System and method using high performance preamble cover sequences for multi-band OFDM two-band hopping modes
Methods and systems for packet preamble sequences are provided. The preamble sequences are produce by multiplying preestablished base sequences by cover sequences. The cover sequences are chosen for high-performance in multi-band OFDM systems with modes that include two-band hopping.
1. A method for use in forming packet preambles for transmission in an orthogonal frequency division multiplexing (OFDM) ultrawideband (UWB) communication system with frequency hopping, comprising:
providing a sequence of samples, the sequence of samples providing information for an OFDM symbol;
forming a sequence of OFDM symbols, the sequence including at least 12 OFDM symbols, each of the OFDM symbols in the sequence of OFDM symbols including the sequence of samples;
effectively multiplying the sequence of samples of the at least 12 OFDM symbols by a cover sequence including at least the sequence 1,1,−1,−1,1,1,1,1,1,1,−1,−1;
appending null samples to the OFDM symbols of the sequence of OFDM symbols;
converting the OFDM symbols of the sequence of OFDM symbols to analog signals;
upconverting the analog signals; and
transmitting the upconverted analog signals.
2. The method of claim 1 , wherein effectively multiplying the sequence of samples of the at least 12 OFDM symbols by the cover sequence including at least the sequence 1,1,−1,−1,1,1,1,1,1,1,−1,−1 begins prior to completion of forming the sequence of OFDM symbols, the sequence including at least 12 OFDM symbols, each of the OFDM symbols in the sequence of OFDM symbols including the sequence of samples.
3. The method of claim 1 wherein appending null samples to the OFDM symbols of the sequence of OFDM symbols begins prior to completion of effectively multiplying the sequence of samples of the at least 12 OFDM symbols by the cover sequence including at least the sequence 1,1,−1,−1,1,1,1,1,1,1,−1,−1.
4. The method of claim 1 wherein the sequence including at least 12 OFDM symbols includes 24 OFDM symbols, and the cover sequence including at least the sequence of 1,1,−1,−1,1,1,1,1,1,1,−1,−1 comprises the sequence 1,1,−1,−1,1,1,−1,−1,1,1,−1,−1,1,1,−1,−1,1,1,1,1,1,1,−1,−1.
5. The method of claim 1 wherein upconverting the analog signals comprises upconverting analog signals of some of the symbols to a first frequency band and upconverting analog signals of others of the symbols to a second frequency band.
6. The method of claim 5 wherein the upconverting analog signals of some of the symbols to the first frequency band and the upconverting analog signals of others of the symbols to the second frequency band alternates for each symbol in the sequence of OFDB symbols.
7. The method of claim 6 wherein the sequence of samples comprises:
{−1.71839, −1.86204, 0.905757, 0.952625, −0.569144, 0.315081, −1.00623, −0.106784, −1.87592, −2.22715, 1.82346, 1.44797, −0.480786, 0.76053, −0.83797, 0.355524, −1.48111, −2.06148, 2.18715, 1.48165, −0.299284, 0.978679, −0.400891, 0.702569, −0.669826, −1.21872, 1.92638, 0.870317, −0.105777, 1.09952, 0.099992, 0.90075, 1.58888, 0.791583, −0.226165, −0.633607, 1.00617, −0.968076, 0.679786, −0.740637, −0.934377, −0.964758, 1.14598, 0.851765, −0.525444, 1.23998, −0.282715, 1.06474, 1.32106, 1.23835, −0.868245, −0.581004, 0.666909, −0.860936, 0.426511, −0.608375, −1.0716, −0.608001, 0.664916, 0.759724, −0.703983, 1.18433, −0.346724, 0.986322, 1.40185, 1.42381, −1.18387, −0.933055, 0.734812, −1.15003, 0.45954, −0.968128, −0.769795, −0.723822, 0.347066, 0.493403, −0.337704, 0.310305, −0.310625, 0.216991, −0.522477, −0.471337, 0.653494, 0.230613, −0.307533, 0.617293, −0.00512736, 0.485328, 1.52893, 1.11155, −1.09096, −1.14209, 0.852415, −1.41346, 0.405391, −1.24147, −1.12345, −1.19409, 0.544909, 0.80687, −0.506365, 0.420691, −0.677206, 0.328716, −1.45608, −1.07134, 1.20535, 1.05171, −0.89962, 1.44196, −0.410178, 1.28199, 1.50468, 1.54035, −1.11545, −1.20858, 0.596274, −0.978615, 0.588076, −0.847837, 0.661121, 0.463196, −1.08588, −0.831786, 0.398391, −1.26054, −0.118344, −1.32903}.
