WO2009093628A1 - 無線アクセスシステムの送信機及び受信機、無線アクセスシステムの送信方法及び受信方法、並びにプログラム - Google Patents
無線アクセスシステムの送信機及び受信機、無線アクセスシステムの送信方法及び受信方法、並びにプログラム Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04J—MULTIPLEX COMMUNICATION
- H04J13/00—Code division multiplex systems
- H04J13/0007—Code type
- H04J13/0055—ZCZ [zero correlation zone]
- H04J13/0059—CAZAC [constant-amplitude and zero auto-correlation]
- H04J13/0062—Zadoff-Chu
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04J—MULTIPLEX COMMUNICATION
- H04J13/00—Code division multiplex systems
- H04J13/0007—Code type
- H04J13/0055—ZCZ [zero correlation zone]
- H04J13/0059—CAZAC [constant-amplitude and zero auto-correlation]
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04J—MULTIPLEX COMMUNICATION
- H04J13/00—Code division multiplex systems
- H04J13/10—Code generation
- H04J13/14—Generation of codes with a zero correlation zone
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W74/00—Wireless channel access, e.g. scheduled or random access
- H04W74/08—Non-scheduled or contention based access, e.g. random access, ALOHA, CSMA [Carrier Sense Multiple Access]
Definitions
- the present invention relates to a transmitter and a receiver of a wireless access system.
- 3GPP (3rd Generation Partnership Project) LTE (Long Term Evolution) employs single carrier FDMA as an uplink radio access method (3GPP TS 36.211 V2.0.0, 2007-09, pages 15, 5 Section 5.1.1).
- 3GPP LTE a reference signal is transmitted for the purpose of performing channel estimation for data demodulation and CQI (Channel Quality Information) estimation for uplink scheduling on the receiving side.
- 3GPP LTE specifies that a Zadoff-Chu sequence that is one of CAZAC (Constant Amplitude Zero Auto-Correlation) sequences is used as the reference signal.
- a similar Zadoff-Chu sequence is also used for a preamble signal in random access. Further, a similar Zadoff-Chu sequence is also used for a reference signal transmitted together with a data signal during data channel transmission.
- CAZAC sequence is a constant amplitude in both the time domain and the frequency domain, and the periodic autocorrelation value is always 0 (Zero Auto-Correlation) for a time shift other than 0. It is a series. Since CAZAC sequences have a constant amplitude in the time domain, the PAPR (Peak to Average Power Ratio) can be kept small, and since the amplitude is also constant in the frequency domain, channel estimation in the frequency domain is possible. It is a series suitable for.
- a small PAPR means that power consumption can be kept low, and this is a property that is particularly preferred in mobile communications. Further, since it has a complete autocorrelation characteristic, there is an advantage that it is suitable for user signal detection in random access and timing detection of a received signal.
- the sequence definition formula of the Zadoff-Chu sequence used as the preamble for the random access channel specified in 3GPP LTE is expressed by Formula 1.
- the CAZAC sequence is a sequence definition formula that includes a quadratic formula related to n in the exponential shoulder formula.
- a Zadoff-Chu sequence defined by an expression including a quadratic expression related to n in the index for random access transmission / reception in uplink, data channel reference signal transmission / reception, etc. It is necessary to generate a CAZAC sequence such as in each terminal / base station. However, when a CAZAC sequence is generated according to the sequence definition formula, the following problem occurs.
- An object of the present invention is to provide a transmitter / receiver for a wireless access system, a transmission / reception method for a wireless access system, and a program capable of solving the above-described problems.
- the transmitter of the wireless access system of the present invention is: An arithmetic unit that obtains the exponent by converting the arithmetic processing of the quadratic expression included in the exponent of the CAZAC sequence definition formula into the recurrence formula arithmetic processing obtained according to the periodicity of the CAZAC sequence definition formula; A sequence generation unit that generates a CAZAC sequence using the exponent determined by the calculation unit; A transmitter that transmits the CAZAC sequence generated by the sequence generator as a reference signal of a data signal or as a preamble signal of random access; Is provided.
- the receiver of the wireless access system of the present invention is An arithmetic unit that obtains the exponent by converting the arithmetic processing of the quadratic expression included in the exponent of the CAZAC sequence definition formula into the recurrence formula arithmetic processing obtained according to the periodicity of the CAZAC sequence definition formula; A sequence generation unit that generates a CAZAC sequence using the exponent determined by the calculation unit; Receiving a reference signal of a data signal or a preamble signal of random access consisting of the same sequence as the CAZAC sequence, using the reference signal or random access preamble signal and the CAZAC sequence generated by the sequence generation unit, A receiving unit for detecting the data signal or a random access user.
- the transmission method of the wireless access system of the present invention includes: The arithmetic processing of the quadratic expression included in the exponent of the CAZAC sequence definition formula is converted into the recurrence formula arithmetic processing obtained according to the periodicity of the CAZAC sequence definition formula, and the exponent is obtained.
- a CAZAC sequence is generated using the exponent obtained by the recursive formula calculation process,
- the CAZAC sequence is transmitted as a data signal reference signal or a random access preamble signal.
- the reception method of the wireless access system of the present invention includes: The arithmetic processing of the quadratic expression included in the exponent of the CAZAC sequence definition formula is converted into the recurrence formula arithmetic processing obtained according to the periodicity of the CAZAC sequence definition formula, and the exponent is obtained.
- a CAZAC sequence is generated using the exponent obtained by the recursive formula calculation process, Receiving a reference signal of a data signal or a preamble signal of random access consisting of the same sequence as the CAZAC sequence; The data signal or random access user is detected using the reference signal or random access preamble signal and the CAZAC sequence.
- the first program of the present invention is: Processing for obtaining the exponent by converting the arithmetic processing of the quadratic expression included in the exponent of the CAZAC sequence definition formula into the arithmetic processing of the recurrence formula obtained according to the periodicity of the CAZAC sequence definition formula; A process of generating a CAZAC sequence using the exponent determined by the recursive formula calculation process; Processing for transmitting the CAZAC sequence as a data signal reference signal or a random access preamble signal is executed by a computer.
- the second program of the present invention is: Processing for obtaining the exponent by converting the arithmetic processing of the quadratic expression included in the exponent of the CAZAC sequence definition formula into the arithmetic processing of the recurrence formula obtained according to the periodicity of the CAZAC sequence definition formula; A process of generating a CAZAC sequence using the exponent determined by the recursive formula calculation process; A process of receiving a reference signal of a data signal or a preamble signal of random access, which consists of the same sequence as the CAZAC sequence; Using the reference signal or random access preamble signal and the CAZAC sequence, the computer is caused to execute processing for detecting the data signal or random access user.
