有限带宽信号 meaning in English
band-limited signal
Examples
- Band - limited signal
有限带宽信号 - The signal we named it fundamental wave ; according to the fundamental wave , coefficients of the fundamental wave can be lined in a sequence . when the unique of the dissolve of the fundamental wave can be confirmed , the sequence of the coefficients can be regarded as one of representation forms of the signal itself ; theory of dissolvable signal shows that when order of the matrix of fundamental wave sampling equals to number of fundamental waves , the sequence of the sampling values from sampling points must be matched one by one with the sequence of the coefficients of fundamental waves . the sampling composed by sequences of the sampling values must be full sampling ; the relevant deductions of the theory of dissolvable signal shows that when sampling the signal , sampling frequency must be lager than the ratio of the number of fundamental waves to the occupation time of the fundamental waves ; to band - limited signals , when the fundamental wave is a sine signal , the results from the relevant deductions of theory of dissolvable signal is coherent to the classic sampling theory
本文通过分析认为，当信号集中的任一信号可表示为一系列已知信号的线性代数和时，信号集便构成可分解信号集，已知信号称为基波信号；对可分解信号而言，基波系数构成一序列，当对指定的基波信号集分解唯一确定时，系数序列本身便是信号的一个表示；可分解信号采样定理指出当基波样值矩阵的秩等于基波数时，则由采样点处的采样样构成的样值序列必与基波系数序列一一对应，从而由该样值序列构成的采样必为完全采样；可分解信号采样定理中的推论指出，对信号集进行采样，采样频率必须大于其信号分解的基波数与其对应时长之比；对有限带宽信号，若基波信号为正弦信号时，由可分解信号采样定理推论给出的结论与经典采样定理一致。