8. The method of claim 6 wherein the sequence of samples comprises:
{−0.709287, 0.196382, 0.717199, 0.167068, 0.491982, 0.968591, 1.07801, −0.16507, 1.00049, 1.27463, −0.736549, 1.46804, −1.1951, −1.29485, −0.937993, 1.07245, −0.0594181, −0.642928, 0.2139, −0.390915, 1.19964, 0.714976, 1.08996, −0.783955, 1.19365, 1.0296, −0.31873, 1.16921, −0.691849, −1.26207, 0.0672225, 0.412628, 1.53257, 0.527927, −1.11151, 0.898484, −0.958906, −1.75356, −1.37891, 0.781072, −0.490595, −1.23786, 0.684915, −1.23716, 1.73149, 1.36218, 1.62283, −1.26545, 1.0818, 1.36513, −0.371019, 1.49052, −1.22151, −1.44194, −0.201372, 0.843202, 1.0981, 0.317421, −1.14583, 1.1083, −0.45842, −1.09703, −0.671209, 0.263438, 1.02879, 0.477165, −0.967624, 0.351718, −0.763946, −1.15018, −0.925918, 0.384683, −0.519759, −1.02282, 0.656262, −0.986919, 1.38886, 0.839087, 1.55166, −1.20209, 1.24309, 1.02726, −0.391436, 1.3033, −0.970741, −1.72141, −0.0048609, 0.443754, 1.49608, 0.253403, −1.24028, 1.10503, −0.609797, −1.64218, −0.702121, 0.117208, 1.38578, 0.45865, −1.46674, 0.499363, −1.35805, −1.76022, −1.82556, 0.640535, −0.955727, −1.36076, 0.256813, −1.60438, 0.863138, 1.0827, 0.0962362, −0.801902, −1.0242, −0.219133, 0.636153, −0.818528, −0.0661202, 0.732528, −0.0910565, 0.0915937, −1.46747, −0.70736, 0.967963, −0.906606, 0.882624, 1.58948, 0.752414, −0.351434}.
9. The method of claim 6 wherein the sequence of samples comprises:
{−0.05236, 1.10538, 0.438446, 1.01722, −0.865798, 0.262427, −0.791569, −0.054426, 0.309661, −1.08607, −1.43226, −0.610819, 0.686699, −1.20534, 0.156026, 1.16424, 0.825786, −0.484213, −1.75719, −1.43594, 1.61855, −0.66708, 1.45066, 1.18675, −1.18588, 1.4695, 1.24989, 1.47467, −1.00032, 0.429564, −1.04598, −0.540046, 0.83104, −1.48633, −1.65865, −1.09747, 0.994554, −1.30791, 0.599538, 1.45067, 0.490495, −0.111107, −1.36122, −0.803992, 1.25134, −0.433024, 0.954816, 1.24512, −0.852636, 1.21766, 0.482538, 1.17375, −0.598811, 0.456398, −0.801782, −0.00404091, 0.489696, −0.654527, −1.33046, −0.711104, 0.630054, −0.719436, 0.689404, 1.3098, 0.0158818, −0.0377884, −0.599077, 0.0581158, 0.842178, −0.697387, 0.267622, 0.930121, 0.969326, −0.268894, −1.06847, −1.04895, 1.73742, −0.411099, 1.50059, 0.911803, −0.623132, 1.71823, 1.81244, 1.30547, −0.487233, 1.31456, −0.528538, −1.44612, −0.04695, 0.535663, 1.3825, 0.385821, −1.05424, 1.15793, −0.291517, −1.48776, −0.794131, 0.234134, 1.70675, 1.11299, −1.84603, 0.58196, −1.46888, −1.49085, 0.762578, −1.81441, −1.25443, −1.34163, 0.312235, −1.13518, 0.461728, 0.834371, −0.105599, −0.488034, −0.847937, −0.223196, 0.458104, −0.818403, −0.180805, 0.782669, 0.44689, −0.329866, −1.59676, −0.991643, 0.937834, −0.424496, 0.765391, 1.0416}.
