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Continuous-time filters described by differential equations

Continuous-time filters described by differential equations. Recall in Ch. 2. +. Two different ways:. LTI system response properties, Ch. 2. Continuous time Fourier transform. +. Frequency domain. Time domain. +. Valid for any k. A simpler way. Time domain. Frequency domain.

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Continuous-time filters described by differential equations

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

  2. + Frequency domain Time domain

  3. +

  4. Valid for any k

  5. A simpler way Time domain Frequency domain

  6. A simpler way Low-pass

  7. A simple RC low pass filter R C + -

  8. A simple RC low pass filter R C + -

  9. R C + - 

  10. A simple RC high pass filter C R + -

  11. C R + - Time domain Frequency domain 

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

  13. + delay Frequency domain Time domain

  14. Frequency domain Time domain

  15. Nonrecursive discrete-time filter FIR filter Finite Impulse Response filter Example Moving average filter

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