1. Field of the Invention
The present invention relates to a correlation detection apparatus for detecting a correlation between received data and code for synchronous capture/tracking in a CDMA communication system or the like, and a Fourier transform apparatus appropriate to the correlation detection apparatus.
2. Description of the Related Art
For synchronous capture/tracking of communication between a base station and a mobile station in a W-CDMA communication system, inverse-spread processing (correlation detection processing) for obtaining correlation between a spread received signal and code is required, and for this processing a matched filter is employed.
In a case where a preamble (RACH preamble) of a random access channel (RACH) is detected by using a matched filter, as the number of taps is large due to delay of signal transmission between the base station and the mobile station, the circuit scale of the matched filter is also very large.
Accordingly, it is difficult to perform the detection of the RACH preamble only by hardware processing.
On the other hand, the RACH preamble may be detected by software inverse-spread processing using a DSP.
In the software inverse-spread processing, development costs of the base station and mobile station can be reduced and high-level functions can be attained.
However, as a very large amount of operations is required for detection of RACH preamble by using the DSP, conventionally the software inverse-spread processing has not been realized without difficulty.
The present invention has been made in consideration of the above situation, and has its object to provide a correlation detection apparatus which realizes CDMA software inverse-spread processing and a Fourier transform apparatus used in the correlation detection apparatus.
[Correlation Detection Apparatus]
According to the present invention, the foregoing object is attained by providing a correlation detection apparatus for detecting a first signal in a time domain including predetermined code, and a correlation between the first signal and the predetermined code, comprising:
Preferably, the transform means transforms the first signal into the frequency domain by performing Fourier transform processing on the first signal in the time domain, the correlation-signal generation means generates the correlation signal by multiplying the predetermined code transformed to the frequency domain by the first signal transformed to the frequency domain, and the correlation detection means detects the correlation between the first signal and the predetermined code by performing inverse Fourier transformation on the generated correlation signal.
[Fourier Transform Apparatus]
Further, the Fourier transform apparatus according to the present invention is a Fourier transform apparatus for performing Fourier transform by performing an N-stage butterfly operation on MN time-series data by using MN (M is a radix in Fourier transform; N=1, 2, . . . ) continuous storage regions, comprising: data storage means for storing (I; I=0,1, . . . , MN−1)th data into (MN−1 ([I/M°]modM)+MN−2([I/M1]modM)+ . . . +M°([I/MN−1]modM); [X] is an integer not exceeding X; YmodZ is a residue system of integer Y for integer Z)th storage region; first butterfly-operation processing means for repeating processing of storing respective (MJ+H)th M pieces of data, obtained by performing a (J)th butterfly operation on data stored in (MJ+H; J=0, 1, . . . , MN−1−1, H=0 to M−1)th M storage regions, into (MN−1H+MN−2 ([J/M1]modM)+ . . . +M°([J/MN−1]modM))th M storage regions, (N−1) times; and second butterfly-operation processing means for performing processing of storing respective (MJ+H)th M pieces of data, obtained by performing a butterfly operation on the data obtained as a result of the (N−1)th butterfly operation and stored in the (MJ+H)th M storage regions, into (MN−1([J/M1]modM)+ . . . +sM°([J/MN−1]modM)+H)th M storage regions.
[Inverse Fourier Transform Apparatus]
Further, the inverse Fourier transform apparatus according to the present invention is an inverse Fourier transform apparatus for performing inverse Fourier transform by performing an N-stage butterfly operation on MN time-series data by using MN (M is a radix in inverse Fourier transform; N=1, 2, . . . ) continuous storage regions, comprising: third butterfly-operation processing means for repeating processing of storing respective (MJ+H)th M pieces of data, obtained by performing a (J)th butterfly operation on data stored in (MJ+H; J=0, 1, . . . , MN−1−1, H=0, 1, . . . , M−1)th M storage regions, into (MN−1H+MN−2([J/M1]modM) + . . . +Mo([J/MN−1]modM))th M storage regions, (N) times.
Prior to explanation of an embodiment of the present invention, the background against which the present invention has been made will be described for deeper understanding of the invention.
As described above, in the W-CDMA mobile communication system 1 as shown in
In the mobile communication system 1, since the radius of cells covered by respective base stations 2-1 to 2-3 connected via a network 10 is not necessarily fixed, a spread signal transmitted between the base stations 2-1 to 2-3 and a mobile station 12 is delayed differently in correspondence with respective radii of the cells.
