The relationship between risetime, settling time, bandwidth and Q in certain distributed microwave networks
✍ Scribed by Gerald F. Ross
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 924 KB
- Volume
- 291
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
Relationships between risetime, settling time, baJ~dwidth and Q are presented for the class of TEM-mode delay line filters whose impulsive response is a train of uniformly spaced, but unequally weighted impulses. Conventional measures of bandwidth for these systems are undefined because the energy spectrum is a periodic function of frequency. It is shown, however, that with careful interpretatio~t one may derive a useful inverse relationship between bandwidth and risetime via a suitably modified autoeorrelation function.; the relationship is a risetime-bandwidth product equaling a constant derived by an equivalent area measure. It is also shown that a useful estimate of the settling time of a system can be obtaitted in terms of the moments of the impulse response which weight heavily the contributions of the remote time domain residues. Examples are presented to demonstrate the application, of the theory.