Notation

This appendix summarizes the notation used in this book.

Frequency and Time

• 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