Frequency hop sequences for multi-band communication systems

A method of processing data for transmission in a multi-band communication system, comprising:

• receiving data for transmission on a plurality of frequency bands;
• determining a particular one of the plurality of frequency bands to use in each of a plurality of dine intervals based on a frequency hop (FH) sequence, wherein the FH sequence is generated based on an algebraic expression y(k) =logα1/k (mod p), where p is a prime number, α is a primitive root of p, k is an index for elements of the FH sequence, and (mod p) denotes modulo-p operation;
• and
• processing the data for transmission on frequency bands determined by the FH sequence.

An apparatus in a multi-band communication system, comprising:

• means for receiving data for transmission on a plurality of frequency bands;
• means for determining a particular one of the plurality of frequency bands to use in each of a plurality of time intervals based on a frequency hop (FH) sequence, wherein the FH sequence is generated based on an algebraic expression y(k)=logα1/k (mod p), where p is a prime number, α is a primitive root of p, k is an index for elements of the FH sequence, and (mod p) denotes modulo-p operation;
• and
• means for processing the data for transmission on frequency bands determined by the FH sequence.

A transmitter unit in a multi-band communication system, comprising:

• a modulator operative to modulate data for transmission on a plurality of frequency bands;
• a switch operative to determine a particular one of the plurality of frequency bands to use in each of a plurality of lime intervals based on a frequency hop (FH) sequence, wherein the FH sequence is generated based on an algebraic expression y(k)=logα1/k (mod p), where p is a prime number, α is a primitive root of p, k is an index for elements of the FH sequence, and (mod p) denotes inodulo-p operation;
• and
• a signal processor operative to process the modulated data for transmission on frequency bands determined by the FH sequence.

A method of processing data for transmission in a multi-band communication system, comprising:

• receiving data for transmission on a first traffic channel;
• determining a particular one of a plurality of frequency bands to use forte first traffic channel in each of a plurality of time intervals based on a first frequency hop (FH) sequence, wherein the first FH sequence is assigned to the first traffic channel and generated based on an algebraic expression y(k)=logα1/k (mod p), where p is a prime number, α is a primitive root of p, k is an index for elements of the first FH sequence, and (mod p) denotes modulo-p operation;
• and
• processing the data for the first traffic channel for transmission on frequency bands determined by the first FH sequence.

A method of recovering a data transmission in a multi-band communication system, comprising:

• obtaining received symbols for a plurality of frequency hands;
• determining a particular one of the plurality of frequency bands used for the data transmission in each of a plurality of time intervals based on a frequency hop (FH) sequence, wherein the FH sequence is assigned to the data transmission and generated based on an algebraic expression y(k)=logα1/k (mod p) where p is a prime number, α is a primitive root of p, k is an index for elements of the FH sequence, and (mod p) denotes modulo-p operation;
• and
• processing received symbols for frequency bands determined by the FH sequence to recover the data transmission.

An apparatus in a multi-band communication system, comprising:

• means for obtaining received symbols for a plurality of frequency bands;
• means for determining a particular one of the plurality of frequency bands used for the data transmission in each of a plurality of time intervals based on a frequency hop (FH) sequence, wherein the FH sequence is assigned to the data transmission and generated based on an algebraic expression y(k)=logα1/k (mod p), where p is a prime number, α is a primitive root of p, k is an index for elements of the FH sequence, and (mod p) denotes modulo-p operation;
• and
• means for processing received symbols for frequency bands determined by the FH sequence to recover the data transmission.

A method of obtaining a frequency hop sequence, comprising:

• generating a first sequence of elements that are indexed;
• obtaining a second sequence of elements utilizing a logarithmic function and a modulo operation from the elements of the first sequence, and
• generating a frequency hop sequence based upon the second sequence,
• wherein the logarithmic function comprises logα1/k and the modulo operation comprises mod(p), where p is a prime number and α a is a primitive root of p.

A transmitter comprising:

• a controller that generates frequency hopping sequence utilizing a logarithmic function and a modulo operation;
• a modulator that modulates data;
• and
• a switch that assigns a frequency of a plurality of frequencies to the data according to the frequency hopping sequence,
• wherein the logarithmic function comprises logα1/k and the modulo operation comprises mod(p), where p is a prime number and α is a primitive root of p.