Convergence of a summations, Table?

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SUMMARY

This discussion centers on the convergence of common summations, particularly in the context of convolving discrete time signals. Users recommend consulting "Gradsteyn & Rytzik" for a comprehensive collection of sums and products. Additionally, leveraging the latest versions of computational tools like Maple and Mathematica is suggested for calculating finite values of these summations effectively.

PREREQUISITES

  • Understanding of discrete time signals
  • Familiarity with summation convergence concepts
  • Knowledge of "Gradsteyn & Rytzik" as a mathematical reference
  • Experience with Maple or Mathematica software

NEXT STEPS

  • Explore the convergence properties of specific summations in "Gradsteyn & Rytzik"
  • Learn how to perform convolution of discrete time signals
  • Investigate the latest features of Maple for summation calculations
  • Study Mathematica's capabilities for evaluating infinite series

USEFUL FOR

Mathematicians, signal processing engineers, and students studying discrete time systems will benefit from this discussion, particularly those interested in summation convergence and computational tools.

perryben
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Are there any good tables showing the convergence of common summations? I am convolving some discrete time signals and they can get very tricky. Thanks all
 
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Try Gradsteyn & Rytzik which has plenty of sums and products in the first part.

Or simply use the latest version of Maple or Mathematica to see whether they can be calculated to a finite value.

Daniel.
 

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