This work considers uncertainty relations on time frequency distributions from a signal processing viewpoint. An uncertainty relation on the marginalizable time frequency distributions is given. A result from quantum mechanics is used on Wigner distributions and marginalizable time frequency distributions to investigate the change in variance of time and frequency variables from a signal processing perspective. Moreover, operations on signals which leave uncertainty relations unchanged are studied.
翻译:这项工作从信号处理角度考虑时间频率分布的不确定性关系。给出了可边际时间频率分布的不确定性关系。量子力学的结果用于威氏分布和可边际时间频率分布,以从信号处理角度调查时间和频率变量的变化。此外,还研究了使不确定性关系保持不变的信号操作。