Multiple Access Techniques Using Superframes

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Multiple Access Techniques Using Superframes

• Radu Balan
• Siemens Corporate Research
• Princeton , NJ 08540
• rvbalan_at_scr.siemens.com
• SPIE Conference, San Diego
• August 2000

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Overview

• Superframe what is it?
• Multiplexing of Signals using Superframes
• Intermezzo Band Limited Signals
• TDMA, FDMA within this framework
• FHMA as an extension on FDMA

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1. Superframes - Introduction
Let H be a Hilbert space (e.g. , the space
of -band limited signals) embedded in K
(e.g. with ). Let I be a
countable index set.
A subset of K is a frame
for H with bounds A,Bgt0 if
Property. There is a dual frame
such that
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Single Access Encoding Decoding Scheme
Channel
Encoder
Decoder
Formal Embedding in the Coefficients Space
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The signals can be reconstructed from
provided
Or, equivalently
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Definition. A collection of indexed sets of
vectors is called a
superframe if the direct sum set is a frame for

• Properties.
• Geometric Picture Equivalent conditions in term
  of component
• sets (frames and transversal intersection of
  coeffs ranges)
• 2. Duality The existence of dual superframe
  -gt Reconstruction
• formula

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2. Multiplexing with Superframes
Channel
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3. Intermezzo Band Limited Signals
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4. The TDMA and FDMA Superframes
Note the following
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This suggests the use of the following frames
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In the Frequency-Division Multiple Access (FDMA)
case, the encoding scheme has the following
structure
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5. FHMA as an Extension of FDMA
The Frequency-Hoping Multiple Access is a
variation of FDMA. The Encoding scheme uses the
following relation
and the associated frames are
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