10. A transmitter for a multiband packet communication system, comprising:
an encoder for encoding a stream of bits pursuant to a forward error correction scheme;
an interleaver for interleaving the coded bits;
a mapper for mapping the interleaved bits into frequency-domain symbols;
a transform block for converting frequency-domain symbols from the mapper to a time-domain representation;
a preamble generator for producing packet preambles by multiplying a repeated base sequence by a cover sequence C, wherein C is represented by the sequence {+1 +1 −1 −1 +1 +1 −1−1 +1 +1 −1 −1 +1 +1 −1 −1 +1 +1 +1 +1 +1 +1 −1 −1} or the sequence {+1 +1 −1 −1 +1 +1 +1 +1 +1 +1−1, −1};a guard generator producing null intervals;
a filter configured to receive samples from the transform block, the preamble generator, and the guard generator and to modify a characteristic of the samples;
a digital-to-analog converter for converting the filtered samples to an analog signal; and
an upconverter for modulating the analog signal by a carrier frequency.
11. The transmitter for a multiband packet communication system of claim 10 , wherein the carrier frequency hops between two frequencies.
12. The transmitter for a multiband packet communication system of claim 10 , wherein the base sequence comprises:
{−0.71839, −1.86204, 0.905757, 0.952625, −0.569144, 0.315081, −1.00623, −0.106784, −1.87592, −2.22715, 1.82346, 1.44797, −0.480786, 0.76053, −0.83797, 0.355524, −1.48111, −2.06148, 2.18715, 1.48165, −0.299284, 0.978679, −0.400891, 0.702569, −0.669826, −1.21872, 1.92638, 0.870317, −0.105777, 1.09952, 0.099992, 0.90075, 1.58888, 0.791583, −0.226165, −0.633607, 1.00617, −0.968076, 0.679786, −0.740637, −0.934377, −0.964758, 1.14598, 0.851765, −0.525444, 1.23998, −0.282715, 1.06474, 1.32106, 1.23835, −0.868245, −0.581004, 0.666909, −0.860936, 0.426511, −0.608375, −1.0716, −0.608001, 0.664916, 0.759724, −0.703983, 1.18433, −0.346724, 0.986322, 1.40185, 1.42381, −1.18387, −0.933055, 0.734812, −1.15003, 0.45954, −0.968128, −0.769795, −0.723822, 0.347066, 0.493403, −0.337704, 0.310305, −0.310625, 0.216991, −0.522477, −0.471337, 0.653494, 0.230613, −0.307533, 0.617293, −0.00512736, 0.485328, 1.52893, 1.11155, −1.09096, −1.14209, 0.852415, −1.41346, 0.405391, −1.24147, −1.12345, −1.19409, 0.544909, 0.80687, −0.506365, 0.420691, −0.677206, 0.328716, −1.45608, −1.07134, 1.20535, 1.05171, −0.89962, 1.44196, −0.410178, 1.28199, 1.50468, 1.54035, −1.11545, −1.20858, 0.596274, −0.978615, 0.588076, −0.847837, 0.661121, 0.463196, −1.08588, −0.831786, 0.398391, −1.26054, −0.118344, −1.32903}.
13. The transmitter for a multiband packet communication system of claim 10 , wherein the base sequence comprises:
{−0.709287, 0.196382, 0.717199, 0.167068, 0.491982, 0.968591, 1.07801, −0.16507, 1.00049, 1.27463, −0.736549, 1.46804, −1.1951, −1.29485, −0.937993, 1.07245, −0.0594181, −0.642928, 0.2139, −0.390915, 1.19964, 0.714976, 1.08996, −0.783955, 1.19365, 1.0296, −0.31873, 1.16921, −0.691849, −1.26207, 0.0672225, 0.412628, 1.53257, 0.527927, −1.11151, 0.898484, −0.958906, −1.75356, −1.37891, 0.781072, −0.490595, −1.23786, 0.684915, −1.23716, 1.73149, 1.36218, 1.62283, −1.26545, 1.0818, 1.36513, −0.371019, 1.49052, −1.22151, −1.44194, −0.201372, 0.843202, 1.0981, 0.317421, −1.14583, 1.1083, −0.45842, −1.09703, −0.671209, 0.263438, 1.02879, 0.477165, −0.967624, 0.351718, −0.763946, −1.15018, −0.925918, 0.384683, −0.519759, −1.02282, 0.656262, −0.986919, 1.38886, 0.839087, 1.55166, −1.20209, 1.24309, 1.02726, −0.391436, 1.3033, −0.970741, −1.72141, −0.0048609, 0.443754, 1.49608, 0.253403, −1.24028, 1.10503, −0.609797, −1.64218, −0.702121, 0.117208, 1.38578, 0.45865, −1.46674, 0.499363, −1.35805, −1.76022, −1.82556, 0.640535, −0.955727, −1.36076, 0.256813, −1.60438, 0.863138, 1.0827, 0.0962362, −0.801902, −1.0242, −0.219133, 0.636153, −0.818528, −0.0661202, 0.732528, −0.0910565, 0.0915937, −1.46747, −0.70736, 0.967963, −0.906606, 0.882624, 1.58948, 0.752414, −0.351434}.