- FIG. 1 shows the configuration of the wireless access system of the present invention.
- a radio access system such as a single carrier transmission system includes a transmitter 100 and a receiver 200.
- the transmitter 100 generates a reference signal and transmits the generated reference signal to the receiver 200.
- the receiver 200 generates a reference signal for data demodulation.
- the signal generated by the receiver 200 is the same as the reference signal generated by the transmitter 100.
- the transmitter 100 generates a preamble signal and transmits the generated preamble signal to the receiver 200.
- a preamble signal is generated and used for user detection of random access and the like.
- a CAZAC sequence such as a Zadoff-Chu sequence is used.
- FIG. 2A shows the configuration of the transmitter of the wireless access system according to the first embodiment of the present invention
- FIG. 3A shows the transmission processing method (procedure)
- FIG. 2B shows the configuration of the receiver of the wireless access system according to the first embodiment of the present invention
- FIG. 3B shows the reception processing method (procedure).
- FIGS. 4A and 4B show configurations of apparatuses that implement the transmission and reception processes of the wireless access system according to the first embodiment of the present invention by a computer program, respectively.
- the transmitter of the radio access system receives a sequence definition expression including a quadratic expression as an index, and performs a recurrence obtained by calculating the quadratic expression according to the periodicity of the sequence definition expression.
- An arithmetic unit 11 that generates an exponent by converting into arithmetic processing of the formula, a sequence generation unit 12 that generates a CAZAC sequence of a sequence definition formula from the generated exponent, and the generated CAZAC sequence as a reference signal of a data signal or at random
- a transmission unit 13 for transmitting as an access preamble signal.
- the receiver of the radio access system receives a sequence definition expression including a quadratic expression as an index, and performs the recurrence obtained by calculating the quadratic expression according to the periodicity of the sequence definition expression.
- An arithmetic unit 21 that generates an exponent by converting into an arithmetic processing of an equation, a sequence generator 22 that generates a CAZAC sequence of a sequence definition formula from the generated exponent, and a reference signal or a random access preamble signal received and generated
- a receiving unit 23 that detects a data signal or a user signal by a CAZAC sequence.
- the transmission processing procedure of the wireless access system is obtained by converting the arithmetic processing of the quadratic expression of the series definition expression including the quadratic expression into the exponent to the recursive arithmetic processing.
- the reception processing procedure of the radio access system is obtained by converting the arithmetic processing of the quadratic expression of the series definition formula including the quadratic expression into the exponent to the recursive arithmetic processing.
- the transmitter of the radio access system can be realized by the CAZAC sequence generation device 10 and the transmission unit 15 as shown in FIG. 4A.
- the CAZAC sequence generation device 10 includes a CPU (Central Processing Unit) 10a, a ROM (Read Only Memory) 10b, a RAM (Random Access Memory) 10c, an input unit 10d, and an output unit 10e, which are buses. It is connected. A series definition formula including a quadratic formula in the exponent is input from the input unit 10d.
- the CPU 10a uses the RAM 10c as a working memory, converts the quadratic arithmetic processing into the recurrence arithmetic processing, generates the index, and generates the CAZAC sequence of the sequence definition formula.
- the CPU 10a outputs the generated CAZAC sequence from the output unit 10e to the transmission unit 15.
- the transmission unit 15 transmits the CAZAC sequence supplied from the output unit 10 e as a data signal reference signal or a random access preamble signal from the transmission unit 15.
- the ROM 10b converts the quadratic expression of the index of the sequence definition formula into a recurrence formula, generates the index, and generates a CAZAC sequence based on the generated index.
- generating is stored.
- the CPU 10a constituting the computer reads a program from the ROM 10b and is controlled by the read program. The above functions are realized by the CPU 10a executing a program to control each unit.
- the receiver of the wireless access system can be realized by the CAZAC sequence generation device 20 and the receiving unit 25 as shown in FIG. 4B.
- the CAZAC sequence generation device 20 includes a CPU (Central Processing Unit) 20a, a ROM (Read Only Memory) 20b, a RAM (Random Access Memory) 20c, an input unit 20d, and an output unit 20e, which are buses. It is connected. A series defining expression including a quadratic expression in the exponent is input to the input unit 20d.
- the CPU 20a uses the RAM 20c as a working memory, converts the quadratic arithmetic processing into a recurrence arithmetic processing, generates an index, and generates a CAZAC sequence of a series definition formula.
- the CPU 20a outputs the generated CAZAC sequence from the output unit 20e to the receiving unit 25.
- the receiving unit 21 receives a reference signal or a random access preamble signal, and receives a data signal or detects a user signal using the CAZAC sequence output from the output unit 20e.
- the ROM 20b converts the quadratic expression of the exponent of the sequence definition formula into a recurrence formula, generates the exponent, and generates a CAZAC sequence based on the generated exponent.
- generating is stored.
- the CPU 20a constituting the computer reads a program from the ROM 20b and is controlled by the read program.
- the CPU 20a executes the program to control each unit, thereby realizing the above function.
- 5A and 5B show the configurations of the transmitter and receiver of the wireless access system of the second embodiment, respectively.
- the transmitter of the radio access system of the present embodiment inputs a sequence definition expression including a quadratic expression in the exponent, and performs the arithmetic processing of the secondary expression according to the periodicity of the sequence definition expression.
- An arithmetic unit 11 that generates an exponent by converting into the obtained recursive formula arithmetic processing, a sequence generator 12 that generates a CAZAC sequence of a sequence definition formula from the generated exponent, and a reference signal of the data signal for the generated CAZAC sequence Or a transmission unit 13 for transmitting as a random access preamble signal.
- the sequence generation unit 12 includes a trigonometric function value conversion unit 121 and a CAZAC sequence generation unit 122.
- the trigonometric function value conversion unit 121 converts the exponent input from the calculation unit 11 into a trigonometric function value.
- the CAZAC sequence generation unit 122 generates a CAZAC sequence using the trigonometric function value input from the trigonometric function value conversion unit 121.
- the trigonometric function value conversion unit 121 can be configured as a reference unit that holds a reference table that can refer to a corresponding trigonometric function value using the exponent from the calculation unit 11 as an index or an address.
