摘要
提出了直接利用连续时间非周期信号频谱计算相应周期序列频谱的方法。利用函数逼近冲激函数时,其曲线下的面积保持不变的特性,证明了周期冲激信号的频谱具有离散性、谐波性和均匀性。以此为基础,首先导出了连续时间非周期信号频域分解的表达式及其频谱计算公式,然后导出了非周期序列的频域分解表达式及其频谱计算公式,周期序列的频域分解表达式及其频谱的计算公式,最后给出了利用连续时间非周期信号的频谱来计算相应周期序列的频谱的方法。
A method for calculating frequency spectrum of corresponding periodic sequence by directly utilizing frequency spectrum of continuous time aperiodic signal is presented.When the function approximates the impulse function,it is proved that the frequency spectrum of the periodic impulse signal has discreteness,harmonicity and uniformity based on the constant characteristics of the area under the function curve.Based on the conclusions drawn before,firstly,the expression of frequency domain decomposition and the formula of frequency spectrum calculation for continuous-time aperiodic signal are derived.Then,the expression of frequency domain decomposition and the formula of frequency spectrum calculation for aperiodic sequence and periodic sequence are derived.Finally,a method of calculating the frequency spectrum of the corresponding periodic sequence by using the frequency spectrum of the continuous time aperiodic signal is given.
作者
陈绍荣
陈柏良
何健
薛在阳
CHEN Shao-rong;CHEN Bai-liang;HE Jian;XUE Zai-yang(PLA Army Engineering University Communication Sergeants College,Chongqing 400035,China;Shenzhen Weixin Technology Co.,Ltd,Shenzhen Guangzhou 518000,China;Military Commission Equipment Development Department Military Representative Office of the Military Representative Bureau in Chengdu,Chengdu Sichuan 610041,China;AT&S Technology(Chongqing)Co.,Ltd,Chongqing 401133,China)
出处
《通信技术》
2020年第1期40-45,共6页
Communications Technology
基金
重庆高校创新团队建设计划资助（No.KJTD201343）~~
关键词
连续时间非周期信号
非周期序列
周期序列
频谱
continuous time aperiodic signal
aperiodic sequence
periodic sequence
frequency spectrum
