Multiscale wireless communication

A method comprising:

• determining, by a computer, a wavelet transform using at least a parameter set, the parameter set configured to select one of a plurality of wavelets;
• modulating an input signal into a modulated output signal using the wavelet transform, wherein the modulated output signal is suitable for transmission over a wireless channel;
• receiving at least a portion of the parameter set used to transform an estimated channel matrix based at least in part on information received from a feedback path, wherein the information corresponds to quantized values of parameters in the at least the portion of the parameter set;
• determining a training sequence for a receiver to form the estimated channel matrix;
• and
• transmitting, by a transmitter, the modulated output signal and the training sequence over the wireless channel.

A method comprising:

• determining, by a computer, a wavelet transform using at least a parameter set, the parameter set configured to select one of a plurality of wavelets;
• modulating an input signal into a modulated output signal using the wavelet transform, wherein the modulated output signal is suitable for transmission over a wireless channel;
• receiving at least a portion of the parameter set used to transform an estimated channel matrix based at least in part on information received from a feedback path, wherein the information corresponds to quantized values of parameters in the at least the portion of the parameter set;
• determining a training sequence for a receiver to form the estimated channel matrix;
• and
• transmitting, by a transmitter, the modulated output signal and the training sequence over the wireless channel, wherein the wavelet transform comprises a K-point wavelet transform determined at least in part using at least a modified portion of the parameter set, where K is an integer.

A method comprising:

• determining, by a computer, a wavelet transform using at least an original parameter set;
• modulating an input signal comprising test data into a first modulated output signal using the wavelet transform wherein the first modulated output signal is suitable for transmission over a wireless channel;
• receiving at least a portion of the original parameter set used to transform an estimated channel matrix based at least in part on information received from a feedback path, wherein the information corresponds to quantized values of parameters in the at least the portion of the parameter set;
• determining a training sequence for a receiver to form the estimated channel matrix;
• transmitting the training sequence to the receiver to form the estimated channel matrix;
• determining a wavelet transform using at least a modified original parameter set, the modified original parameter set configured to select one of a plurality of wavelets;
• modulating an input signal comprising other data into a second modulated output signal using a wavelet transform determined using at least the modified original parameter set, wherein the second modulated output signal is suitable for transmission over the wireless channel;
• and
• transmitting, by a transmitter, the second modulated output signal over the wireless channel.

A computer readable storing medium embodied with a computer program whose instructions, when executed by a computer, cause the computer to perform operations comprising:

• determining, by a computer, a wavelet transform using at least a parameter set, the parameter set configured to select one of a plurality of wavelets;
• modulating an input signal into a modulated output signal using the wavelet transform, wherein the modulated output signal is suitable for transmission over a wireless channel;
• receiving, by a modulator, at least a portion of the parameter set used to transform an estimated channel matrix based at least in part on information received from a feedback path, wherein the information corresponds to quantized values of parameters in the at least the portion of the parameter set;
• determining a training sequence for a receiver to form the estimated channel matrix;
• and
• commanding transmission by a transmitter of the training sequence and the modulated output signal over the wireless channel, wherein the wavelet transform comprises a K-point wavelet transform determined at least in part using a modified parameter set, where K is an integer.

A memory medium readable by a computer, the medium embodying instructions, when executed, cause the computer to perform operations comprising:

• determining, by a computer, a wavelet transform using at least a parameter set, the parameter set configured to select one of a plurality of wavelets;
• modulating an input signal into a modulated output signal using the wavelet transform, wherein the modulated output signal is suitable for transmission over a wireless channel;
• receiving at least a portion of the parameter set used to transform an estimated channel matrix based at least in part on information received from a feedback path, wherein the information corresponds to quantized values of parameters in the at least the portion of the parameter set;
• determining a training sequence for a receiver to form the estimated channel matrix;
• and
• commanding transmission, by a transmitter, of the training sequence and the modulated output signal over the wireless channel.

A method comprising:

• determining, by a computer, a wavelet transform using at least a parameter set, the parameter set configured to select one of a plurality of wavelets;
• modulating an input signal into a modulated output signal using the wavelet transform, wherein the modulated output signal is suitable for transmission over a wireless channel;
• and
• receiving at least a portion of the parameter set used to transform an estimated channel matrix based at least in part on information received from a feedback path, wherein the information corresponds to quantized values of parameters in the at least the portion of the parameter set, wherein the wavelet transform comprises a K-point wavelet transform determined at least in part using at least a modified portion of the parameter set, where K is an integer;
• determining a training sequence for a receiver to form the estimated channel matrix;
• and
• transmitting, by a transmitter, the modulated output signal and the training sequence over the wireless channel.

A method comprising:

• determining, by a computer, a wavelet transform using at least a parameter set, the parameter set configured to select one of a plurality of wavelets;
• modulating an input signal into a modulated output signal using the wavelet transform, wherein the modulated output signal is suitable for transmission over a wireless channel;
• and
• receiving at least a portion of the parameter set used to transform an estimated channel matrix based at least in part on information received from a feedback path, wherein the information corresponds to quantized values of parameters in the at least the portion of the parameter set, wherein the information corresponds to quantized values of parameters in the at least the portion of the parameter set;
• determining a training sequence for a receiver to form the estimated channel matrix;
• and
• transmitting, by a transmitter, the modulated output signal and the training sequence over the wireless channel.

An apparatus comprising:

• a modulator configured to determine a wavelet transform using at least a parameter set, the parameter set configured to select one of a plurality of wavelets;
• configured to modulate an input signal into a modulated output signal using the wavelet transform, wherein the modulated output signal is suitable for transmission over a wireless channel;
• and, responsive to information received from a feedback path, the modulator configured to receive at least a portion of the parameter set used to transform an estimated channel matrix based at least in part on the received information, wherein the wavelet transform comprises a K-point wavelet transform determined at least in part using at least a modified portion of the parameter set, where K is an integer, wherein the modulator is further configured to determine a training sequence for a receiver to form the estimated channel matrix, and
• a transmitter configured to transmit the modulated output signal and the training sequence over a wireless channel.