- the receiver of the wireless access system of the present embodiment receives a series definition expression including a quadratic expression as an index, and performs arithmetic processing of the quadratic expression according to the periodicity of the sequence definition expression.
- An arithmetic unit 21 that generates an exponent by converting into a recursive formula calculation process, a sequence generation unit 22 that generates a CAZAC sequence of a sequence definition formula from the generated exponent, and reception of a data signal by the generated CAZAC sequence;
- the receiving unit 23 is configured to detect a user signal.
- the sequence generation unit 22 includes a trigonometric function value conversion unit 221 and a CAZAC sequence generation unit 222.
- the trigonometric function value conversion unit 221 converts the exponent input from the calculation unit 21 into a trigonometric function value.
- the CAZAC sequence generation unit 222 generates a CAZAC sequence using the trigonometric function value input from the trigonometric function value conversion unit 221.
- Expression 1 is a series definition expression (complex number) including a quadratic expression n (n + 1) for n in the exponential mathematical expression.
- the sequence definition formula, the sequence length Nzc of the CAZAC sequence to be generated, and the sequence number u are input to the calculation unit 11.
- the calculation unit 11 performs calculation by initializing the recurrence formula and updating the recurrence formula for the series definition formula, and generates a variable P (n) as an index as the calculation result.
- the variable P (n) is supplied from the calculation unit 11 to the trigonometric function value conversion unit 121.
- the series definition formula of Formula 1 is transformed using the maximum value m of the variable P (n) corresponding to the trigonometric function value for one period (2 ⁇ interval).
- R (0) mu / Nzc and the initial value K0 of R (n).
- FIG. 6A and FIG. 6B show the configurations of the calculation units of the transmitter and the receiver of the second embodiment, respectively.
- the calculation unit 11 of the transmitter includes a storage unit 111 for an initial value K0 and an update value K1, an R (n) update unit 112, and a P (n) update unit 113.
- the arithmetic unit 21 of the receiver includes a storage unit 211 for an initial value K0 and an update value K1, an R (n) update unit 212, and a P (n) update unit 213. Since the function of the calculation unit is the same between the transmitter and the receiver, the function of each unit of the calculation unit of the transmitter will be described here.
- the storage unit 111 stores the input initial value K0 and update value K1, and outputs the stored initial value K0 and update value K1 according to the initialization and update operations of the R (n) update unit 112.
- the trigonometric function value conversion unit 121 calculates a trigonometric function value based on the variable P (n) sequentially generated by updating the recurrence formula in the calculation unit 11 to obtain a trigonometric function value. (Cosine value and sine value) are output.
- the CAZAC sequence generation unit 122 calculates (cosP (n) -jsinP (n)) based on the trigonometric function value output from the trigonometric function value conversion unit 121, and outputs it as a CAZAC code sequence.
- the transmitter 13 of the transmitter transmits the generated CAZAC code sequence as a data signal reference signal or a random access preamble signal.
- the configuration and operation of the calculation unit 21 and the sequence generation unit 22 of the receiver shown in FIG. 5B are the same as those of the transmitter described above.
- the receiving unit 23 receives the reference signal and the data signal or the random access preamble signal from the transmitter, and the received reference signal or the random access preamble signal and the CAZAC generated by the arithmetic unit 21 and the sequence generation unit 22.
- a user of a data signal or random access is detected using the sequence.
- the update value K1 is a value based on the quadratic expression f (n) and is a constant value.
- a procedure for generating a CAZAC sequence according to the embodiment shown in FIGS. 5A, 5B, 6A, and 6B will be described as an example of a transmitter as follows.
- the initial value K0 (update value K1) for CAZAC sequence generation corresponding to the input sequence length Nzc and sequence number u is stored in the storage unit 111 of the calculation unit 11.
- R (n) is initialized in the R (n) updating unit 112 using Equations 2 and 3.
- the CAZAC sequence generation procedure is the same in the receiver.
- the selected sequence length Nzc, sequence number u, etc. are the same as those of the transmitter to be received.
- the quadratic expression included in the exponent of the series definition formula is converted into a recurrence formula, and the phase of the trigonometric functions of the real part and the imaginary part of the series definition formula (complex number) is calculated.
- a variable P (n) corresponding to the information is generated, cosP (n) ⁇ jsinP (n) is calculated from the sine value and cosine value of P (n), and is output as a CAZAC sequence.
- the CAZAC sequence generation unit of the present embodiment is a configuration example of a preamble sequence generation unit or a reference sequence generation unit suitable for application to a 3GPP LTE uplink transmitter and receiver.
- a detailed configuration example of the transmitter of the transmitter and the receiver of the receiver will be described later as an eighth embodiment.
- the trigonometric function value conversion unit is configured to have a reference table such as a cosine value as a reference unit and generate a series by referring to the table. This eliminates the need for an exponential (trigonometric functions sin, cos) circuit, which is very advantageous in terms of circuit scale when the circuit is realized by an FPGA or the like.
- 7A and 7B show configurations of the transmitter and the receiver of the wireless access system of the third embodiment, respectively.
- the transmitter inputs the initial value (update value) of the recurrence formula based on the formula 1 and the sequence length Nzc and the sequence number u as a sequence definition formula, and a quadratic formula is obtained by the recurrence formula.
- a calculation unit 11 that calculates and generates a variable P (n), a sequence generation unit 12, a reference unit (cosine table reference unit) 121 that outputs a cosine value from the generated variable P (n), a sine value and a cosine
- a CAZAC sequence output unit 122 that generates (cosP (n) -jsinP (n)) from a value and uses it as a code sequence, and a transmission unit 13 are configured.
- the receiver inputs the initial value (updated value) of the recurrence formula based on Formula 1 and the sequence length Nzc and the sequence number u, which are the same as those on the transmitter side, as the sequence definition formula.
- a calculation unit 21 that calculates a quadratic expression to generate a variable P (n), a cosine table reference unit 221 that outputs a cosine value from the generated variable P (n), a sine value and a cosine as a sequence generation unit 22
- a CAZAC sequence output unit 222 that generates (cosP (n) ⁇ jsinP (n)) from the value and uses it as a code sequence, and a reception unit 13.
- the receiving unit 23 includes a receiving unit 231 that receives a reference signal of a transmission signal output from a transmitter and a data signal or a preamble signal of random access, and a reference signal or random access.
- multiplying means 232 for multiplying the preamble signal generated by the CAZAC sequence generated by the sequence generating unit 22, and based on the output of the multiplying means 232, each received data signal is equalized and demodulated, or a random access user is detected.
