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16.362 Signal and System I Continuous-time filters described by differential equations + Recall in Ch. 2 Continuous time Fourier transform. LTI system.

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Presentation on theme: "16.362 Signal and System I Continuous-time filters described by differential equations + Recall in Ch. 2 Continuous time Fourier transform. LTI system."— Presentation transcript:

1 16.362 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:

2 16.362 Signal and System I + Time domain Frequency domain

3 16.362 Signal and System I +

4 Valid for any k

5 16.362 Signal and System I

6 A simpler way Time domainFrequency domain

7 16.362 Signal and System I A simpler way Low-pass

8 16.362 Signal and System I A simple RC low pass filter + - R C

9 16.362 Signal and System I A simple RC low pass filter + - R C

10 16.362 Signal and System I + - R C 

11 A simple RC high pass filter + - R C

12 16.362 Signal and System I + - R C Time domain Frequency domain 

13 16.362 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

14 16.362 Signal and System I + delay Time domain Frequency domain

15 16.362 Signal and System I Time domain Frequency domain

16 16.362 Signal and System I

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


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