14. The transmitter for a multiband packet communication system of claim 10 , wherein the base sequence comprises:
{−0.05236, 1.10538, 0.438446, 1.01722, −0.865798, 0.262427, −0.791569, −0.054426, 0.309661, −1.08607, −1.43226, −0.610819, 0.686699, −1.20534, 0.156026, 1.16424, 0.825786, −0.484213, −1.75719, −1.43594, 1.61855, −0.66708, 1.45066, 1.18675, −1.18588, 1.4695, 1.24989, 1.47467, −1.00032, 0.429564, −1.04598, −0.540046, 0.83104, −1.48633, −1.65865, −1.09747, 0.994554, −1.30791, 0.599538, 1.45067, 0.490495, −0.111107, −1.36122, −0.803992, 1.25134, −0.433024, 0.954816, 1.24512, −0.852636, 1.21766, 0.482538, 1.17375, −0.598811, 0.456398, −0.801782, −0.00404091, 0.489696, −0.654527, −1.33046, −0.711104, 0.630054, −0.719436, 0.689404, 1.3098, 0.0158818, −0.0377884, −0.599077, 0.0581158, 0.842178, −0.697387, 0.267622, 0.930121, 0.969326, −0.268894, −1.06847, −1.04895, 1.73742, −0.411099, 1.50059, 0.911803, −0.623132, 1.71823, 1.81244, 1.30547, −0.487233, 1.31456, −0.528538, −1.44612, −0.04695, 0.535663, 1.3825, 0.385821, −1.05424, 1.15793, −0.291517, −1.48776, −0.794131, 0.234134, 1.70675, 1.11299, −1.84603, 0.58196, −1.46888, −1.49085, 0.762578, −1.81441, −1.25443, −1.34163, 0.312235, −1.13518, 0.461728, 0.834371, −0.105599, −0.488034, −0.847937, −0.223196, 0.458104, −0.818403, −0.180805, 0.782669, 0.44689, −0.329866, −1.59676, −0.991643, 0.937834, −0.424496, 0.765391, 1.0416}.
15. A method of transmitting packet preamble sequences, comprising:
producing a base sequence;
multiplying each of a sequence of repetitions of the base sequence by elements of a cover sequence C to produce a preamble sequence, wherein C is represented by the sequence {+1 +1−1 −1 +1 +1 −1 −1 +1 +1 −1 −1 +1 +1 −1 −1 −1 +1 +1 +1 +1 +1 −1 −1} or the sequence {+1 +1 −1 −1 +1 +1 +1 +1 +1 +1 −1 −1}; and
transmitting the preamble sequence.
16. The method of claim 15 wherein transmitting comprises two-band frequency hopping.
17. The method of claim 16 wherein transmitting further comprises orthogonal frequency division modulation.
18. The method of claim 15 wherein the base sequence comprises:
{−0.71839, −1.86204, 0.905757, 0.952625, −0.569144, 0.315081, −1.00623, −0.106784, −1.87592, −2.22715, 1.82346, 1.44797, −0.480786, 0.76053, −0.83797, 0.355524, −1.48111, −2.06148, 2.18715, 1.48165, −0.299284, 0.978679, −0.400891, 0.702569, −0.669826, −1.21872, 1.92638, 0.870317, −0.105777, 1.09952, 0.099992, 0.90075, 1.58888, 0.791583, −0.226165, −0.633607, 1.00617, −0.968076, 0.679786, −0.740637, −0.934377, −0.964758, 1.14598, 0.851765, −0.525444, 1.23998, −0.282715, 1.06474, 1.32106, 1.23835, −0.868245, −0.581004, 0.666909, −0.860936, 0.426511, −0.608375, −1.0716, −0.608001, 0.664916, 0.759724, −0.703983, 1.18433, −0.346724, 0.986322, 1.40185, 1.42381, −1.18387, −0.933055, 0.734812, −1.15003, 0.45954, −0.968128, −0.769795, −0.723822, 0.347066, 0.493403, −0.337704, 0.310305, −0.310625, 0.216991, −0.522477, −0.471337, 0.653494, 0.230613, −0.307533, 0.617293, −0.00512736, 0.485328, 1.52893, 1.11155, −1.09096, −1.14209, 0.852415, −1.41346, 0.405391, −1.24147, −1.12345, −1.19409, 0.544909, 0.80687, −0.506365, 0.420691, −0.677206, 0.328716, −1.45608, −1.07134, 1.20535, 1.05171, −0.89962, 1.44196, −0.410178, 1.28199, 1.50468, 1.54035, −1.11545, −1.20858, 0.596274, −0.978615, 0.588076, −0.847837, 0.661121, 0.463196, −1.08588, −0.831786, 0.398391, −1.26054, −0.118344, −1.32903}.