- Output means 233 for multiplying the preamble signal generated by the CAZAC sequence generated by the sequence generating unit 22.
- the reference units 121 and 221 include reference tables (cosine reference tables) that can refer to cosine values by reference indexes (cosine reference index data).
- the number of elements that can be referred to in the cosine reference table itself is used instead of the cosine value in one period (2 ⁇ interval) of the cosine corresponding to the maximum value m of the variable P (n). Can be reduced to 1/4 period ( ⁇ / 2 interval: 0 to ⁇ / 2), thereby reducing the memory size of the reference table itself. If a value from at least one of the positive and negative peak values to 0 ( ⁇ / 2 interval) can be referenced, all trigonometric function values in the 2 ⁇ interval can be generated.
- the reference unit performs control such as adding a sign to the variable P (n) in the 2 ⁇ section by referring to the element of the cosine reference table in the ⁇ / 2 section, and adding all the trigonometric function values in the 2 ⁇ section. Is generated.
- FIG. 8 shows the configuration of the calculation unit of the transmitter of the third embodiment.
- the calculation unit 11 of the transmitter includes an initial value (update value) storage memory (initial value storage memory) 111, an R (n) update unit 112, a P (n) update unit 113, and an integer part cutout. Part 114.
- the numerical value handled in this embodiment is 11Q20 format unsigned 31 bits (the upper 11 bits are integer values and the lower 20 bits are decimal values).
- the integer part cutout unit 114 cuts out and outputs the integer part of P ⁇ from the output of the P (n) update unit 113.
- the reference index data is unsigned 9-bit data
- the trigonometric function value in the cosine reference table is unsigned 16-bit data.
- the initial value K0 is given by the following Expression 7.
- the integer part of K0 is 2048 or more
- the integer part is a value obtained by taking mod 2048.
- FIG. 9 shows a specific configuration and processing method of the CAZAC sequence generation circuit of the calculation unit and sequence generation unit of the third embodiment.
- This CAZAC sequence generation circuit is provided in each of the transmitter and the receiver.
- the configuration and operation of the CAZAC sequence generation circuit will be described using the transmitter as an example.
- the calculation unit 11 includes an R (i) update unit 112, a P (i) update unit 113, and a [30:20] cutout unit 114.
- the sequence generation unit 12 includes a cosine table reference unit 121 and a CAZAC sequence generation unit 122.
- the R (i) update unit 112 includes an adder 1121 and a selector Sel 1122.
- the adder 1121 outputs an addition value of R (i ⁇ 1) and the initial value K0 for CAZAC sequence generation to the input terminal B of the selector Sel1121 with respect to the output R (i) of the selector Sel1122.
- the P (i) update unit 113 includes an adder 1131 and a selector Sel1132.
- the adder 1131 selects the addition value of P ⁇ (i ⁇ 1) and R (i ⁇ 1) with respect to the output P ⁇ (i) of the selector Sel1132 and the output R (i) of the R (i) update unit 112.
- the data is output to the input terminal B of Sel1132.
- the cosine table reference unit 121 based on the output P (i) [10: 0] (unsigned 11 bits), a first calculation unit 1211 for generating a real part of a complex number and a cosine table CosTbl1212 referred to by the calculation output And a second calculation unit 1213 for generating the imaginary part of the complex number and a cosine table CosTbl1214 referred to by the calculation output.
- the sequence generation unit 122 includes a selector Sel1221 and a selector Sel1222 that add a sign to the cosine value read from each of the cosine table CosTbl1212 and the cosine table CosTbl1214 and synthesize a complex real part and imaginary part.
- the cutout unit 114 performs cutout processing from the upper 30 bits to 20 bits. That is, the [30:20] cut-out unit 114 cuts out the upper 30 bits to 20 bits from the unsigned 31 bits of P ⁇ (i), and outputs an unsigned 11 bits of the integer value P (i) [10: 0]. .
- the operations of the cosine table reference unit 121 and the CAZAC sequence generation unit 122 are as follows.
- the first calculation unit 1211 Based on the value of the upper 2 bits of P (i) [10: 0], the first calculation unit 1211 performs data of the table reference index (or reference address) of the unsigned 9-bit cosine table and the code (C) of the cosine. And outputs them.
- the CosTbl 1212 outputs a corresponding unsigned 16-bit cosine value using the unsigned 9-bit from the first arithmetic unit 1211 as a table reference index (address).
- the selector Sel 1221 adds the cosine code (C) from the first arithmetic unit 1211 to the unsigned 16-bit cosine value input from the CosTbl 1212 and outputs it as a complex real part.
- the second calculation unit 1213 calculates the data of the table reference index (address) of the unsigned 9-bit cosine table and the cosine code based on the upper 2 bits of P (i) [10: 0], and outputs them To do.
- the CosTbl 1214 outputs an unsigned 16-bit cosine value corresponding to the index using the unsigned 9-bit from the second arithmetic unit 1213 as a table reference index (address).
- the selector Sel1222 adds the cosine code (C) from the second arithmetic unit 1213 to the unsigned 16-bit cosine value input from the CosTbl 1214, and outputs it as a complex imaginary part.
- the number of table elements of 1/4 of one cosine cycle (2 ⁇ ) is 512
- the cosine value is stored as a cosine table, even if a sine value in the same range is stored as the sine table, the same processing as when the cosine table is used can be realized.
- the CAZAC sequence generation initial value K0 and update value K1 corresponding to the specified sequence length Nzc and sequence number u are passed to the R (n) update unit 112.
- R (n) is initialized by the R (n) updating unit 112 using the equation 8, and P (n) and P ⁇ (n) are respectively changed by the P (n) updating unit 113. It is initialized.
- Equation 9 the CAZAC sequence generation operation shown in FIG. 9 is realized by a circuit that ignores the overflow of an FPGA or the like, and the comparison and subtraction processes are unnecessary. Therefore, in the configuration shown in FIG. 9, instead of the processing according to Equation 9, the recursion equation processing of the following Equation 11 can be performed.
- the receiver has the same configuration as the transmitter.
- a quadratic expression related to exponential shoulder n is converted into an addition / subtraction process by a recurrence expression with respect to a function (exponential) representing a code sequence including a quadratic function in the exponent.
- the cos and sin values are calculated by referring to a table of trigonometric functions holding cosine (cos) values and the like by a solution based on the recurrence formula, and a CAZAC sequence is generated.
