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  2. Downsampling (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Downsampling_(signal...

    Step 2 alone creates undesirable aliasing (i.e. high-frequency signal components will copy into the lower frequency band and be mistaken for lower frequencies). Step 1, when necessary, suppresses aliasing to an acceptable level. In this application, the filter is called an anti-aliasing filter, and its design is

  3. Aliasing - Wikipedia

    en.wikipedia.org/wiki/Aliasing

    That paper includes an example of frequency aliasing dating back to 1922. The first published use of the term "aliasing" in this context is due to Blackman and Tukey in 1958. [5] In their preface to the Dover reprint [6] of this paper, they point out that the idea of aliasing had been illustrated graphically by Stumpf [7] ten years prior.

  4. Frequency ambiguity resolution - Wikipedia

    en.wikipedia.org/wiki/Frequency_ambiguity_resolution

    The Nyquist frequency will also change when the PRF is changed. This is explained best using an example with 2 different PRF, although real systems use a different method. In the example, PRF A can detect true speed up to 600MPH and PRF B can detect true speed up to 500MPH.

  5. Nyquist–Shannon sampling theorem - Wikipedia

    en.wikipedia.org/wiki/Nyquist–Shannon_sampling...

    The highest frequency in the spectrum is half the width of the entire spectrum. The width of the steadily-increasing pink shading is equal to the sample-rate. When it encompasses the entire frequency spectrum it is twice as large as the highest frequency, and that is when the reconstructed waveform matches the sampled one.

  6. Ambiguity resolution - Wikipedia

    en.wikipedia.org/wiki/Ambiguity_resolution

    Some types of measurements introduce an unavoidable modulo operation in the measurement process. This happens with all radar systems. [1]Radar aliasing happens when: . Pulse repetition frequency (PRF) is too low to sample Doppler frequency directly

  7. Range ambiguity resolution - Wikipedia

    en.wikipedia.org/wiki/Range_ambiguity_resolution

    Range aliasing occurs when reflections arrive from distances that exceed the distance between transmit pulses at a specific pulse repetition frequency (PRF). Range ambiguity resolution is required to obtain the true range when the measurements are made using a system where the following inequality is true.

  8. Discrete-time Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Discrete-time_Fourier...

    This Fourier series (in frequency) is a continuous periodic function, whose periodicity is the sampling frequency /. The subscript 1 / T {\displaystyle 1/T} distinguishes it from the continuous Fourier transform S ( f ) {\displaystyle S(f)} , and from the angular frequency form of the DTFT.

  9. Spectral leakage - Wikipedia

    en.wikipedia.org/wiki/Spectral_leakage

    The frequency axis has units of FFT "bins" when the window of length N is applied to data and a transform of length N is computed. For instance, the value at frequency ⁠ 1 / 2 ⁠ "bin" is the response that would be measured in bins k and k + 1 to a sinusoidal signal at frequency k + ⁠ 1 / 2 ⁠. It is relative to the maximum possible ...