In a case where the number of taps is increased to absorb such delay difference, the circuit scale of the matched filter becomes very large.
For example, in the base stations 2-1 to 2-3 where a spread gain greater than that in the mobile station 12 is required, to obtain 1024 chips spread gain by using the matched filter, as a signal over-sampled 4 times per chip is processed, the number of taps is 4096.
Further, for example, in a case where the cell radius is 50 km, a round-trip transmission distance between the base station 2 and the mobile station 12 is a maximum of 100 km, and the signal is delayed by 2560 chips (about 666 μs) in the 100-km transmission.
If the delayed W-CDMA signal is inverse spread by using the matched filter, the number of taps is 14336 (=(2560+1024)×4(4 is over-sampling)).
In this manner, currently it is very difficult to realize a hardware matched filter including a large number of taps.
On the other hand, for example, a software matched filter by using a DSP or the like is difficult due to the very large amount of operations.
The present invention enables software inverse-spread processing (correlation detection processing) by using a DSP or the like, and enables a “soft radio” base station 2, by reducing the operation amount by performing fast Fourier transform (FFT) and inverse fast Fourier transform (IFFT) in place of software matched filter operation.
Further, the present invention reduces time necessary for the inverse-spread processing, and easily realizes software inverse-spread processing by faster FFT/IFFT and optimization of FFT/IFFT size in correspondence with cell radius.
[Inverse-Spread Processing Using FFT]
First, the inverse-spread processing by FFT/IFFT will be described.
The inverse-spread processing by using a matched filter is represented by the following expression 1.
Note that in expression 1, n means a chip or sample; m, a timing difference between received data and code; ym, the result of inverse spread; Xn, received data; and γn+m, the number of conjugation of the spread code.
ym=Σ χnγn+m (Expression 1)
Σ: total sum when n=0 to N−1 holds
On the other hand, assuming that Yk, Xk and Vk are values obtained by FFT-processing of the values Yn, χn and γn, the convolution operation in the FFT-processing is a simple multiplication as shown in the following expression 2.
Note that expression 2 is generalized from expression 1. In the expression 2, n and k do not mean any particular value.
Yk=Xk×Vk (Expression 2)
The value Yk in the expression 2 is IFFT-processed, and thereby the value ym in the expression 1 can be obtained.
If a received signal is inverse-spread processed and electrified, and plotted on a time axis, a delay profile is obtained.
Note that the above-described “electrification” means obtaining I and Q signals, having phases 90° different from each other, from a signal detected as a voltage, and obtaining I2+Q2 at the level of electricity.
In the W-CDMA system, RAKE synthesis is performed for efficiently utilizing a delayed signal wave, and for the RAKE synthesizing the delay profile obtained from a preamble (e.g., random access channel (RACH) preamble (RACH preamble)) is employed.
As described above, to obtain the delay profile by inverse-spread processing the RACH preamble, the result of FFT obtained by FFT-processing the RACH received signal is multiplied by the result of FFT obtained by FFT-processing the RACH preamble code, and the result of multiplication is IFFT-processed.
In this manner, the amount of operations in the inverse-spread processing can be reduced to between a several-tenth part and a several-hundredth part (the value differs in accordance with the number of taps or the like) by replacing the matched filter with the FFT/IFFT, and software inverse-spread processing using a DSP can thus be realized.
In the following description, the detection of RACH preamble in a W-CDMA system will be given as a specific example.
[Faster FFT/IFFT]
As described above, software inverse-spread processing can be realized by using the FFT/IFFT-processing.
However, if faster FFT/IFFT-processing can be realized, necessary performance of the hardware can be reduced, and the system configuration can be flexible.
In the following example, an approach for achieving faster FFT/IFFT in the present invention will be described.
The radix of FFT-processing of the present invention is not limited to 4 and the number of stages is not limited to 3. However, for simplification and concretization of illustration and explanation, the radix is 4 and the number of stages of butterfly operation is 3 in the FFT/IFFT-processing in the following description.
As shown in
A 3-stage butterfly operation is performed on the rearranged input data, and as shown in
However, in general FFT-processing, as the transition of data arrangement is complicated, data transfer between a register of a DSP and a memory must be performed in 1-word units.
As shown in
As a characteristic feature of processing by the DSP, in comparison with data transfer between the memory and the register of the DSP in 1-word units, the entire processing time can be greatly shortened by performing data transfer in 4-word units as the unit of butterfly operation.