19. The method of claim 15 wherein the base sequence comprises:{−0.709287, 0.196382, 0.717199, 0.167068, 0.491982, 0.968591, 1.07801, −0.16507, 1.00049, 1.27463, −0.736549, 1.46804, −1.1951, −1.29485, −0.937993, 1.07245, −0.0594181, −0.642928, 0.2139, −0.390915, 1.19964, 0.714976, 1.08996, −0.783955, 1.19365, 1.0296, −0.31873, 1.16921, −0.691849, −1.26207, 0.0672225, 0.412628, 1.53257, 0.527927, −1.11151, 0.898484, −0.958906, −1.75356, −1.37891, 0.781072, −0.490595, −1.23786, 0.684915, −1.23716, 1.73149, 1.36218, 1.62283, −1.26545, 1.0818, 1.36513, −0.371019, 1.49052, −1.22151, −1.44194, −0.201372, 0.843202, 1.0981, 0.317421, −1.14583, 1.1083, −0.45842, −1.09703, −0.671209, 0.263438, 1.02879, 0.477165, −0.967624, 0.351718, −0.763946, −1.15018, −0.925918, 0.384683, −0.519759, −1.02282, 0.656262, −0.986919, 1.38886, 0.839087, 1.55166, −1.20209, 1.24309, 1.02726, −0.391436, 1.3033, −0.970741, −1.72141, −0.0048609, 0.443754, 1.49608, 0.253403, −1.24028, 1.10503, −0.609797, −1.64218, −0.702121, 0.117208, 1.38578, 0.45865, −1.46674, 0.499363, −1.35805, −1.76022, −1.82556, 0.640535, −0.955727, −1.36076, 0.256813, −1.60438, 0.863138, 1.0827, 0.0962362, −0.801902, −1.0242, −0.219133, 0.636153, −0.818528, −0.0661202, 0.732528, −0.0910565, 0.0915937, −1.46747, −0.70736, 0.967963, −0.906606, 0.882624, 1.58948, 0.752414, −0.351434}.
20. The method of claim 15 wherein the base sequence comprises:
{−0.05236, 1.10538, 0.438446, 1.01722, −0.865798, 0.262427, −0.791569, −0.054426, 0.309661, −1.08607, −1.43226, −0.610819, 0.686699, −1.20534, 0.156026, 1.16424, 0.825786, −0.484213, −1.75719, −1.43594, 1.61855, −0.66708, 1.45066, 1.18675, −1.18588, 1.4695, 1.24989, 1.47467, −1.00032, 0.429564, −1.04598, −0.540046, 0.83104, −1.48633, −1.65865, −1.09747, 0.994554, −1.30791, 0.599538, 1.45067, 0.490495, −0.111107, −1.36122, −0.803992, 1.25134, −0.433024, 0.954816, 1.24512, −0.852636, 1.21766, 0.482538, 1.17375, −0.598811, 0.456398, −0.801782, −0.00404091, 0.489696, −0.654527, −1.33046, −0.711104, 0.630054, −0.719436, 0.689404, 1.3098, 0.0158818, −0.0377884, −0.599077, 0.0581158, 0.842178, −0.697387, 0.267622, 0.930121, 0.969326, −0.268894, −1.06847, −1.04895, 1.73742, −0.411099, 1.50059, 0.911803, −0.623132, 1.71823, 1.81244, 1.30547, −0.487233, 1.31456, −0.528538, −1.44612, −0.04695, 0.535663, 1.3825, 0.385821, −1.05424, 1.15793, −0.291517, −1.48776, −0.794131, 0.234134, 1.70675, 1.11299, −1.84603, 0.58196, −1.46888, −1.49085, 0.762578, −1.81441, −1.25443, −1.34163, 0.312235, −1.13518, 0.461728, 0.834371, −0.105599, −0.488034, −0.847937, −0.223196, 0.458104, −0.818403, −0.180805, 0.782669, 0.44689, −0.329866, −1.59676, −0.991643, 0.937834, −0.424496, 0.765391, 1.0416}.