- the exponential value is calculated by referring to the cosine table, so that it is no longer necessary to calculate the cos value and the sin value for calculating the exponential value, which is originally necessary, and the amount of calculation can be further reduced accordingly.
- the modulo operation for P ⁇ (n) ⁇ 2048 (m) and R (n) ⁇ 2048 (m) can be realized by using an FPGA or the like that can ignore the overflow, and according to the present embodiment, this point However, the amount of calculation can be greatly reduced.
- Fourth embodiment In the above-described embodiment, a configuration example in which all CAZAC sequences are generated by the same technique has been described. However, it is possible to halve the calculation processing amount by using the characteristics of the CAZAC sequences.
- the CAZAC sequence has the symmetry of the sequence in relation to the first half and the second half of the sequence.
- the symmetry of this CAZAC sequence is as shown in the following Expression 13.
- a CAZAC sequence having a specified sequence length can be generated if the CAZAC sequence generates approximately half of the first half.
- Equation 1 the sequence definition formula shown in Equation 1 can be used as either a time domain sequence or a frequency domain sequence. Therefore, if this sequence is regarded as a frequency domain sequence, a frequency domain CAZAC sequence can be generated. That is, the CAZAC sequence in the frequency domain is also the same as Equation 1, and is represented by the exponential shoulder being a quadratic equation of n and dividing by the sequence length Nzc. Therefore, the CAZAC sequence in the frequency domain can also be obtained by using the same method or circuit as in the above-described embodiment.
- the 3GPP LTE uplink radio access scheme employs a single carrier FDMA scheme.
- the transmitter and the receiver each use a CAZAC sequence such as a Zadoff-Chu sequence as a reference signal or a preamble signal in random access.
- the generation of the reference signal and the preamble signal in the transmitter and receiver of the present embodiment uses the CAZAC sequence generation circuit (method) described in each of the above-described embodiments.
- FIG. 10 shows the configuration of the transmitter (transmitter) of this embodiment.
- the transmitter includes a data signal generation unit 101, a reference signal (or preamble signal) generation unit 102, and a transmission unit.
- the transmission unit includes a DFT (Discrete Fourier Transformation) unit 103, a subcarrier mapping unit 104, an IFFT (Inverse Fast Fourier Transformation) unit 105, and a cyclic prefix addition unit 106.
- the reference signal (or preamble signal) generation unit 102 is set with a sequence definition formula, a sequence length Nzc, and a sequence number u for generating a CAZAC sequence for each user or channel.
- the configuration of FIG. 10 is an example, and the single carrier transmission system transmitter is not necessarily limited to such a configuration.
- FIG. 11 shows the configuration of the receiver (receiver) in the case of random access reception.
- the receiver includes a receiving unit, a multiplying unit, an output unit, and a preamble signal generation unit 204.
- the reception means includes a cyclic prefix removal unit 201, an FFT (Fast Fourier Transformation) unit 203, and a subcarrier demapping unit 204.
- the multiplication means includes a preamble signal multiplication unit 206.
- the output means includes a user signal detection unit 207.
- FIG. 12 shows the configuration of the receiver (receiving unit) in the case of data channel reception.
- the receiver includes a receiving unit, a multiplying unit, an output unit, and a reference signal generation unit 216.
- the receiving means includes a cyclic prefix removing unit 211, FFT units 212 and 213, and subcarrier demapping units 214 and 215.
- the multiplication means includes a reference signal multiplication unit 217.
- the output means includes a channel estimation unit 218, a data equalization unit 219, and a demodulation unit 220.
- the preamble signal generation unit 205 shown in FIG. 11 generates the same CAZAC sequence as that generated by the random access target transmitter, and therefore has the same sequence definition formula, sequence length Nzc, and sequence number u as the transmitter. Is set.
- the reference signal generation unit 216 shown in FIG. 12 generates the same CAZAC sequence as that generated by the transmitter that is a data reception target, and therefore has the same sequence definition formula, sequence length Nzc, and sequence number u as the transmitter.
- Is set. 11 and 12 are examples, and the single carrier transmission system receiver is not necessarily limited to such a configuration.
- the data signal generation unit 101 In the case of data transmission, the data signal generation unit 101 generates transmission data, and the reference signal generation unit 102 transmits a transmission reference signal that is a CAZAC sequence based on a given sequence definition formula, sequence length Nzc, and sequence number u. Is generated.
- the transmission data generated by the data signal generation unit 101 and the transmission reference signal generated by the reference signal generation unit 102 are time-division multiplexed and input to the DFT unit 103.
- the DFT unit 103 performs discrete Fourier transform processing (DFT processing) on the time-division multiplexed signal. Each frequency component after the DFT processing is mapped to a subcarrier assigned to each user by each frequency component in subcarrier mapping section 104. Thereafter, the IFFT unit 105 performs an inverse fast Fourier transform process (IFFT process) on the output signal from the subcarrier mapping unit 104. Finally, the cyclic prefix adding unit 106 adds a cyclic prefix to the IFFT output signal from the IFFT unit 105. A signal obtained by adding a cyclic prefix to the IFFT output signal is transmitted from the cyclic prefix adding unit 106 to the outside.
- DFT processing discrete Fourier transform processing
- the preamble signal generation unit 102 In the case of random access transmission, the preamble signal generation unit 102 generates a preamble signal based on the given sequence definition formula, sequence length Nzc, and sequence number u.
- the preamble signal generated by the preamble signal generation unit 102 is subjected to DFT processing in the DFT unit 103.
- the subsequent processing is the same as in the case of data transmission. That is, each frequency component after the DFT processing is mapped in the subcarrier mapping unit 104 to a subcarrier assigned to each user by each frequency component.
- the IFFT unit 105 performs inverse fast Fourier transform processing (IFFT processing) on the output signal from the subcarrier mapping unit 104.
- IFFT processing inverse fast Fourier transform processing
- the cyclic prefix adding unit 106 adds a cyclic prefix to the IFFT output signal from the IFFT unit 105.
- a signal obtained by adding a cyclic prefix to the IFFT output signal is transmitted from the cyclic prefix adding unit 106 to the outside.
- the transmission side uses the generated CAZAC sequence as a reference signal, the reference signal is time-division multiplexed with a data signal, the time-division multiplexed signal is mapped to a specified subcarrier as a frequency domain signal, and the mapping is performed.
- the signal is a time domain signal, and a cyclic prefix is added to the time domain signal for transmission.
