Digital Signal Processing

  1. Why DSP?
    • 1.  Flexibility in Reconfiguration  (Software changes rather than hardware changes).
    • 2. Controlof accuracy components
    • 3. More sophisticated algorithims
  2. Quantization can be performed in two ways.  Those ways are?
    • 1.  Rounding   (8.58 --> 9)
    • 2.  Truncation (8.68 -->8)

    *Introduce error at this point*
  3. A deterministic signal is?
    A signal that can be uniquely described by an explict mathmatical expression, a table or data or a well defined rule.
  4. A random signal is?
    A signal that evolves in time in an unpredictable manner.
  5. In discrete time, both omega (w) and frequency (f) have what units?
    radians per sample
  6. A D.T. sinusoid can be periodic only if its frequency f is a ______ .
    Rational number.   --->  f = k/N       (N is the period)
  7. D.T sinusoids whose frequencies are seperated by an interger multiple of _____ are ______.
    Image Upload 1         Identicle
  8. The fundamental range can be expressed as?
    \Image Upload 2        or Image Upload 3
  9. Any 'w' or 'f'' outside the fundamental range is considered what?
    A copy or alias.
  10. What is the purpose of the Fourier Series?
    To take complicated systems, break them down to simpilier, easier to work with signal that can be manipulated mathmatically.
  11. If N = 3 we can choose   {s0[n], s1[n], s2[n] } all of which are unique.   In General we can choose {sk[n]} -->( kth Harmonic of x[n]]} = to Image Upload 4  for k = 0,1,2,....., N-1
    • This is the Fourier Series of periodic DT Sequence. It can be represented as 
    •           N-1
    • x[n] = Image Upload 5CkSk[n]     where Sk[n] = exp(...)
    •            k=0
  12. The first job of an analog-to-digital converter (ADC) is to what?
    • It is to sample the analog signal at discrete time instants.
    • -If the sampling interval is 'T' seconds then samples will be taken every 'nT' seconds.  Where n = 0,1,2,3.....
  13. In general, the first step of the analog to digital converter is to what?
    x[n] = xa[nT];  Image Upload 6
  14. The sampling rate can be rate can be represented in what way?
    • Sampling Rate = (1/sampling interval)     in other words        Fs= 1/T;  where the unit of Fs  is samples/sec.  
    • Sampling rate = sampling frequency.
  15. The frequency variable 'f' of the sampled signal can be referred to as what terms?
    Relative or normalized frequency
  16. Equations to calculate 'f' of sampled signal
    f = F/Fs          or           w = Image Upload 7T   (Image Upload 8 = 2Image Upload 9F)
  17. After the signal is sampled what is the frequency range?
    -Fs/2 Image Upload 10   F   Image Upload 11  Fs/2  
  18. The Folding frequency can be represent as?
  19. The Nyquist rate is what?
    • The no-aliasing condition.  It is the sampling rate that allows for the original analog signal to be reconstructed from the D.T signal.    It is given by
    •                                   FN= 2FMax
Card Set
Digital Signal Processing