limited signal. Two examples are included to illustrate the ease of application. The integrated-square-error criterion has been used extensively in the design of filters and control systems. Minimization and calculation of the integrated square error can be found in [1]-[6], etc.
and a linearly interpolated signal obtained from the sampled data of . Band-limited signals, nonperiodic or periodic, are considered. It is shown that the integrated square error together with the energy of is found from a closed-form evaluation using the power spectrum of the original band-limited signal. Two examples are included to illustrate the ease of application. The integrated-square-error criterion has been used extensively in the design of filters and control systems. Minimization and calculation of the integrated square error can be found in [1]-[6], etc.Keywords :
Band-limited signals; Automatic control; Bandwidth; Control systems; Error correction; Fourier series; Fourier transforms; Interpolation; Resistors; Sampling methods;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1970.1099607
Filename :
1099607
Link To Document :