- the transmitting side uses the generated CAZAC sequence as a preamble signal, maps the preamble signal as a frequency domain signal to a specified subcarrier, sets the mapped signal as a time domain signal, and converts it to the time domain signal. Add a click prefix and send.
- a sequence definition formula, a sequence length Nzc, and a sequence number u used by the user are set in the preamble signal generation unit 205.
- the preamble signal generation unit 205 generates a preamble signal composed of a CAZAC sequence.
- the cyclic prefix removal unit 201 removes the cyclic prefix from the received signal.
- the FFT section 203 performs FFT processing on the received signal from which the cyclic prefix has been removed.
- subcarrier demapping is performed in subcarrier demapping section 204 on the received signal subjected to the FFT processing.
- the preamble signal generated by the preamble signal generation unit 205 and the received signal after the subcarrier demapping are multiplied by the preamble signal multiplication unit 206.
- the output (multiplication result) of the preamble signal multiplier 206 shows a high correlation value in the case of the same preamble signal.
- the user signal detection unit 207 detects a user signal based on the output (multiplication result) of the preamble signal multiplication unit 206.
- the receiver removes the cyclic prefix from the received signal, uses the signal from which the cyclic prefix has been removed as a frequency domain signal, and subcarrier demapped the signal in the frequency domain User detection is performed based on a multiplication result of the CAZAC sequence generated as a preamble signal on the receiving side.
- the sequence definition formula, sequence length Nzc, and sequence number u used by the user are set in the reference signal generation unit 216.
- the reference signal generation unit 216 generates a reference signal composed of a CAZAC sequence.
- the cyclic prefix removing unit 211 removes the cyclic prefix from the received signal, and the received signal after the removal is divided into a data signal and a reference signal.
- the FFT unit 212 performs FFT processing on the divided received data signal
- the FFT unit 213 performs FFT processing on the divided received reference signal.
- the data signal subjected to the FFT processing in the FFT unit 212 is subcarrier demapped in the subcarrier demapping unit 214.
- the reference signal subjected to the FFT processing in the FFT unit 213 is subcarrier demapped in the subcarrier demapping unit 215.
- the reference signal that has been subcarrier demapped by the subcarrier demapping unit 215 is multiplied by the reference signal generated by the reference signal generation unit 216 by the reference signal multiplication unit 217.
- the channel estimation unit 218 obtains a channel estimation value from the multiplication result from the reference signal multiplication unit 217.
- the data signal that has been subcarrier demapped by the subcarrier demapping unit 214 is equalized by the data equalization unit 219 using the channel estimation value from the channel estimation unit 218.
- the data signal equalized by the data equalization unit 219 is demodulated by the demodulation unit 220, and the demodulated signal is output from the demodulation unit 220.
- the receiver removes the cyclic prefix from the received signal, divides the received signal from which the cyclic prefix has been removed into the data signal and the reference signal, and divides the divided data signal and reference signal.
- Subcarrier demapping is performed for each signal in the frequency domain, channel estimation is performed based on the multiplication result of the subcarrier demapped reference signal and the CAZAC sequence generated as the reception-side reference signal, and the subcarrier demap is performed based on the channel estimation value.
- the mapped data signal is equalized and demodulated.