In the FFT-processing having the radix 4, a 3-stage butterfly operation is performed on 64 data stored in 64 storage regions.
The 64 storage regions are used by 4 regions each including 16 regions, and each of 4 results of the first and second stages of butterfly operation is stored every 4th storage region in each of the 4 regions.
Further, in the result of the final (third) stage in this example) butterfly operation, the data is rearranged except for the LSB.
That is, in the result of the final (third) stage butterfly operation, bits are arranged without the least significant bit.
In this manner, as the result of the butterfly operation is rearranged, bit reverse processing in the FFT/IFFT-processing can be omitted, and further, in the butterfly operation, as data transfer between the memory and the DSP is performed not in 1-word units but in 4-word units, the time necessary for the FFT/IFFT-processing can be greatly reduced (to a part of the initial time).
Note that in a case where the faster FFT/IFFT-processing according to the present invention is applied to FFT-processing with a radix of 2, the storage region is divided into 2 regions, and each of the results of 2 butterfly operations is stored in every second storage region in each of the 2 storage regions.
Further, in a case where the faster FFT/IFFT-processing according to the present invention is applied to FFT-processing with a radix of 8, the storage region is divided into 8 regions, and each of results of 8 butterfly operations is stored in every eighth storage region in each of the 8 storage regions.
More particularly, prior to the 3-stage butterfly operation in the FFT-processing with a radix of 4, each of 64 input data pieces D(0) to D(63) as the subjects of processing is stored in 64 storage regions M(0) to M(63) in the order shown in the following expression 3.
D(I)→R(MN−1([I/M°]modM)+MN−2([I/M1]modM)+ . . . +M°([I/MN−1]modM) (Expression 3)
Note that N=1, 2, 3 . . . , and in the case of FFT with the radix of 4, M=4, I=0 to MN−1 hold. [X] is an integer not exceeding X, YmodZ, a residue system of integer Y for integer Z (the same shall apply hereinafter).
Further, the respectively 4 results of the first and second stages of butterfly operation in the FFT-processing with the radix of 4, R(0) to R(3), . . . , R(60) to R(63), are stored in the 64 memory regions 0 to 63 in the order as shown in the following expression 4.
B(MJ+H)→R(MN−1H+HN−2([J/M1]modM)+ . . . +M°([J/MN−1]modM)) (Expression 4)
Note that in the case of FFT with the radix of 4, J=0 to MN−1−1 and H=0 to 3 hold (the same shall apply hereinafter).
Further, the respectively 4 results of the final (third) stage butterfly operation in the FFT-processing with the radix of 4, R(0) to R(3), . . . , R(60) to R(63), are stored in the 64 memory regions R(0) to R(63) in the order as shown in the following expression 5.
B(MJ+H)→R(MN−1([J/M1]modM)+ . . . +M([J/MN−1]modM)+H) (Expression 5)
Further, prior to the 3-stage butterfly operation in the IFFT-processing with the radix of 4, respective 64 input data pieces D(0) to D(63) as the subjects of processing are rearranged in the order as shown in the following expression 6, and stored in the 64 storage regions R(0) to R(63).
Note that in the embodiment to be described below, as the order of arrangement of the result of FFT is corresponding to that of data to be subjected to the IFFT-processing, the rearrangement is not performed.
That is, in the case of processing as shown in the above expression 5, processing as shown in the following expression 6 is omitted.
D(I)→R(MN−1([I/M°]modM)+MN−2([I/M1]modM)+ . . . +M°([I/MN−1]modM)) (Expression 6)
Further, respectively 4 results of the first to final (third) stage butterfly operation in the IFFT-processing with the radix of 4, B(0) to B(3), . . . , B(60) to B(63), are stored in the 64 memory regions 0 to 63 in the order as shown in the following expression 7.
D(NJ+H)→R(MN−1H+MN−2([J/M1]modM)+ . . . M°([J/MN−1]modM)) (Expression 7)
[Embodiment]
Hereinbelow, inverse-spread processing using FFT/IFFT and faster FFT/IFFT will be described.
As shown in
The reception unit 20 has a reception circuit 200, an analog/digital converter (A/D) 202, a delay profile detection unit 22, and a data decoding unit 250.
Note that the delay profile detection 22 (
Further, the reception circuit 200 (
The delay profile detection unit 22 has a first fast Fourier transform (FFT) unit 3-1, an inverse fast Fourier transform (IFFT) unit 4, a multiplication unit 220, and a code generation unit 24.
