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E7F09

PRACTICAL CIRCUITS · Software defined radio fundamentals: digital signal processing (DSP) filtering, modulation, and demodulation; analog-digital conversion; digital filters

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Why is an anti-aliasing filter required in a decimator?

  1. AIt removes high-frequency signal components that would otherwise be reproduced as lower frequency components
  2. BIt peaks the response of the decimator, improving bandwidth
  3. CIt removes low-frequency signal components to eliminate the need for DC restoration
  4. DIt notches out the sampling frequency to avoid sampling errors
Why Decimation throws away samples to lower the sample rate, which lowers the Nyquist limit to half the new rate. Any signal content above that new limit folds back down into the passband as false lower-frequency signals (aliases), and once folded it cannot be separated from real signals. So a low-pass (anti-aliasing) filter must run before the samples are discarded, removing everything above half the new sample rate.
Watch out The idea of notching out the sampling frequency misses the point: aliasing comes from content above half the sample rate folding down, not from the sampling clock itself appearing in the data, and a single notch would not stop it.
Decimate = lower Nyquist. Filter first, then throw samples away, or highs fold down as fakes.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of E7F

  1. E7F01 What is meant by "direct sampling" in software defined radios?
  2. E7F02 What kind of digital signal processing audio filter is used to remove unwanted noise from a received SSB sign…
  3. E7F03 What type of digital signal processing filter is used to generate an SSB signal?
  4. E7F04 Which method generates an SSB signal using digital signal processing?
  5. E7F05 How frequently must an analog signal be sampled to be accurately reproduced?
  6. E7F06 What is the minimum number of bits required to sample a signal with a range of 1 volt at a resolution of 1 mi…
  7. E7F07 What function is performed by a Fast Fourier Transform?
  8. E7F08 What is the function of decimation?
  9. E7F09 Why is an anti-aliasing filter required in a decimator?
  10. E7F10 What aspect of receiver analog-to-digital conversion determines the maximum receive bandwidth of a direct-sam…
  11. E7F11 What sets the minimum detectable signal level for a direct-sampling software defined receiver in the absence …
  12. E7F12 Which of the following is generally true of Finite Impulse Response (FIR) filters?
  13. E7F13 What is the function of taps in a digital signal processing filter?
  14. E7F14 Which of the following would allow a digital signal processing filter to create a sharper filter response?
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