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 is read as ``corresponds to''. The notation or denotes the vector containing , . This is denoted by `X .* Y' in Matlab, where X and Y are either column or row vectors.
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Selected Continuous Fourier Theorems
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Summary and Conclusions