Notation
This appendix summarizes the notation used in this book.
Frequency and Time
denotes continuous radian frequency (rad/sec)
denotes continuous frequency in Hertz (Hz)
-
denotes discrete frequency,
-
(frequencies are always real)
sampling interval (sec)
sampling rate,
(discrete time)
-
(integers)
-
(time is always real)
Signal Notation
-
means
is a length
complex sequence
-
-
-
-
denotes the
th bin of a length
DFT
-
-
-
or
-
or
(integers modulo
)
- For
,
-
conjugate of
-
phase of
Fourier Transform Notation
The following notation will be used to state that
is the
Fourier Transform of
![]() |
(A.1) |
where





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Selected Continuous Fourier Theorems
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Summary and Conclusions