Abstract

Algorithms for digitally processing sampled spatiotemporal signals typically ignore the fact that those samples were obtained time-sequentially, rather than instantaneously, at the beginning of each frame period The effect of displacing time-sequentially obtained samples to a non-time-sequential lattice is analyzed for both deterministic and nondeterministic signals Sample displacement is shown to cause unavoidable frequency-domain aliasing The resulting artifacts are compared in test signals that have been sampled with a lexicographic and bit-reversed ordering of the sample points

© 1983 Optical Society of America

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  1. 1 S Deutsch, "Pseudo-random dot scan television systems," IEEE Trans Broadcast BC-II, 11–21 (1965)
  2. 2 S Deutsch, "Visual displays using pseudo-random dot scan," IEEE Trans Commun Technol COM-21, 65–76 (1973)
  3. 3 J P Allebach, "Analysis of sampling-pattern dependence in time-sequential sampling of spatiotemporal signals," J Opt Soc Am 71, 99–105 (1981)
  4. 4 D E Pearson, Transmission and Display of Pictorial Information (Wiley, New York, 1975), pp 1–30
  5. 5 J W Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp 4–25
  6. 6 A Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1965), pp 336–384
  7. 7 A J Jerri, "The Shannon sampling theorem—its various extensions and applications a tutorial review," Proc IEEE 65, 1565–1596 (1977)
  8. 8 T Thong, Digital Image Processing Test Patterns (ARG Tech Rep FP014 (Tektronix Laboratories, Beaverton, Ore, 1982)

1981 (1)

3 J P Allebach, "Analysis of sampling-pattern dependence in time-sequential sampling of spatiotemporal signals," J Opt Soc Am 71, 99–105 (1981)

1973 (1)

2 S Deutsch, "Visual displays using pseudo-random dot scan," IEEE Trans Commun Technol COM-21, 65–76 (1973)

1965 (1)

1 S Deutsch, "Pseudo-random dot scan television systems," IEEE Trans Broadcast BC-II, 11–21 (1965)

Allebach, J P

3 J P Allebach, "Analysis of sampling-pattern dependence in time-sequential sampling of spatiotemporal signals," J Opt Soc Am 71, 99–105 (1981)

Deutsch, S

2 S Deutsch, "Visual displays using pseudo-random dot scan," IEEE Trans Commun Technol COM-21, 65–76 (1973)

1 S Deutsch, "Pseudo-random dot scan television systems," IEEE Trans Broadcast BC-II, 11–21 (1965)

Goodman, J W

5 J W Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp 4–25

Jerri, A J

7 A J Jerri, "The Shannon sampling theorem—its various extensions and applications a tutorial review," Proc IEEE 65, 1565–1596 (1977)

Papoulis, A

6 A Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1965), pp 336–384

Pearson, D E

4 D E Pearson, Transmission and Display of Pictorial Information (Wiley, New York, 1975), pp 1–30

Thong, T

8 T Thong, Digital Image Processing Test Patterns (ARG Tech Rep FP014 (Tektronix Laboratories, Beaverton, Ore, 1982)

IEEE Trans Broadcast (1)

1 S Deutsch, "Pseudo-random dot scan television systems," IEEE Trans Broadcast BC-II, 11–21 (1965)

IEEE Trans Commun Technol (1)

2 S Deutsch, "Visual displays using pseudo-random dot scan," IEEE Trans Commun Technol COM-21, 65–76 (1973)

J Opt Soc Am (1)

3 J P Allebach, "Analysis of sampling-pattern dependence in time-sequential sampling of spatiotemporal signals," J Opt Soc Am 71, 99–105 (1981)

Other (5)

4 D E Pearson, Transmission and Display of Pictorial Information (Wiley, New York, 1975), pp 1–30

5 J W Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp 4–25

6 A Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1965), pp 336–384

7 A J Jerri, "The Shannon sampling theorem—its various extensions and applications a tutorial review," Proc IEEE 65, 1565–1596 (1977)

8 T Thong, Digital Image Processing Test Patterns (ARG Tech Rep FP014 (Tektronix Laboratories, Beaverton, Ore, 1982)

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