The code generation unit 24 may be realized by simply storing the result of FFT obtained by FFT-processing of RACH preamble code into the ROM 264 or the RAM 266. However, in the following description, the code generation unit 24 includes an RACH code storage unit 240 and a second FFT unit 3-2.
The respective constituent elements of the delay profile detection unit 22 are generated as, e.g., respectively independent software modules. They are appropriately added or deleted in accordance with necessity, and started at an arbitrary timing by an OS (not shown) or the like.
[Transmission Unit 210]
The transmission unit 210 (
[Reception Circuit 200]
The reception circuit 200 (
[A/D 202]
The A/D 202 converts the analog baseband signal input from the reception circuit 200 into digital received data, and outputs the data to the FFT unit 3-1 of the delay profile detection unit 22 and the data decoding unit 250.
[Data Decoding Unit 250]
The data decoding unit 250 decodes the received data by using a delay profile input from the delay profile detection unit 22, and outputs the data as decoded data to the network 10 (
[Delay Profile Detection Unit 22]
The delay profile detection unit 22 performs inverse-spread processing on an RACH preamble included in the received data input from the A/D 202 by using the FFT/IFFT-processing as described in
Hereinbelow, the respective constituent elements of the delay profile detection unit 22 will be described.
[FFT Unit 3-1]
The first FFT unit 3-1 sequentially performs a 3-stage butterfly operation with a radix of 4 on 64-point received data input from the A/D 202 thereby performs the FFT-processing, and outputs an FFT result A, obtained as the result of the FFT-processing, to the multiplication unit 220.
Hereinbelow, the processing by the FFT unit 3-1 at each stage will be described in detail.
[Storage of Received Data]
In the delay profile detection unit 22, the FFT unit 3-1 stores the 64-point received data D (I; I=0 to 63) input from the A/D 202 into 64 continuous storage regions R(I′; I′=0 to 63) of the RAM 266 (
That is, the FFT unit 3-1 stores the respective received data D(0) to D(63) into the storage regions R(0), R(16), R(32), R(48), . . . R(63), as shown in the left end column #1 in
By this received data storage processing, the order of the received data D(I) is “twisted” as shown in the left end of
Hereinbelow, for the sake of concretization and clarification of explanation, an example in which each of data processed by the FFT unit 3-1 is 1 word for the DSP 262 will be described.
[First-Stage Butterfly Operation]
As shown between the left end column #1 and the second column #2 in
Further, as shown between the left end column #1 to the second column #2 in
Further, the FFT unit 3-1 stores the 16×4 operation results [B(0) to B(3)], [B(4) to B(7)], . . . , [B(60) to B(63)] into 64 storage regions R′(0) to R′(63) of the RAM 266 in the order described above with reference to expression 4.
That is, as shown between the left end column #1 and the second column #2 in
[Second-Stage Butterfly Operation]
As shown between the second column #2 and the third column #3 in
Further, as shown between the second column #2 and the third column #3 in
Further, the FFT unit 3-1 stores the 16×4 operation results [B′(0) to B′(3)], [B′(4) to B′(7)], . . . , [B′(60) to B′(63)] into 64 storage regions R″(0) to R″(63) of the RAM 266 in the order described above with reference to expression 4.
That is, as shown between the second column #2 and the third column #3 in
[Final (Third)-Stage Butterfly Operation]
As shown between the third column #3 and the fourth column #4 in
Further, as shown between the third column #3 and the fourth column #4 in
Further, the FFT unit 3-1 stores the 16×4 operation results [B″(0) to B″(3)], [B″(4) to B″(7)], . . . , [B″(60) to B″(63)] into the 64 storage regions R″′(0) to R″′(63) of the RAM 266 in the order described above with reference to expression 5.
That is, as shown between the third column #3 and the fourth column #4 in
In this manner, only the results of the final (third)-stage butterfly operation are stored into the RAM 266 in an order different from that of the first stage and the second stage since the order of arrangement of FFT results outputted from the FFT unit 3-1 are applied to the order of arrangement as input data to the IFFT unit 4.
Further, the first to third (final) stages of butterfly operation processing (
As shown in
At step S102, the DSP 262 (
At step S104, the DSP 262 performs the butterfly operation as shown in
At step S106, the DSP 262 transfers the results of the butterfly operation from the register to the storage regions of the RAM 266 in 4-word units as shown between the left end column #1 and the second column #2 in
The 4-word-unit transfer is realized by simultaneously performing plural butterfly operations or previously stocking the operation results in the register of the DSP 262.
