WO2020155224A1

WO2020155224A1 - Method and device for calculating modulus of complex number based on modem

Info

Publication number: WO2020155224A1
Application number: PCT/CN2019/075687
Authority: WO
Inventors: 王重仁; 萧清峯; 陈昭良
Original assignee: 深圳市南方硅谷微电子有限公司
Priority date: 2019-02-01
Filing date: 2019-02-21
Publication date: 2020-08-06
Also published as: CN109918047A

Abstract

Disclosed are a method and a device for calculating the modulus of a complex number based on a modem, the method comprising: acquiring the cosine value and sine value of a radio frequency carrier signal to be processed and generating a complex number I+jQ; correspondingly converting the complex number I+jQ into coordinate points (I, Q), and rotating the coordinate points to obtain the rotated coordinate points (I1, Q1); and if the value of atan(Q1/I1) falls within a preset angle range, calculating the modulus of the complex number I+jQ, so that the consumption of computing resources is reduced while ensuring the precise of the module.

Description

Modem-based complex number modulus method and device

Technical field

This application relates to the field of digital signal processing, in particular to a modem-based complex number modulus method, device, computer equipment and storage medium.

Background technique

In the communication field, such as in the digital signal processing process, such as the digital signal processing of the modem, it is often necessary to perform modulo operation on complex numbers. Generally, the modulo operation of complex numbers requires 2 multiplications and 1 square root operation, which is costly calculation Resources are great. Instead, the prior art uses approximate algorithms to reduce the amount of calculation, but there are still problems: it needs to consume a lot of calculation resources, or the accuracy of the calculated modulus is not high. For example, using the CORDIC algorithm to find the modulus of a complex number usually requires multiple rotations (for example, 16 times), which requires a lot of computing resources; using alpha*max(|x|, |y|)+beta*min(|x |, |y|) Calculate the modulus of the complex number x+jy. Although the amount of calculation becomes smaller, the accuracy of the calculated modulus is lower.

technical problem

The main purpose of this application is to provide a modem-based method, device, computer equipment, and storage medium for modulating a complex number, which aims to reduce computing resources while ensuring the accuracy of the modulus of the complex number.

Technical solutions

This application proposes a modem-based complex number modulus method, including the following steps:

Obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as a real part and the other as an imaginary part to generate a complex number I+jQ;

Correspondingly convert the complex number I+jQ into coordinate points (I, Q) in a rectangular coordinate system, and use a preset algorithm to rotate the coordinate points to obtain a rotated coordinate point (I1, Q1);

Determine whether the value of atan(Q1/I1) is within the preset angle range;

If the value of atan(Q1/I1) is within the preset angle range, the modulus of the complex number I+jQ is calculated according to the preset modulus formula.

This application provides a modem-based complex number modulus device, including:

The complex number generating unit is used to obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as the real part and the other as the imaginary part to generate a complex number I+ jQ;

The rotation processing unit is used to convert the complex number I+jQ into coordinate points (I, Q) in a rectangular coordinate system, and use a preset algorithm to rotate the coordinate points to obtain a rotating coordinate point ( I1,Q1);

The preset angle range judgment unit judges whether the value of atan (Q1/I1) is within the preset angle range;

The complex modulus calculation unit is configured to calculate the modulus of the complex number I+jQ according to the preset modulus formula if the value of atan(Q1/I1) is within the preset angle range.

The present application provides a computer device including a memory and a processor, the memory stores a computer program, and the processor implements the steps of any one of the foregoing methods when the computer program is executed.

The present application provides a computer-readable storage medium on which a computer program is stored, and when the computer program is executed by a processor, the steps of any of the above methods are implemented.

Beneficial effect

Compared with the prior art, the present application has the beneficial effects that: the modem-based complex modulus method, device, computer equipment and storage medium provided in the present application obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and One of the cosine value and the sine value is used as the real part, and the other is used as the imaginary part to generate a complex number I+jQ; the complex number I+jQ is correspondingly converted into a coordinate point (I, Q), and use a preset algorithm to rotate the coordinate points to obtain the rotated coordinate points (I1, Q1); determine whether the value of atan(Q1/I1) is within the preset angle range; if atan(Q1/ If the value of I1) is within the preset angle range, the modulus of the complex number I+jQ is calculated according to the preset modulus formula. Therefore, under the premise of ensuring the accuracy of the modulus of the complex number, the consumption of computational resources is reduced.

Description of the drawings

FIG. 1 is a schematic flowchart of a modem-based complex number modulus method according to an embodiment of this application;

2 is a schematic block diagram of the structure of a modem-based complex number modulus apparatus according to an embodiment of the application;

3 is a structural block diagram of a storage medium according to an embodiment of the application;

Fig. 4 is a structural block diagram of a computer device according to an embodiment of the application.