21. A method of detecting packet preamble sequences for a multiband packet communication system, comprising:
receiving a plurality of symbols;
detecting base sequences in the received symbols;
correlating the detected base sequences with a cover sequence C, wherein C is represented by the sequence {+1 +1 −1 −1 +1 +1 −1 −1 +1 +1 −1 −1 +1 +1 −1 −1 +1 +1 +1 +1 +1 +1 −1−1} or the sequence {+1 +1 −1 −1 +1 +1 +1 +1 +1 +1 −1 −1}; and
signaling reception of a preamble sequence if the correlation is sufficient.
22. The method of claim 21 wherein detecting base sequences comprises computing an autocorrelation of the plurality of symbols.
23. The method of claim 21 wherein the detected base sequence comprises:
{−1.71839, −1.86204, 0.905757, 0.952625, −0.569144, 0.315081, −1.00623, −0.106784, −1.87592, −2.22715, 1.82346, 1.44797, −0.480786, 0.76053, −0.83797, 0.355524, −1.48111, −2.06148, 2.18715, 1.48165, −0.299284, 0.978679, −0.400891, 0.702569, −0.669826, −1.21872, 1.92638, 0.870317, −0.105777, 1.09952, 0.099992, 0.90075, 1.58888, 0.791583, −0.226165, −0.633607, 1.00617, −0.968076, 0.679786, −0.740637, −0.934377, −0.964758, 1.14598, 0.851765, −0.525444, 1.23998, −0.282715, 1.06474, 1.32106, 1.23835, −0.868245, −0.581004, 0.666909, −0.860936, 0.426511, −0.608375, −1.0716, −0.608001, 0.664916, 0.759724, −0.703983, 1.18433, −0.346724, 0.986322, 1.40185, 1.42381, −1.18387, −0.933055, 0.734812, −1.15003, 0.45954, −0.968128, −0.769795, −0.723822, 0.347066, 0.493403, −0.337704, 0.310305, −0.310625, 0.216991, −0.522477, −0.471337, 0.653494, 0.230613, −0.307533, 0.617293, −0.00512736, 0.485328, 1.52893, 1.11155, −1.09096, −1.14209, 0.852415, −1.41346, 0.405391, −1.24147, −1.12345, −1.19409, 0.544909, 0.80687, −0.506365, 0.420691, −0.677206, 0.328716, −1.45608, −1.07134, 1.20535, 1.05171, −0.89962, 1.44196, −0.410178, 1.28199, 1.50468, 1.54035, −1.11545, −1.20858, 0.596274, −0.978615, 0.588076, −0.847837, 0.661121, 0.463196, −1.08588, −0.831786, 0.398391, −1.26054, −0.118344, −1.32903}.
24. The method of claim 21 wherein the detected base sequence comprises:
{−0.709287, 0.196382, 0.717199, 0.167068, 0.491982, 0.968591, 1.07801, −0.16507, 1.00049, 1.27463, −0.736549, 1.46804, −1.1951, −1.29485, −0.937993, 1.07245, −0.0594181, −0.642928, 0.2139, −0.390915, 1.19964, 0.714976, 1.08996, −0.783955, 1.19365, 1.0296, −0.31873, 1.16921, −0.691849, −1.26207, 0.0672225, 0.412628, 1.53257, 0.527927, −1.11151, 0.898484, −0.958906, −1.75356, −1.37891, 0.781072, −0.490595, −1.23786, 0.684915, −1.23716, 1.73149, 1.36218, 1.62283, −1.26545, 1.0818, 1.36513, −0.371019, 1.49052, −1.22151, −1.44194, −0.201372, 0.843202, 1.0981, 0.317421, −1.14583, 1.1083, −0.45842, −1.09703, −0.671209, 0.263438, 1.02879, 0.477165, −0.967624, 0.351718, −0.763946, −1.15018, −0.925918, 0.384683, −0.519759, −1.02282, 0.656262, −0.986919, 1.38886, 0.839087, 1.55166, −1.20209, 1.24309, 1.02726, −0.391436, 1.3033, −0.970741, −1.72141, −0.0048609, 0.443754, 1.49608, 0.253403, −1.24028, 1.10503, −0.609797, −1.64218, −0.702121, 0.117208, 1.38578, 0.45865, −1.46674, 0.499363, −1.35805, −1.76022, −1.82556, 0.640535, −0.955727, −1.36076, 0.256813, −1.60438, 0.863138, 1.0827, 0.0962362, −0.801902, −0.0242, −0.219133, 0.636153, −0.818528, −0.0661202, 0.732528, −0.0910565, 0.0915937, −1.46747, −0.70736, 0.967963, −0.906606, 0.882624, 1.58948, 0.752414, −0.351434}.