- ROM 10b and 20b shown in FIG. 3 store a program having a processing function based on the above-described equations 1 to 14 as a CAZAC sequence generation program, and store trigonometric function reference table data as necessary.
- the CPUs 10a and 20a read the CAZAC sequence generation program, and based on the CAZAC sequence length Nzc and the sequence number u set and input, the initial values of the variables P (n), P ⁇ (n) and R (n) described above Processing such as conversion and update and trigonometric function calculation functions are executed using the work areas of the RAMs 10c and 20c. As a result, a CAZAC sequence is generated.
Abstract
Description
CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求める演算部と、
前記演算部で求めた前記指数を用いてCAZAC系列を生成する系列生成部と、
前記系列生成部で生成した前記CAZAC系列を、データ信号のリファレンス信号として、又はランダムアクセスのプリアンブル信号として送信する送信部と、
を備える。
CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求める演算部と、
前記演算部で求めた前記指数を用いてCAZAC系列を生成する系列生成部と、
前記CAZAC系列と同一の系列よりなる、データ信号のリファレンス信号又はランダムアクセスのプリアンブル信号を受信し、前記リファレンス信号又はランダムアクセスのプリアンブル信号と前記系列生成部で生成した前記CAZAC系列とを用いて、前記データ信号又はランダムアクセスのユーザを検出する受信部と、を備える。
CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求め、
前記漸化式の演算処理にて求めた前記指数を用いてCAZAC系列を生成し、
前記CAZAC系列を、データ信号のリファレンス信号として、又はランダムアクセスのプリアンブル信号として送信することを特徴とする。
CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求め、
前記漸化式の演算処理にて求めた前記指数を用いてCAZAC系列を生成し、
前記CAZAC系列と同一の系列よりなる、データ信号のリファレンス信号又はランダムアクセスのプリアンブル信号を受信し、
前記リファレンス信号又はランダムアクセスのプリアンブル信号と前記CAZAC系列とを用いて、前記データ信号又はランダムアクセスのユーザを検出することを特徴とする。
CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求める処理と、
前記漸化式の演算処理にて求めた前記指数を用いてCAZAC系列を生成する処理と、
前記CAZAC系列を、データ信号のリファレンス信号として、又はランダムアクセスのプリアンブル信号として送信する処理と、をコンピュータに実行させる。
CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求める処理と、
前記漸化式の演算処理にて求めた前記指数を用いてCAZAC系列を生成する処理と、
前記CAZAC系列と同一の系列よりなる、データ信号のリファレンス信号又はランダムアクセスのプリアンブル信号を受信する処理と、
前記リファレンス信号又はランダムアクセスのプリアンブル信号と前記CAZAC系列とを用いて、前記データ信号又はランダムアクセスのユーザを検出する処理と、をコンピュータに実行させる。
11、21 演算部
13、15 送信部
23、25 受信部
100 送信機
101 データ信号生成部
102 リファレンス(又はプリアンブル)信号生成部
103 DFT部
104 サブキャリアマッピング部
105 IFFT部
106 サイクリックプレフィックス付加部
111、211 格納部初期値(更新値)格納メモリ(格納部)
112、212 R(n)更新部
113、213 P(n)更新部
114 整数部切り出し部
121、221 三角関数値変換部
122、222 CAZAC系列生成部
121、221 参照部(コサインテーブル参照部)
121 参照部(コサインテーブル参照部)
122 CAZAC系列生成部
200 受信機
201、211 サイクリックプレフィックス除去部
203、212、213 FFT部
204、214、215 サブキャリアデマッピング部
205 プリアンブル信号生成部
206 プリアンブル信号乗算部
207 ユーザ信号検出部
216 リファレンス信号生成部
217 リファレンス信号乗算部
218 チャンネル推定部
219 データ等化部
220 復調部
231 受信手段
232 乗算手段
233 出力手段
1121、1131 加算器
1211 第1の演算部
1213 第2の演算部
1212、1214 コサインテーブルCosTbl
1221、1222 セレクタ
(第1の実施形態)
最初に発明の適用対象となるシングルキャリア伝送システム等の無線アクセスシステムについて説明する。
(第2の実施形態)
次に、本発明の第2の実施形態の無線アクセスシステムの送信機及び受信機について説明する。
=exp(-j(2π/m)・(2mu/Nzc)n(n+1))
≒exp(-j(2π/m)・[(2mu/Nzc)n(n+1)])
=exp(-j(2π/m)・([(2mu/Nzc)n(n+1)]mod m))
=exp(-j(2π/m)・P(n))
但し、上記式のexp(-j(2π/m)・([(2mu/Nzc)n(n+1)]mod m))において、[ ]は整数の出力(切り出し)を意味する。[ ]内の演算においては、関数exp(-j2π・φ)(φは任意の実数)のφに関する周期性により、mの整数倍は無視できるから、この時点でモジュロ(mod) mをとっている。
P^(n)=((m/2)u/Nzc)n(n+1)
さらに、R(n)を次式で定義する。
但し、R(0)=mu/Nzcであり、R(n)の初期値K0とする。
更に、P(n)の漸化式としては次式が成り立つ。
また、上記式から導出される漸化式R(n+1)=R(n)+mu/Nzcを用いてR(n)の更新を行うことを考えると、1つ前のR(n)に加算される値mu/Nzcは更新値K1(=K0)となる。なお、K0、K1はm以上の場合は、mod mをとる。
次に本発明の第3の実施形態の無線アクセスシステムの送信機及び受信機について説明する。本実施形態のCAZAC系列の生成部は、3GPP LTEの上りリンクの送信機及び受信機に適用する場合に好適なプリアンブル系列生成部又はリファレンス系列生成部の構成例である。なお、送信機の送信部及び受信機の受信部の詳細な構成例は第8の実施形態として後述する。
(第4の実施形態)
上述した実施形態ではCAZAC系列を全て同様の手法で生成する構成例を示したが、CAZAC系列の特性を利用することにより演算処理量を半減させることが可能である。
以上の実施形態においては、時間領域のCAZAC系列の生成を想定して説明したが、式1に示す系列定義式は、時間領域の系列としても、周波数領域の系列としても用いることができるものであるから、この系列を周波数領域の系列と見なせば、周波数領域のCAZAC系列を生成可能である。すなわち、周波数領域におけるCAZAC系列も、式1と同様であり、exponentialの肩がnの2次式で且つ系列長Nzcで除算する形で表される。したがって、周波数領域のCAZAC系列も、前述の実施形態と同様の方法又は回路を用いることにより求めることが可能である。
以上の実施形態では、CAZAC系列生成用の初期値K0等を初期値格納メモリに保持する構成例を述べたが、CAZAC系列生成用の初期値K0等は必ずしもメモリに保持する必要はない。CAZAC系列生成用の初期値K0等は、外部から供給してもよい。例えば、CAZAC生成回路の外部で、DSP(Digital Signal Processor)などが初期値(更新値)K0(K1)を計算し、その計算値をCAZAC生成回路のR(n)更新部に入力してもよい。これ以外の処理は、前述の実施形態と同様である。このような構成においても、前述の実施形態と全く同じように系列生成が可能である。この場合、演算部等で使用するメモリ等が不要となる。
以上の実施形態では、漸化式で求めたP(n)に基づくexponential演算をなくすために、三角関数値変換部にコサイン(cos)等を保持した参照テーブルの使用例を説明したが、本発明はかかる参照テーブルの使用を必須とするものではない。つまり、参照テーブルを使用する代わりに、例えば、高速な三角関数(cos、sin)演算回路等が使用可能である。このように三角関数演算回路を使用する形態においても、P(n)の生成のための構成は前述の実施形態と全く同様の構成として、系列符号が生成可能である。