At step S108, the DSP 262 determines whether or not the processing at steps S102 to S106 on all the points of the received data has been completed. If the processing has been completed, the process proceeds to the next stage butterfly operation processing, otherwise it returns to step S102.
At step S100-2, the DSP 262 performs the second stage butterfly operation as in the case of the processing at step S100-1.
At step S100-3, the DSP 262 performs the final (third) stage butterfly operation.
At step S112, the DSP 262 (
At step S114, the DSP 262 performs the butterfly operation as shown in
At step S116, as shown between the third column #3 and the fourth column #4 in
At step S118, the DSP 262 determines whether or not the processing on all the points of received data at steps S102 to S106 has been completed, as in the case of the processing at step S108. If the processing has been completed, the process ends, otherwise it returns to step S112.
[Code Generation Unit 24]
In the code generation unit 24, the RACH code storage unit 240 holds the RACH preamble code, and outputs it to the FFT 3-2.
The FFT 3-2 performs the FFT-processing on the RACH preamble code input from the RACH code storage unit 240, and outputs the processed code as the FFT result B to the multiplication unit 220.
[Multiplication Unit 220]
The multiplication unit 220 multiplies the FFT result A input from the FFT unit 3-1 by the FFT result B input from the code generation unit 24, and outputs the result of multiplication to the IFFT unit 4.
That is, the multiplication unit 220 realizes the above-described convolution as described above with reference to expression 2 by multiplying the FFT result A by the FFT result B.
[IFFT Unit 4]
The first IFFT unit 4 sequentially performs a 3-stage butterfly operation with a radix of 4 on the 64-point multiplication result input from the multiplication unit 220, thereby performs the IFFT-processing, and outputs a delay profile obtained as the result of the IFFT-processing to the data decoding unit 250.
Hereinbelow, the processing by the IFFT 4 at each stage will be described in detail.
The order of arrangement of the FFT result A and the FFT result B(the fourth (right end) column #4 in
Accordingly, in the delay profile detection unit 22, the data rearrangement processing in the IFFT unit 4 as described above with reference to expression 6 is substituted with processing by the FFT units 3-1 and 3-2 at step S116 (
Accordingly, in the IFFT unit 4, the data rearrangement as in the processing by the FFT units 3-1 and 3-2 is not required.
[First-Stage Butterfly Operation]
As shown between the left end column #1 and the second column #2 in
Further, as shown between the left end column #1 and the second column #2 in
Further, the IFFT unit 4 stores the 16×4 operation results [B(0) to B(3)], [B(4) to B(7)], . . . , [B(60) to B(63)] into 64 storage regions R′(0) to R′(63) of the RAM 266 in the order described above with reference to expression 7.
That is, as shown between the left end column #1 and the second column #2 in
[Second Stage Butterfly Operation]
As shown between the second column #2 and the third column #3 in
Further, as shown between the second column #2 and the third column #3 in
Further, the IFFT unit 4 stores the 16×4 operation results [B′(0) to B′(3)], [B′(4) to B′(7)], . . . , [B′(60) to B′(63)] into 64 storage regions R″(0) to R″(63) of the RAM 266 in the order described above with reference to expression 7.
That is, as shown between the second column #2 and the third column #3 in
[Final (Third) Stage Butterfly Operation]
As shown between the third column #3 and the fourth column #4 in
Further, as shown between the third column #3 and the fourth column #4 in
Further, the IFFT unit 4 stores the 16×4 operation results [B″(0) to B″(3)], [B″(4) to B″(7)], . . . , [B″(60) to B″(63)] into 64 storage regions R″′(0) to R″′(63) of the RAM 266 in the order described above with reference to expression 7.
That is, as shown between the third column #3 and the fourth column #4 in
Unlike the processing by the FFT units 3-1 and 3-2, in the processing by the IFFT unit 4, the results of the final (third) stage butterfly operation are rearranged as in the case of the first and second stage operations, since a delay profile obtained as the result of IFFT becomes in proper order as shown in the fourth column #4 (right end) in
Further, the first to third (final) stage butterfly operation processing (
As shown in
At step S122, as in the case of the processing at step S102, the DSP 262 (
At step S124, as in the case of the processing at step S104, the DSP 262 performs the butterfly operation as shown in
At step S126, as in the case of the processing at step S106, the DSP 262 transfers the results of the butterfly operation from the register to the storage regions of the RAM 266 in 4-word units as shown between the left end column #1 and the second column #2 in
The 4-word unit transfer is realized in the same manner as that in the processing at step S106.
