Signal and System I Continuous-time filters described by differential equations + Recall in Ch. 2 Continuous time Fourier transform. LTI system response properties, Ch. 2 Two different ways:

Signal and System I + Time domain Frequency domain

Signal and System I +

Valid for any k

Signal and System I

A simpler way Time domainFrequency domain

Signal and System I A simpler way Low-pass

Signal and System I A simple RC low pass filter + - R C

Signal and System I A simple RC low pass filter + - R C

Signal and System I + - R C 

A simple RC high pass filter + - R C

Signal and System I + - R C Time domain Frequency domain 

Signal and System I discrete-time filters described by difference equations Recall in Ch. 2 discrete-time Fourier transform. LTI system response properties, Ch. 2 Two different ways: + delay

Signal and System I + delay Time domain Frequency domain

Signal and System I Time domain Frequency domain

Signal and System I

Nonrecursive discrete-time filter FIR filterFinite Impulse Response filter Example Moving average filter