Claims Analysis
Total Claims: 9
Claim 1
Independent Claim
240 words
A method for transmitting a signal including a digital signal portion, the digital signal portion being robust to multipath degradation and intersymbol interference within a predetermined frequency band, the method comprising: a) providing a basis set of mutually orthogonal, spectrally-shaped sequences of substantially equal length and having predetermined autocorrelation values, the length of the sequences in the basis set representing a baud, the spectral shapes of waveforms corresponding to the sequences in the basis set, the providing the basis set includes i) generating a plurality of random number-based sequences, ii) spectrally shaping selected ones of the generated sequences by convolving each selected sequence with a shaping function so that the resulting spectrally-shaped sequences have predetermined autocorrelation properties, iii) arranging the spectrally-shaped sequences as columns of a matrix, the matrix having a greater number of rows than columns, the number of columns of the matrix substantially representing the number of spectrally-shaped sequences, and the number of rows substantially representing the number of samples in sequence, and iv) decomposing the matrix by singular value decomposition into the product of three other matrices so that a substantial number of the columns of one of the other matrices represents the basis set of spectrally shaped orthogonal sequences; b) data modulating the sequences of the basis set to define digital data in modulated sequences, the modulated sequences substantially maintaining the spectral shapes; and c) transmitting the signal via a medium to at least one receiver.
Claim 2
Independent Claim
240 words
A method for transmitting a signal including a digital signal portion, the digital signal portion being robust to multipath degradation and intersymbol interference within a predetermined frequency band, the method comprising: a) providing a basis set of mutually orthogonal, spectrally-shaped sequences of substantially equal length and having predetermined autocorrelation values, the length of the sequences in the basis set representing a baud, the spectral shapes of waveforms corresponding to the sequences in the basis set, the providing the basis set includes i) generating a plurality of random number-based sequences, ii) spectrally shaping selected ones of the generated sequences by convolving each selected sequence with a shaping function so that the resulting spectrally-shaped sequences have predetermined autocorrelation properties, iii) arranging the spectrally-shaped sequences as columns of a matrix, the matrix having a greater number of rows than columns, the number of columns of the matrix substantially representing the number of spectrally-shaped sequences, and the number of rows substantially representing the number of samples in sequence, and iv) decomposing the matrix by singular value decomposition into the product of three other matrices so that a substantial number of the columns of one of the other matrices represents the basis set of spectrally shaped orthogonal sequences; b) data modulating the sequences of the basis set to define digital data in modulated sequences, the modulated sequences substantially maintaining the spectral shapes; and c) transmitting the signal via a medium to at least one receiver.
Claim 3
Dependent Claim
31 words
The method of claim 1, wherein the providing the basis set further includes determining the maximum length of each sequence by the ratio of the baud interval to the sample interval.
Claim 4
Dependent Claim
237 words
A transmitter for transmitting a signal including a digital signal portion, the digital signal portion being robust to multipath degradation, the transmitter comprising: means for providing a basis set of substantially orthogonal spectrally shaped sequences having predetermined autocorrelation properties, the length of the sequences in the basis set representing a baud, the spectral shapes of waveforms corresponding to the sequences in the basis set; modulation means for digitally modulating the basis set to define digital signals, the modulated waveforms maintaining their spectral shaping through the modulation; and broadcast means for transmitting the modulated signal through a medium to at least one receiver; wherein the basis set of the basis set providing means is obtained by i) generating a plurality of random number-based sequences; ii) spectrally shaping selected ones of the generated sequences by convolving each selected sequence with a shaping function so that the resulting spectrally-shaped sequences have predetermined autocorrelation properties; iii) arranging the spectrally-shaped sequences as columns of a matrix, the matrix having a greater number of rows than columns, the number of columns of the matrix substantially representing the number of spectrally-shaped sequences, and the number of rows substantially representing the number of samples in sequence; and iv) decomposing the matrix by singular value decomposition into the product of three other matrices so that a substantial number of the columns of one of the other matrices represents the basis set of spectrally shaped orthogonal sequences.
Claim 5
Dependent Claim
237 words
A transmitter for transmitting a signal including a digital signal portion, the digital signal portion being robust to multipath degradation, the transmitter comprising: means for providing a basis set of substantially orthogonal spectrally shaped sequences having predetermined autocorrelation properties, the length of the sequences in the basis set representing a baud, the spectral shapes of waveforms corresponding to the sequences in the basis set; modulation means for digitally modulating the basis set to define digital signals, the modulated waveforms maintaining their spectral shaping through the modulation; and broadcast means for transmitting the modulated signal through a medium to at least one receiver; wherein the basis set of the basis set providing means is obtained by i) generating a plurality of random number-based sequences; ii) spectrally shaping selected ones of the generated sequences by convolving each selected sequence with a shaping function so that the resulting spectrally-shaped sequences have predetermined autocorrelation properties; iii) arranging the spectrally-shaped sequences as columns of a matrix, the matrix having a greater number of rows than columns, the number of columns of the matrix substantially representing the number of spectrally-shaped sequences, and the number of rows substantially representing the number of samples in sequence; and iv) decomposing the matrix by singular value decomposition into the product of three other matrices so that a substantial number of the columns of one of the other matrices represents the basis set of spectrally shaped orthogonal sequences.
Claim 6
Independent Claim
100 words
A method for determining a basis set of spectrally-shaped, substantially orthogonal waveforms suitable for: a) generating a plurality of random number sequences via a plurality of samples; b) spectrally shaping each of said sequences to define shaped sequences corresponding to shaped wideband waveforms; c) arranging the shaped sequences as columns of a matrix having a greater number of rows than columns; and d) decomposing the matrix by singular value decomposition into the product of three other matrices wherein a substantial number of the columns of one of the other matrices represents the basis set of spectrally shaped substantially orthogonal waveforms.
Claim 7
Independent Claim
100 words
A method for determining a basis set of spectrally-shaped, substantially orthogonal waveforms suitable for: a) generating a plurality of random number sequences via a plurality of samples; b) spectrally shaping each of said sequences to define shaped sequences corresponding to shaped wideband waveforms; c) arranging the shaped sequences as columns of a matrix having a greater number of rows than columns; and d) decomposing the matrix by singular value decomposition into the product of three other matrices wherein a substantial number of the columns of one of the other matrices represents the basis set of spectrally shaped substantially orthogonal waveforms.
Claim 8
Independent Claim
103 words
A method for generating a basis set of sequences representative of spectrally shaped substantially orthogonal waveforms comprising the steps of: a) generating a plurality of random number sequences; b) spectrally shaping each of said sequences to define sequences representing shaped waveforms; c) arranging the shaped sequences as columns of a matrix having a greater number of rows than columns; and d) decomposing the matrix by singular value decomposition into the product of three other matrices wherein a substantial number of the columns of one of the other matrices represents said basis set, said basis set having a minimal crosscorrelation and a high autocorrelation.
Claim 9
Independent Claim
103 words
A method for generating a basis set of sequences representative of spectrally shaped substantially orthogonal waveforms comprising the steps of: a) generating a plurality of random number sequences; b) spectrally shaping each of said sequences to define sequences representing shaped waveforms; c) arranging the shaped sequences as columns of a matrix having a greater number of rows than columns; and d) decomposing the matrix by singular value decomposition into the product of three other matrices wherein a substantial number of the columns of one of the other matrices represents said basis set, said basis set having a minimal crosscorrelation and a high autocorrelation.