次に、本発明の第8の実施形態である無線アクセスシステムの送信機の送信部及び受信機の受信部のより詳細な構成及び動作について説明する。本実施形態では、シングルキャリア伝送システムへの適用例として、移動局等の送信機及び基地局等の受信機の構成例を説明する。
(他の実施形態)
以上の実施形態で述べた漸化式によるCAZAC系列生成(回路、方法)に関する処理機能はプログラムにより実現可能である。例えば、図3に示すROM10b、20bに前述の式1ないし式14に基づく処理機能を備えるプログラムをCAZAC系列生成プログラムとして格納し、また、必要に応じて三角関数の参照テーブルのデータを格納する。CPU10a、20aが、CAZAC系列生成プログラムを読み込んで、設定入力されたCAZAC系列長Nzc及び系列番号u等に基づいて、前述の変数P(n)、P^(n)及びR(n)の初期化、更新等の処理及び三角関数の演算機能をRAM10c、20cの作業領域を利用して実行する。これにより、CAZAC系列を生成する。
Claims (25)
- CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求める演算部と、
前記演算部で求めた前記指数を用いてCAZAC系列を生成する系列生成部と、
前記系列生成部で生成した前記CAZAC系列を、データ信号のリファレンス信号として、又はランダムアクセスのプリアンブル信号として送信する送信部と、
を備える無線アクセスシステムの送信機。 - 前記系列生成部は、前記演算部で求められる前記指数と三角関数値の対応関係を示す参照テーブルを保持する参照部を備えており、前記参照テーブルを参照することにより前記指数を三角関数値に変換し、該三角関数値を用いて前記CAZAC系列を生成する、請求の範囲第1項に記載の送信機。
- 前記参照テーブルは、少なくとも正又は負の最大値からゼロまでの三角関数値が参照可能なテーブル要素を備え、
前記参照部は前記参照テーブルを参照して2π範囲の三角関数値を生成する、請求の範囲第2項に記載の送信機。 - 前記2次式はf(n)=n(n+1)、更新値K1はK1=K0である、請求の範囲第4項又は第5項に記載の送信機。
- xu(Nzc-t-1)、(t<Nzc-1)の系列は、前記CAZAC系列の対称性を利用して、前記初期化及び更新の処理により生成したxu(t)の系列に基づき、該処理に代えてxu(Nzc-t-1)=xu(t)として生成される、請求の範囲第4項ないし第6項の何れかに記載の送信機。
- CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求める演算部と、
前記演算部で求めた前記指数を用いてCAZAC系列を生成する系列生成部と、
前記CAZAC系列と同一の系列よりなる、データ信号のリファレンス信号又はランダムアクセスのプリアンブル信号を受信し、前記リファレンス信号又はランダムアクセスのプリアンブル信号と前記系列生成部で生成した前記CAZAC系列とを用いて、前記データ信号又はランダムアクセスのユーザを検出する受信部と、を備える無線アクセスシステムの受信機。 - 前記系列生成部は、前記演算部で求められる前記指数と三角関数値の対応関係を示す参照テーブルを保持する参照部を備えており、前記参照テーブルを参照することにより前記指数を三角関数値に変換し、該三角関数値を用いて前記CAZAC系列を生成する、請求の範囲第8項に記載の受信機。
- 前記参照テーブルは、少なくとも正又は負の最大値からゼロまでの三角関数値が参照可能なテーブル要素を備え、
前記参照部は前記参照テーブルを参照して2π範囲の三角関数値を生成する、請求の範囲第9項に記載の受信機。 - 前記受信部は、
前記リファレンス信号又はランダムアクセスのプリアンブル信号を受信する受信手段と、
前記受信手段にて受信された前記リファレンス信号又はランダムアクセスのプリアンブル信号と前記系列生成部で生成した前記CAZAC系列とを乗算する乗算手段と、
前記乗算手段の出力に基づいて、前記データ信号を等化して復調する又はランダムアクセスのユーザを検出する出力手段と、を備える、請求の範囲第8項ないし第10項の何れかに記載の受信機。 - 前記受信手段は、
受信信号からサイクリックプレフィックスを除去し、該除去後の受信信号をデータ信号とリファレンス信号に分割するサイクリックプレフィックス除去部、分割したデータ信号とリファレンス信号をそれぞれ周波数領域の信号とするFFT(Fast Fourier Transformation)部及び前記FFT部の出力をそれぞれサブキャリアデマッピングするサブキャリアデマッピング部を有する、
又は、受信信号からサイクリックプレフィックスを除去するサイクリックプレフィックス除去部、前記サイクリックプレフィックス除去部の出力を周波数領域の信号とするFFT部及び前記FFT部の出力をサブキャリアデマッピングするサブキャリアデマッピング部を有する、請求の範囲第8項ないし第11項の何れかに記載の受信機。 - 前記出力手段は、
前記乗算手段の出力からチャンネル推定値を出力するチャンネル推定部、前記チャンネル推定部の出力により前記データ信号を等化するデータ等化部及び前記データ等化部の出力を復調する復調部を有する、
又は、前記乗算手段の出力からユーザを検出するユーザ信号検出部を有する、請求の範囲第8項ないし第12項の何れかに記載の受信機。 - 前記2次式はf(n)=n(n+1)、更新値K1はK1=K0である、請求の範囲第14項又は第15項に記載の受信機。
- xu(Nzc-t-1)、(t<Nzc-1)の系列は、前記CAZAC系列の対称性を利用して、前記初期化及び更新の処理により生成したxu(t)の系列に基づき、該処理に代えてxu(Nzc-t-1)=xu(t)として生成する、請求の範囲第14項ないし第16項の何れかに記載の受信機。
- CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求め、
前記漸化式の演算処理にて求めた前記指数を用いてCAZAC系列を生成し、
前記CAZAC系列を、データ信号のリファレンス信号として、又はランダムアクセスのプリアンブル信号として送信する、無線アクセスシステムの送信方法。 - 前記漸化式の演算処理にて求められる前記指数と三角関数値の対応関係を示す参照テーブルを参照して前記指数を三角関数値に変換し、該三角関数値を用いて前記CAZAC系列を生成する、請求の範囲第18項に記載の送信方法。
- CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求め、
前記漸化式の演算処理にて求めた前記指数を用いてCAZAC系列を生成し、
前記CAZAC系列と同一の系列よりなる、データ信号のリファレンス信号又はランダムアクセスのプリアンブル信号を受信し、
前記リファレンス信号又はランダムアクセスのプリアンブル信号と前記CAZAC系列とを用いて、前記データ信号又はランダムアクセスのユーザを検出する、無線アクセスシステムの受信方法。 - 前記漸化式の演算処理にて求められる前記指数と三角関数値の対応関係を示す参照テーブルを参照して前記指数を三角関数値に変換し、該三角関数値を用いて前記CAZAC系列を生成する、請求の範囲第20項に記載の受信方法。
- CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求める処理と、
前記漸化式の演算処理にて求めた前記指数を用いてCAZAC系列を生成する処理と、
前記CAZAC系列を、データ信号のリファレンス信号として、又はランダムアクセスのプリアンブル信号として送信する処理と、をコンピュータに実行させるプログラム。 - 前記CAZAC系列を生成する処理は、前記漸化式の演算処理にて求められる前記指数と三角関数値の対応関係を示す参照テーブルを参照して前記指数を三角関数値に変換し、該三角関数値を用いて前記CAZAC系列を生成する処理を含む、請求の範囲第22項に記載のプログラム。
- CAZAC系列定義式の指数に含まれる2次式の演算処理を、前記CAZAC系列定義式の周期性に従って得られる漸化式の演算処理に変換して前記指数を求める処理と、
前記漸化式の演算処理にて求めた前記指数を用いてCAZAC系列を生成する処理と、
前記CAZAC系列と同一の系列よりなる、データ信号のリファレンス信号又はランダムアクセスのプリアンブル信号を受信する処理と、
前記リファレンス信号又はランダムアクセスのプリアンブル信号と前記CAZAC系列とを用いて、前記データ信号又はランダムアクセスのユーザを検出する処理と、をコンピュータに実行させるプログラム。 - CAZAC系列を生成する処理は、前記漸化式の演算処理にて求められる前記指数と三角関数値の対応関係を示す参照テーブルを参照して前記指数を三角関数値に変換し、該三角関数値を用いて前記CAZAC系列を生成する処理を含む、請求の範囲第24項に記載のプログラム。
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