Representation of ct signals Approximate any input x(t) as a sum of shifted, scaled

Another(important! ) example: Periodic Impulse train n(t)=∑(t Sampling function important for sampling .2T

Convolution Property 0(t)=h(t)*(t)←→Y(j)=H(ju)X( where h(t)←→H(ju) A consequence of the eigenfunction property

1. DTFT Properties and Examples 2. Duality in fs& ft 3. Magnitude/Phase of Transforms and Frequency Responses

Convergence Issues Synthesis equation: None. since integrating over a finite interval Analysis Equation: Need conditions analogous to CTFT, e. g

1.题图(a)是理想高通滤波器的幅频特性和相频特性,求此理想高通滤波器的冲激响应

《信号与系统》习题六

Portrait of Jean Baptiste Joseph Fourier Image removed due to copyright considerations Signals& Systems, 2nd ed. Upper Saddle River, N.J. Prentice Hall, 1997, p 179

《信号与系统》习题二

1Some examples of systems 2 System properties and examples CAusality