玉溪师范学院学报
玉溪師範學院學報
옥계사범학원학보
JOURNAL OF YUXI TEACHERS COLLEGE
2011年
8期
55-58
,共4页
傅里叶级数%周期离散信号%时域%频域
傅裏葉級數%週期離散信號%時域%頻域
부리협급수%주기리산신호%시역%빈역
Fourier serious%cycle discrete signal%time domain%frequency domain
分析周期连续信号的傅里叶级数,经过推理论证,得到周期离散信号傅里叶级数系数的表达式,通过例题分析引出这一表达式的扩展公式.从此扩展公式得出结论:对于周期离散信号,只需要截取其中任意一个完整周期里的信号时域或频域的信息,其他信息段的时域和频域的信息都可以通过分析获取.
分析週期連續信號的傅裏葉級數,經過推理論證,得到週期離散信號傅裏葉級數繫數的錶達式,通過例題分析引齣這一錶達式的擴展公式.從此擴展公式得齣結論:對于週期離散信號,隻需要截取其中任意一箇完整週期裏的信號時域或頻域的信息,其他信息段的時域和頻域的信息都可以通過分析穫取.
분석주기련속신호적부리협급수,경과추이론증,득도주기리산신호부리협급수계수적표체식,통과례제분석인출저일표체식적확전공식.종차확전공식득출결론:대우주기리산신호,지수요절취기중임의일개완정주기리적신호시역혹빈역적신식,기타신식단적시역화빈역적신식도가이통과분석획취.
An expansion of the expression of Fourier serious coefficient of the cycle discrete signal was obtained through analyzing that of the cycle continuous signal and reasoning.It is concluded from the expansion that: for cycle discrete signals,the information about the time and frequency domains of any information band can be acquired through analyzing the information about the time and frequency domains of signals obtained within a complete cycle.