Apparatus and method for digitally obtaining signals having specified statistical distributions

Claim 2

Apparatus for digitally generating a specified statistical distribution, comprising: means for producing digital bits having properties of randomness; processing means coupled to said producing means and being responsive to a group of said digital bits for generating a signal which approximates the specified statistical distribution; sensing means also coupled to said producing means and being responsive to said group of digital bits for sensing at least one characteristic of said group of bits; and means coupled to said sensing means and said processing means for modifying the signal generated by said processing means whenever said characteristic is sensed by said sensing means, such that the statistical distribution of the generated signal tends to more closely approach the specified statistical distribution.

Claim 3

Apparatus as defined by claim 1 wherein said sensing means is responsive to only a portion of said group of digital bits.

Claim 4

Apparatus as defined by claim 1 wherein said specified statistical distribution is a Gaussian distribution.

Claim 5

Apparatus as defined by claim 2 wherein said specified statistical distribution is a Gaussian distribution.

Claim 6

Apparatus for digitally generating a noise signal having a substantially Gaussian distribution with time, comprising: clock means for generating clock pulses; means responsive to said clock pulses for producing pseudo-random binary bits; means for summing a group of said binary bits to generate a sum signal having an approximately binomial distribution with time; sensing means coupled to said means for producing binary bits and being responsive to at least a portion of the binary bits of said group for detecting at least one preselected combination of the binary bits of said portion of the binary bits; and means coupled to said sensing means and to said summing means for modifying said sum signal when said predetermined combination is detected such that the modified sum signal tends to more closely approach a Gaussian distribution with time.

Claim 7

Apparatus for digitally generating a noise signal having a substantially Gaussian distribution with time, comprising: clock means for generating clock pulses; means responsive to said clock pulses for producing pseudo-random binary bits; means for summing a group of said binary bits to generate a sum signal having an approximately binomial distribution with time; sensing means coupled to said means for producing binary bits and being responsive to at least a portion of the binary bits of said group for detecting at least one preselected combination of the binary bits of said portion of the binary bits; and means coupled to said sensing means and to said summing means for modifying said sum signal when said predetermined combination is detected such that the modified sum signal tends to more closely approach a Gaussian distribution with time.

Claim 8

Apparatus as defined by claim 5 wherein said sensing means is responsive to an all-ones or all-zeros combination in said portion of binary bits.

Claim 9

Apparatus as defined by claim 6 wherein modifying means is operative to add to said sum when said sensing means detects an all-ones condition, and to subtract from said sum when said sensing means detects an all-zeros condition.

Claim 10

Apparatus as defined by claim 5 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.

Claim 11

Apparatus as defined by claim 6 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.

Claim 12

Apparatus as defined by claim 7 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.

Claim 15

The method as defined by claim 11 wherein said sensing is responsive to only a portion of said group of digital bits.

Claim 16

The method as defined by claim 11 wherein said specified statistical distribution is a Gaussian distribution.

Claim 17

The method as defined by claim 12 wherein said specified statistical distribution is a Gaussian distribution.

Claim 20

The method as defined by claim 15 wherein said detection is responsive to an all-ones or all-zeros combination in said portion of binary bits.

Claim 21

The method as defined by claim 16 wherein said modifying step comprises adding to said sum when an all-ones condition is detected, and subtracting from said sum when an all-zeros condition is detected.

Claim 22

The method as defined by claim 15 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.

Claim 23

The method as defined by claim 16 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.

Claim 24

The method as defined by claim 17 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.

Claim 25

In an apparatus for digitally generating a specified statistical distribution, said apparatus including means for producing digital bits having properties of randomness and processing means responsive to a group of said digital bits for generating a signal which approximates the specified statistical distribution; a subsystem for improving the statistical integrity of said signal, comprising: sensing means coupled to said producing means and being responsive to said group of digital bits for sensing at least one characteristic of said group of bits; and means coupled to said sensing means and to said processing means for modifying the signal generated by said processing means whenever said characteristic is sensed by said sensing means, such that the statistical distribution of the generated signal tends to more closely approach the specified statistical distribution.

Claim 26

In an apparatus for digitally generating a specified statistical distribution, said apparatus including means for producing digital bits having properties of randomness and processing means responsive to a group of said digital bits for generating a signal which approximates the specified statistical distribution; a subsystem for improving the statistical integrity of said signal, comprising: sensing means coupled to said producing means and being responsive to said group of digital bits for sensing at least one characteristic of said group of bits; and means coupled to said sensing means and to said processing means for modifying the signal generated by said processing means whenever said characteristic is sensed by said sensing means, such that the statistical distribution of the generated signal tends to more closely approach the specified statistical distribution.

Claim 27

The subsystem as defined by claim 21 wherein said sensing means is responsive to only a portion of said group of digital bits.

Claim 28

The subsystem as defined by claim 21 wherein said specified statistical distribution is a Gaussian distribution.

Claim 29

The subsystem as defined by claim 22 wherein said specified statistical distribution is a Gaussian distribution.

Claim 30

In an apparatus for digitally generating a noise signal having a substantially Gaussian distribution with time, said apparatus including clock means for generating clock pulses, means responsive to said clock pulses for producing pseudo-random binary bits, and means for summing a group of said binary bits to generate a sum signal having an approximately binomial distribution with time; a subsystem for improving the statistical integrity of said sum signal, comprising: sensing means coupled to said means for producing binary bits and being responsive to at least a portion of the binary bits of said group for detecting at least one preselected combination of the binary bits of said portion of the binary bits; and means coupled to said sensing means and to said summing means for modifying said sum signal when said predetermined combination is detected such that the modified sum signal tends to more closely approach a Gaussian distribution with time.

Claim 31

In an apparatus for digitally generating a noise signal having a substantially Gaussian distribution with time, said apparatus including clock means for generating clock pulses, means responsive to said clock pulses for producing pseudo-random binary bits, and means for summing a group of said binary bits to generate a sum signal having an approximately binomial distribution with time; a subsystem for improving the statistical integrity of said sum signal, comprising: sensing means coupled to said means for producing binary bits and being responsive to at least a portion of the binary bits of said group for detecting at least one preselected combination of the binary bits of said portion of the binary bits; and means coupled to said sensing means and to said summing means for modifying said sum signal when said predetermined combination is detected such that the modified sum signal tends to more closely approach a Gaussian distribution with time.

Claim 32

The subsystem as defined by claim 25 wherein said sensing means is responsive to an all-ones or all-zeros combination in said portion of binary bits.

Claim 33

The subsystem as defined by claim 26 wherein modifying means is operative to add to said sum when said sensing means detects an all-ones condition, and to subtract from said sum when said sensing means detects an all-zeros condition.

Claim 34

The subsystem as defined by claim 25 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.

Claim 35

The subsystem as defined by claim 26 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.

Claim 36

The subsystem as defined by claim 27 wherein said group of binary bits is a group of N bits and said portion of bits is a subset of R bits, where R is in the range of about N/4.