The realization, functional characteristics, and advantages of the purpose of this application will be further described in conjunction with the embodiments and with reference to the drawings.

The best implementation of this application

It should be understood that the specific embodiments described here are only used to explain the application, and not to limit the application.

1, an embodiment of the present application provides a modem-based complex number modulus method, including the following steps:

S1. Obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as the real part and the other as the imaginary part to generate a complex number I+jQ;

S2. Convert the complex number I+jQ into coordinate points (I, Q) in a rectangular coordinate system, and use a preset algorithm to rotate the coordinate points to obtain a rotated coordinate point (I1, Q1) ；

S3. Determine whether the value of atan(Q1/I1) is within the preset angle range;

S4. If the value of atan(Q1/I1) is within the preset angle range, calculate the modulus of the complex number I+jQ according to the preset modulus formula.

As described in step S1 above, obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as the real part, and the other as the imaginary part to generate a complex number I +jQ. A modem is a kind of computer hardware that can translate the digital signal of the computer into an analog signal, and these analog signals can be received by another modem at the other end and translated into a language that the computer can recognize. This simple process completes the communication between the two computers. Among them, in the process of processing the signal, it is often necessary to calculate the modulus of the complex number. Among them, the signal transmission generally uses a radio frequency carrier to transmit the radio frequency carrier signal. The received radio frequency carrier signal can come from another modem. Obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as a real part and the other as an imaginary part to generate a complex number I+jQ. The only parameters that can be changed for the RF carrier signal are cosine, frequency and sine. And sine is related to frequency. Therefore, the cosine and sine in the carrier signal are generally used as the two main modulation variables. Accordingly, the values of cosine and sine in the radio frequency carrier signal are extracted and recorded as complex numbers I+jQ. Since this embodiment is used to calculate the modulus of a complex number, I is the cosine in the radio frequency carrier signal, Q is the sine in the radio frequency carrier signal, or I is the sine in the radio frequency carrier signal, and Q is the all The cosine in the radio frequency carrier signal is acceptable.

As described in step S2 above, the complex number I+jQ is correspondingly converted into coordinate points (I, Q) in a rectangular coordinate system, and a preset algorithm is used to rotate the coordinate points to obtain a rotated coordinate point (I1, Q1). Among them, the preset algorithm for rotation processing can be any algorithm, preferably the CORDIC algorithm (Coordinate Rotation Digital Computer), where the CORDIC algorithm is the coordinate rotation digital calculation method, which replaces the multiplication operation by the basic addition and shift operation to make the vector rotation The calculation of sum orientation no longer needs functions such as trigonometric function, multiplication, square root, inverse trigonometry, and exponent. The CORDIC algorithm has multiple modes, among which the vector mode refers to the mode in which the direction of rotation is determined by judging the positive or negative of the Y axis of the coordinate point. Specifically, the CORDIC algorithm is used to perform rotation processing on the coordinate point (I, Q), so that the angle between the rotated coordinate point and the X axis of the planar rectangular coordinate system is reduced.

As described in the above step S3, it is determined whether the value of atan(Q1/I1) is within the preset angle range. The preset algorithm such as the CORDIC algorithm has enough rotation times to make the angle between the coordinate point and the X axis approach 0. At this time, the X axis reading of the coordinate point is the modulus of the complex number I+jQ, that is

Wherein, In is the X-axis direction reading of the coordinate point when the angle between the coordinate point and the X-axis approaches 0. However, to make the angle between the coordinate point and the X axis approach 0, too many rotations are required, and a lot of computer resources are required. If the value of atan(Q1/I1) is within the preset angle range, the coordinate point at this time can be used as a basis for approximately calculating the modulus of the complex number I+jQ, and the computer resources consumed are greatly reduced. The preset angle is, for example, (0, atan0.3), (0, atan0.25). Among them, atan is the arctangent function, that is, the inverse function of the tangent function.

As described in step S4, if the value of atan(Q1/I1) is within the preset angle range, the modulus of the complex number I+jQ is calculated according to the preset modulus formula. Among them, the preset modulus formula can be any formula, preferably: |I+jQ|=|I1+jQ1|=alpha×max(|I1|,|Q1|)+beta×min(|I1|,|Q1 |). Among them, the formula |I+jQ|=|I1+jQ1|=alpha×max(|I1|,|Q1|)+beta×min(|I1|,|Q1|) can use appropriate parameters alpha, beta, predict To estimate the value of the modulus of the complex number, the parameters alpha and beta are obtained by querying the correspondence between the prestored angle and the parameter. The corresponding relationship between the pre-stored angle and the parameter is, for example, (0,A) corresponding to the parameters alpha and beta are a1, b1, respectively, and [A, B) corresponding to the parameters alpha and beta are a2, b2, respectively. Preferably, the setting angle (0, atan0.25) corresponding to alpha and beta are 0.864458929403047 and 0.106419757324935 respectively.

