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Notation Conventions

Module by: Ricardo Vargas. E-mail the author

Following is a list of the notation conventions used in this work. This convention is the result of a compromise between notation styles from the theoretical and applied mathematics and electrical engineering communities in order to keep consistency across the document.

Table 1
a , A a , A Scalars
H , C H , C Matrices
h , x h , x Vectors
H , X H , X Vectors (typically the frequency domain representation of another vector)
h n , h ( n ) h n , h ( n ) nn-th element of vector hh (a scalar)
h k h k Solution for hh after kk iterations on any given optimization algorithm (a vector)
h ⋆ h ⋆ Optimal solution vector for a given problem
a i a i Solution for aa at ii-th iteration
a k a k kk-th entry of vector aa
ω ω Radial frequency (with period 2π2π for discrete signals)
f f Linear frequency (related to ωω via ω=2πfω=2πf)
F ( · ) F ( · ) Fourier Transform operator
D ( · ) D ( · ) Discrete-time Fourier Transform operator
Z ( · ) Z ( · ) Z-Transform operator
* * Convolution operator
R R Field of real numbers
C C Field of complex numbers

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