A function modulation method for digital communications

Das, Subhendu; Singh, Amoldeep; Mohanty, N.

doi:10.1109/wts.2007.4563308

Cited by 1 publication

(4 citation statements)

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“…These Slepian functions can be used in the fm method of Fig 1 to transmit theoretically infinite number of bits. We have shown [3][4] that it is not necessary to use orthonormal functions to get the same results. The series (2) can be valid for independent functions also.…”

Section: Higher Sample Ratementioning

confidence: 85%

“…In (4) ) i t ( f carry the information for the function f(t). Thus a function can be described precisely only by infinite amount of information or in other words a function can carry infinite amount of information even over finite time interval.…”

Section: Infinite Dimensionalitymentioning

confidence: 99%

“…The series (2) can be valid even if we use independent functions, 0-1 coefficients, and finite number of terms. We will still be able to extract the bits [3][4]. Figure 2 shows the kind of general functions that has been used for real life and real time …”

Section: Function Modulationmentioning

confidence: 99%

“…Next we describe the function modulation technology very briefly [2][3][4]. This technology has been experimentally demonstrated in real life, on real time, using off-the-shelf hardware components.…”

Section: Introductionmentioning

confidence: 99%

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Capacity Theorem for Finite Duration Symbols

Das

Mohanty

Singh

2009

2009 Eighth International Conference on Networks

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The proof of capacity theorem assumed that the symbols are of infinite time duration. Since the infinite time symbols are not meaningful and is not used in the existing technology, in this paper we decided to prove it over finite time interval. The result shows that the new capacity of a band limited channel explicitly depends on the sample rate. This new approach helps us to show that all shift keying methods do not meet the Shannon's model and therefore cannot achieve the basic capacity limits. We also show that the function modulation method can be engineered to achieve the new extended limits. To establish our theory we use the well known mathematical concept of infinite dimensionality of function space. The new capacity result is stated in a theorem.

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Section: Higher Sample Ratementioning

confidence: 85%

Section: Infinite Dimensionalitymentioning

confidence: 99%

Section: Function Modulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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