In summary, this embodiment first uses a preset algorithm to perform rotation processing on the coordinate points corresponding to the complex number. After the rotation, if the value of atan(Q1/I1) is within the preset angle range, then the preset modulus formula is used to calculate Calculate the modulus of the complex number. Therefore, the number of rotations of the CORDIC algorithm is reduced under the premise of ensuring the accuracy of the modulus of the complex number.

In one embodiment, after the step S3 of judging whether the value of atan(Q1/I1) is within the preset angle range, the method includes:

S31. If the value of atan(Q1/I1) is not within a preset angle range, continue to use the preset algorithm to perform rotation processing on the coordinate points (I1, Q1).

As described above, continuous rotation processing is realized. If the value of atan(Q1/I1) is not within the preset angle range, it indicates that the number of rotations of the CORDIC algorithm for rotation processing is insufficient, and the subsequent preset modulus formula is not enough to obtain the modulus of the complex number. Therefore, it is also necessary to continue to use the preset algorithm to perform rotation processing on the coordinate points (I1, Q1).

In one embodiment, the cosine value and the sine value of the radio frequency carrier signal to be processed are obtained, and one of the cosine value and the sine value is used as the real part, and the other is used as the imaginary part to generate a complex number I+jQ The step S1 includes:

S101. Determine whether the absolute value of the cosine value is greater than the absolute value of the sine value;

S102. If the absolute value of the cosine value is greater than the absolute value of the sine value, use I as the cosine value in the radio frequency carrier signal and Q as the sine value in the radio frequency carrier signal, thereby generating a complex number I +jQ;

S103. If the absolute value of the cosine value is not greater than the absolute value of the sine value, use I as the sine value in the radio frequency carrier signal and Q as the sine value in the radio frequency carrier signal, thereby generating a complex number I+jQ.

As described above, the complex number I+jQ is generated. In order to reduce the number of rotations of the subsequent preset algorithm, the smaller value of the absolute value of cosine and sine is recorded as Q, and the larger value is recorded as I. In this way, the initial complex number I+jQ is transformed into the line between the coordinate point and the origin in the rectangular coordinate system, and the angle with the X axis is smaller, thereby reducing the number of rotations of the subsequent CORDIC algorithm. Among them, since sine may be negative, the absolute value is compared.

In one embodiment, the complex number I+jQ is correspondingly converted into coordinate points (I, Q) in a plane rectangular coordinate system, and a preset algorithm is used to rotate the coordinate points to obtain a rotated coordinate point Step S2 of (I1, Q1) includes:

S201. Establish a planar rectangular coordinate system, use the cosine or the sine as the X axis, and the sine or the cosine as the Y axis, and convert the complex number I+jQ into coordinates in the planar rectangular coordinate system. Point (I, Q);

S202. Use the vector mode of the CORDIC algorithm to perform rotation processing on the coordinate point (I, Q) around the origin to obtain the rotation coordinate point (I1, Q1) after the rotation processing, wherein the single rotation angle of the rotation processing is Is ±atan 2 ^-i , where the number of rotations is recorded as i times.

As mentioned above, the coordinate point (I1, Q1) after the rotation processing is obtained.

The iterative formula of Cordic algorithm is:

x _i+1 =K _i [x _i -y _i ·d _i ·2 ^-i ]

y _i+1 =K _i [y _i +x _i ·d _i ·2 ^-i ]

Among them, Ki=cos(θi), i is the number of rotations, θi is the angle of rotation during the i-th rotation, and di=-sign(yi). The function of the sign function is to take the sign (positive or negative) of a certain number: when x>0, sign(x)=1; when x=0, sign(x)=0; when x<0, sign(x) )=-1. It can be seen that the coordinate point (xi+1, yi+1) after rotation is compared with the coordinate point (xi, yi) before rotation, which is obtained by rotating ±atan 2 ^-i . In addition, by rotating ±atan 2 ^-i , the computer can use shift operations to perform rotation operations, which eliminates more multiplication operations and saves computing power compared to other rotation angles. Among them, ±atan 2 ^-i respectively represent clockwise rotation atan 2 ^-i degrees and counterclockwise rotation atan 2 ^-i degrees. Among them, the CORDIC algorithm has multiple modes, among which the vector mode refers to the mode of determining the direction of rotation by judging the positive or negative of the Y axis of the coordinate point, that is, judging the direction of rotation by the positive or negative of the Q value.

