February 2017
Intermediate to advanced
290 pages
5h 48m
English
Content preview from Digital Signal Processing (DSP) with Python Programming
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1Useful Maths
1.1. Basic concepts on probability
Without describing in detail the formalism of the probability theory, we simply remind the reader of useful concepts. However, we advise the reader to consult some of the many books with authority on the subject [BIL 12].
In probability theory, we consider a sample space Ω, which is the set of all possible outcomes ω, and a collection 
of its subsets with a structure of σ-algebra, the elements of which are called the events.
DEFINITION 1.1 (Random variable).– A real random variable X is a (measurable) application from the Ω to 
:
[1.1]
DEFINITION 1.2 (Discrete random variable).– A random variable X is said to be discrete if it takes its values in a subset of , at the most countable. If {a0, …, an, …}, where n ∈ 
, denotes this set of values, the probability distribution of X is characterized by the sequence:
[1.2]
representing the probability ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.