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Fourier Series

Rebecca Perriment 5 questions

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Questions in this quiz (5)

  1. 1Fourier series is an important tool for analysing periodic signals in the [blank_start]frequency[blank_end] [blank_start]domain[blank_end]
    Expresses signals as a sum of [blank_start]sine[blank_end] and [blank_start]cosine[blank_end] functions
    Allows us to observe the frequency spectrum of the signal and see the effect of [blank_start]filtering[blank_end] [blank_start]out[blank_end] certain frequencies
    1. Afrequency
    2. Bdomain
    3. Csine
    4. Dcosine
    5. Efiltering
    6. Fout
  2. 2First harmonic is the [blank_start]fundamental[blank_end] frequency where n = 1 and f = [blank_start]1/T[blank_end]
    For each harmonic the frequency is the harmonic number x f e.g. third harmonic frequency = [blank_start]3/T[blank_end]
    a0 is the [blank_start]dc[blank_end] [blank_start]offset[blank_end] of the periodic signal
    Dirchlet conditions - signal must be [blank_start]single[blank_end] values
    - signal must be [blank_start]piecewise[blank_end] continuous
    - signal and its derivative must be piecewise continuous over the period
    1. Afundamental
    2. B1/T
    3. C3/T
    4. Ddc
    5. Eoffset
    6. Fsingle
    7. Gpiecewise
  3. 3To plot the fourier series as a frequency spectrum, plot [blank_start]sqrt(an^2+bn^2)[blank_end] against [blank_start]frequency[blank_end]
    Gibb's phenomenon; if there are [blank_start]discontinuities[blank_end] over a period, there is an [blank_start]overshoot[blank_end] at the point of discontinuity
    An even function is reflected in the [blank_start]y[blank_end] axis so only need to calculate [blank_start]an[blank_end]
    An odd function is symmetrical about the [blank_start]origin[blank_end] so only need to calculate [blank_start]bn[blank_end]
    Even x even = [blank_start]even[blank_end]
    Even x odd = [blank_start]odd[blank_end]
    Odd x odd = [blank_start]odd[blank_end]
    1. Asqrt(an^2+bn^2)
    2. Bfrequency
    3. Cdiscontinuities
    4. Dovershoot
    5. Ey
    6. Fan
    7. Gbn
    8. Horigin
    9. Ieven
    10. Jodd
    11. Kodd
  4. 4Average power in the nth harmonic Pn = [blank_start]1/2(an^2+bn^2)[blank_end] (1)
    The average power in all harmonics is the total average power in a periodic signal v(t)
    You can plot (1) against frequency to get [blank_start]power[blank_end] [blank_start]density[blank_end] [blank_start]spectrum[blank_end]
    1. A1/2(an^2+bn^2)
    2. Bpower
    3. Cdensity
    4. Dspectrum
  5. 5Complex Fourier Series
    When written as infinite sum of complex exponentials the complex coefficient is [blank_start]cn[blank_end]
    Cn = 1/2([blank_start]an[blank_end]-[blank_start]jbn[blank_end])
    1. Acn
    2. Bjbn
    3. Can

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Description
Signals and Communications 1 (Fourier Series) Quiz on Fourier Series, created by Rebecca Perriment on 21/05/2018.
Language
English
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signals and communications 1fourier series
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