Part of the Signal Processing and Digital Filtering book series (SIGNAL PROCESS)
Review of Applied Algebra
In this chapter we will give a brief account of several important results from applied algebra necessary to develop the algorithms in this text. In particular, we will describe the main properties of the following rings:
• Ring of integers Z.
• Quotient ring Z/N of integers modulo N.
• Ring of polynomials F[x] over the field F.
• Quotient ring F[x]/f(x) of polynomials.
KeywordsFinite Field Unit Group Polynomial Ring Great Common Divisor Quotient Ring
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 1997