At step S128, as in the case of the processing at step S108, the DSP 262 determines whether or not the processing at steps S122 to S126 on all the points of the received data has been completed. If the processing has been completed, the process proceeds to the next stage butterfly operation processing. Otherwise it returns to step S122.
At step S120-2, as in the case of the processing at step S120-1, the DSP 262 performs the second stage butterfly operation processing.
At step S120-3, as in the case of the processing at step S120-1, the DSP 262 performs the third (final) stage butterfly operation processing.
[Entire Operation]
Hereinbelow, the entire operation of the reception unit 20 of the base station 2 (
The reception circuit 200 of the reception unit 20 (
In the delay profile detection unit 22, the FFT unit 3-1 FFT-processes the received data, and outputs the data as the FFT result A to the multiplication unit 220.
In the code generation unit 24, the RACH code storage unit 240 outputs the stored RACH preamble code to the FFT unit 3-2. The FFT unit 3-2 FFT-processes the RACH preamble code, and outputs the code as the FFT result B to the multiplication unit 220.
The multiplication unit 220 multiplies the FFT result A input from the FFT unit 3-1 by the FFT result B input from the FFT unit 3-2 of the code generation unit 24, and outputs the result of multiplication to the IFFT unit 4.
The IFFT unit 4 IFFT-processes the result of multiplication input from the multiplication unit 220, and outputs the data as the delay profile to the data decoding unit 250.
The data decoding unit 250 decodes the received data input from the A/D 202 by using the delay profile input from the IFFT unit 4, and outputs the data as decoded data to the network 10 (
As described above, the present invention provides the following:
The correlation signal generation means multiplies the result of the FFT operation of the CDMA signal by the result of the FFT operation of the preamble obtained by the Fourier transform processing on the preamble, thereby generates the correlation signal.
The correlation detection means performs inverse Fourier transform on the generated correlation signal and generates the delay profile, thereby detects the correlation between the CDMA signal and the preamble.
The data storage means stores the (I; I=0 to 63)th data into the (16(Imod4)+4([I/4]mod4)+([I/16]mod4))th storage regions.
The first butterfly-operation processing means repeats the processing of storing the respective (4J+H)th four pieces of data, obtained by the (J)th butterfly operation on the data stored in the four (4J+H; J=0 to 15, H=0 to 3)th storage regions, into the four (16H+4([J/4]mod4)+([J/16]mod4))th storage regions, twice.
The second butterfly-operation processing means stores the respective (4J+H)th four pieces of data, obtained by the butterfly operation on the data stored in the four (4J+H)th storage regions as the result of the two butterfly operations, into the four (16([J/4]mod4)+4([J/16]mod4)+H)th storage regions.
(6) Further, the present invention provides an inverse Fourier transform apparatus for performing inverse Fourier transform by performing an N-stage butterfly operation on MN pieces of time-series data by using MN (M is a radix in inverse Fourier transform; N=1, 2, . . . ) continuous storage regions, comprising: third butterfly-operation processing means for repeating processing of storing respective (MJ+H)th M pieces of data, obtained by performing a (J)th butterfly operation on data stored in (MJ+H; J=0, 1, . . . , MN−11, H=0, 1, . . . , M−1)th M storage regions, into (MN−1H+MN−2([J/M1]modM)+ . . . +Mo([J/MN−1]modM))th M storage regions, (N) times.
(7) The inverse Fourier transform apparatus performs the inverse Fourier transform by performing a 3-stage butterfly operation on 64 pieces of time-series data by using 64 (M=4, N=3) continuous storage regions.
The third butterfly operation processing means repeats the processing of storing the respective (4J+H)th four pieces of data, obtained by the (J)th butterfly operation on the data stored in the four (4J+H; J=0 to 15, H=0 to 3)th storage regions, into the four (16H+4([J/4]mod4)+([J/16]mod4))th storage regions, 3 times.
As described above, the Fourier transform apparatus used in the correlation detection apparatus according to the present invention realizes software CDMA inverse-spread processing.
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2002-188848 | Jun 2002 | JP | national |
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