信号与系统4-5 Chapter 4 Continuous time Fourier transform.ppt

Examples for inverse transform Chapter 4 Continuous time Fourier transform (CTFT) 4.6 signal and system in frequency domain Signal and system in frequency domain System output and convolution Given Convolution System output and convolution Example: 4.19 Signal analysis Given Example : problem 4.19 Signal analysis System design Given System output and convolution Example : problem 4.36 Example : problem 4.36 System design Given system equation: Example: 4.25 System design Example: 4.25 System design System designed by differential equation System designed by differential equation System frequency response Let Then System function Standard form system function If , then is a zero point ; If , then is a pole point . Use poles, system function can be written as Example: If the function is not proper, it can be written as When MN, the function is strictly proper; Example: The method of partial-fraction expansion For proper function and first order poles : The method of partial-fraction expansion For proper function and m-th order poles : The method of partial-fraction expansion Example for 2rd order poles : The method of partial-fraction expansion Examples The method of partial-fraction expansion Examples Basic transform pairs for inverse transform Examples for inverse transform Examples for inverse transform