25. The method of claim 21 wherein the detected base sequence comprises:
{−1.05236, 1.10538, 0.438446, 1.01722, −0.865798, 0.262427, −0.791569, −0.054426, 0.309661, −1.08607, −1.43226, −0.610819, 0.686699, −1.20534, 0.156026, 1.16424, 0.825786, −0.484213, −1.75719, −1.43594, 1.61855, −0.66708, 1.45066, 1.18675, −1.18588, 1.4695, 1.24989, 1.47467, −1.00032, 0.429564, −1.04598, −0.540046, 0.83104, −1.48633, −1.65865, −1.09747, 0.994554, −1.30791, 0.599538, 1.45067, 0.490495, −0.111107, −1.36122, −0.803992, 1.25134, −0.433024, 0.954816, 1.24512, −0.852636, 1.21766, 0.482538, 1.17375, −0.598811, 0.456398, −0.801782, −0.00404091, 0.489696, −0.654527, −1.33046, −0.711104, 0.630054, −0.719436, 0.689404, 1.3098, 0.0158818, −0.0377884, −0.599077, 0.0581158, 0.842178, −0.697387, 0.267622, 0.930121, 0.969326, −0.268894, −1.06847, −1.04895, 1.73742, −0.411099, 1.50059, 0.911803, −0.623132, 1.71823, 1.81244, 1.30547, −0.487233, 1.31456, −0.528538, −1.44612, −0.04695, 0.535663, 1.3825, 0.385821, −1.05424, 1.15793, −0.291517, −1.48776, −0.794131, 0.234134, 1.70675, 1.11299, −1.84603, 0.58196, −1.46888, −1.49085, 0.762578, −1.81441, −1.25443, −1.34163, 0.312235, −1.13518, 0.461728, 0.834371, −0.105599, −0.488034, −0.847937, −0.223196, 0.458104, −0.818403, −0.180805, 0.782669, 0.44689, −0.329866, −1.59676, −0.991643, 0.937834, −0.424496, 0.765391, 1.0416}.
26. A receiver for a multiband packet communication system, comprising:
a radio frequency downconverter receiving a radio frequency signal and producing a baseband signal;
an analog-to-digital converter for converting the baseband signal to digital samples; and
a signal processing block for receiving the digital samples and detecting a preamble sequence, where the preamble sequence comprises a base sequence multiplied by a cover sequence C, wherein C is represented by the sequence {+1 +1 −1 −1 +1 +1 −1 −1 +1 +1 −1 −1 +1 +1−1 −1 +1 +1 +1 +1 +1 +1 −1 −1} or the sequence {+1 +1 −1 −1 +1 +1 +1 +1 +1 +1 −1 −1}.
27. The receiver for a multiband packet communication system of claim 26 wherein the signal processing block comprises an auto-correlation of the digital samples to a detect base sequence.
28. The receiver for a multiband packet communication system of claim 26 wherein the signal processing block further comprises a cross-correlation of the detected base sequence and the cover sequence.
29. The receiver for a multiband packet communication system of claim 26 wherein a radio frequency downconverter hops between two frequency bands.
30. The receiver for a multiband packet communication system of claim 29 wherein the base sequence comprises:
{−1.71839, −1.86204, 0.905757, 0.952625, −0.569144, 0.315081, −1.00623, −0.106784, −1.87592, −2.22715, 1.82346, 1.44797, −0.480786, 0.76053, −0.83797, 0.355524, −1.48111, −2.06148, 2.18715, 1.48165, −0.299284, 0.978679, −0.400891, 0.702569, −0.669826, −1.21872, 1.92638, 0.870317, −0.105777, 1.09952, 0.099992, 0.90075, 1.58888, 0.791583, −0.226165, −0.633607, 1.00617, −0.968076, 0.679786, −0.740637, −0.934377, −0.964758, 1.14598, 0.851765, −0.525444, 1.23998, −0.282715, 1.06474, 1.32106, 1.23835, −0.868245, −0.581004, 0.666909, −0.860936, 0.426511, −0.608375, −1.0716, −0.608001, 0.664916, 0.759724, −0.703983, 1.18433, −0.346724, 0.986322, 1.40185, 1.42381, −1.18387, −0.933055, 0.734812, −1.15003, 0.45954, −0.968128, −0.769795, −0.723822, 0.347066, 0.493403, −0.337704, 0.310305, −0.310625, 0.216991, −0.522477, −0.471337, 0.653494, 0.230613, −0.307533, 0.617293, −0.00512736, 0.485328, 1.52893, 1.11155, −1.09096, −1.14209, 0.852415, −1.41346, 0.405391, −1.24147, −1.12345, −1.19409, 0.544909, 0.80687, −0.506365, 0.420691, −0.677206, 0.328716, −1.45608, −1.07134, 1.20535, 1.05171, −0.89962, 1.44196, −0.410178, 1.28199, 1.50468, 1.54035, −1.11545, −1.20858, 0.596274, −0.978615, 0.588076, −0.847837, 0.661121, 0.463196, −1.08588, −0.831786, 0.398391, −1.26054, −0.118344, −1.32903}.
31. The receiver for a multiband packet communication system of claim 29 wherein the base sequence comprises:
{−0.709287, 0.196382, 0.717199, 0.167068, 0.491982, 0.968591, 1.07801, −0.16507, 1.00049, 1.27463, −0.736549, 1.46804, −1.1951, −1.29485, −0.937993, 1.07245, −0.0594181, −0.642928, 0.2139, −0.390915, 1.19964, 0.714976, 1.08996, −0.783955, 1.19365, 1.0296, −0.31873, 1.16921, −0.691849, −1.26207, 0.0672225, 0.412628, 1.53257, 0.527927, −1.11151, 0.898484, −0.958906, −1.75356, −1.37891, 0.781072, −0.490595, −1.23786, 0.684915, −1.23716, 1.73149, 1.36218, 1.62283, −1.26545, 1.0818, 1.36513, −0.371019, 1.49052, −1.22151, −1.44194, −0.201372, 0.843202, 1.0981, 0.317421, −1.14583, 1.1083, −0.45842, −1.09703, −0.671209, 0.263438, 1.02879, 0.477165, −0.967624, 0.351718, −0.763946, −1.15018, −0.925918, 0.384683, −0.519759, −1.02282, 0.656262, −0.986919, 1.38886, 0.839087, 1.55166, −1.20209, 1.24309, 1.02726, −0.391436, 1.3033, −0.970741, −1.72141, −0.0048609, 0.443754, 1.49608, 0.253403, −1.24028, 1.10503, −0.609797, −1.64218, −0.702121, 0.117208, 1.38578, 0.45865, −1.46674, 0.499363, −1.35805, −1.76022, −1.82556, 0.640535, −0.955727, −1.36076, 0.256813, −1.60438, 0.863138, 1.0827, 0.0962362, −0.801902, −1.0242, −0.219133, 0.636153, −0.818528, −0.0661202, 0.732528, −0.0910565, 0.0915937, −1.46747, −0.70736, 0.967963, −0.906606, 0.882624, 1.58948, 0.752414, −0.351434}.
32. The receiver for a multiband packet communication system of claim 29 wherein the base sequence comprises:
{−0.05236, 1.10538, 0.438446, 1.01722, −0.865798, 0.262427, −0.791569, −0.054426, 0.309661, −1.08607, −1.43226, −0.610819, 0.686699, −1.20534, 0.156026, 1.16424, 0.825786, −0.484213, −1.75719, −1.43594, 1.61855, −0.66708, 1.45066, 1.18675, −1.18588, 1.4695, 1.24989, 1.47467, −1.00032, 0.429564, −1.04598, −0.540046, 0.83104, −1.48633, −1.65865, −1.09747, 0.994554, −1.30791, 0.599538, 1.45067, 0.490495, −0.111107, −1.36122, −0.803992, 1.25134, −0.433024, 0.954816, 1.24512, −0.852636, 1.21766, 0.482538, 1.17375, −0.598811, 0.456398, −0.801782, −0.00404091, 0.489696, −0.654527, −1.33046, −0.711104, 0.630054, −0.719436, 0.689404, 1.3098, 0.0158818, −0.0377884, −0.599077, 0.0581158, 0.842178, −0.697387, 0.267622, 0.930121, 0.969326, −0.268894, −1.06847, −1.04895, 1.73742, −0.411099, 1.50059, 0.911803, −0.623132, 1.71823, 1.81244, 1.30547, −0.487233, 1.31456, −0.528538, −1.44612, −0.04695, 0.535663, 1.3825, 0.385821, −1.05424, 1.15793, −0.291517, −1.48776, −0.794131, 0.234134, 1.70675, 1.11299, −1.84603, 0.58196, −1.46888, −1.49085, 0.762578, −1.81441, −1.25443, −1.34163, 0.312235, −1.13518, 0.461728, 0.834371, −0.105599, −0.488034, −0.847937, −0.223196, 0.458104, −0.818403, −0.180805, 0.782669, 0.44689, −0.329866, −1.59676, −0.991643, 0.937834, −0.424496, 0.765391, 1.0416}.