In an embodiment, the vector mode using the CORDIC algorithm performs rotation processing on the coordinate point (I, Q) around the origin to obtain the rotated coordinate point (I1, Q1) after the rotation processing, wherein the rotation processing The step S202 where the single rotation angle of is ±atan 2 ^-i includes:

S2021: Determine whether the Q value is a positive number;

S2022, if yes, use the vector mode of the CORDIC algorithm to perform rotation processing on the coordinate point (I, Q) around the origin by a rotation angle of atan 2 ^-i , to obtain the rotated coordinate point (I1, Q1) after the rotation processing ；

S2023. If not, use the vector mode of the CORDIC algorithm to perform rotation processing on the coordinate point (I, Q) around the origin with a rotation angle of -atan 2 ^-i to obtain the rotated coordinate point (I1, Q1).

As described above, the vector mode using the CORDIC algorithm is implemented to rotate the coordinate point (I, Q) around the origin. If the Q value is positive, the coordinate point (I, Q) should be rotated clockwise, that is, the rotation angle of atan 2 ^-i should be performed around the origin, so that the coordinate point (I, Q) is close to the X axis; if the Q value is negative, the coordinate point (I, Q) should be rotated counterclockwise, that is, the rotation angle of -atan 2 ^-i is performed around the origin to make The coordinate point (I, Q) is close to the X axis.

In one embodiment, if the value of atan(Q1/I1) is within a preset angle range, the step S4 of calculating the modulus of the complex number I+jQ according to a preset modulus formula includes:

S401. If the value of atan(Q1/I1) is within the preset angle range, the formula is adopted: |I+jQ|=alpha×max(|I1|,|Q1|)+beta×min(|I1|,| Q1|), calculate the modulus of the complex number, where |I+jQ| is the modulus of the complex number I+jQ, and the parameters alpha and beta are obtained by querying the correspondence between the prestored angle and the parameter.

As described above, the formula: |I+jQ|=alpha×max(|I1|,|Q1|)+beta×min(|I1|,|Q1|) is used to calculate the modulus of the complex number. If the value of atan(Q1/I1) is within the preset angle range, it indicates that the values of the parameters alpha and beta can be obtained according to the corresponding relationship between the prestored angle and the parameters, and then the values of the parameters alpha and beta are inserted into the formula |I+jQ |=alpha×max(|I1|,|Q1|)+beta×min(|I1|,|Q1|), the modulus of the complex number can be calculated.

S411: If the value of atan(Q1/I1) is within a preset angle range, determine whether the number of rotations of the rotation processing is greater than a preset number of rotations threshold;

S412. If yes, calculate the modulus of the complex number I+jQ according to the preset modulus formula.

As described above, the calculation accuracy of the modulus of the complex number is further improved. The more the number of rotations of the preset algorithm such as CORDIC algorithm, the higher the precision of the complex number modulus obtained by the subsequent processing. If the number of rotations of the rotation processing is greater than the preset rotation threshold, it indicates that sufficient computing resources have been consumed, and the rotation should not be continued to consume computing resources. The preset modulus formula can already be used, for example, the formula: |I+ jQ|=|I1+jQ1|=alpha×max(|I1|,|Q1|)+beta×min(|I1|,|Q1|), calculate the modulus of the complex number. Wherein, the rotation threshold is, for example, 3-10 times.

The modem-based complex number modulus method of the present application obtains the cosine value and the sine value of the radio frequency carrier signal to be processed, and uses one of the cosine value and the sine value as the real part and the other as the imaginary part. The part generates a complex number I+jQ; correspondingly transforms the complex number I+jQ into a coordinate point (I, Q) in a rectangular coordinate system, and uses a preset algorithm to rotate the coordinate point to obtain a rotated coordinate point (I1,Q1); Determine whether the value of atan(Q1/I1) is within the preset angle range; if the value of atan(Q1/I1) is within the preset angle range, calculate the value according to the preset modulus formula The modulus of the complex number I+jQ. Therefore, under the premise of ensuring the accuracy of the modulus of the complex number, the consumption of computational resources is reduced.

2, an embodiment of the present application provides a modem-based complex number modulus device, including:

The complex number generating unit 1 is used to obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as the real part and the other as the imaginary part to generate a complex number I +jQ;

The rotation processing unit 2 is configured to correspondingly convert the complex number I+jQ into coordinate points (I, Q) in a plane rectangular coordinate system, and use a preset algorithm to rotate the coordinate points to obtain a rotating coordinate point (I1,Q1);

The preset angle range judgment unit 3 judges whether the value of atan (Q1/I1) is within the preset angle range;

The complex modulus calculation unit 4 is configured to calculate the modulus of the complex number I+jQ according to the preset modulus formula when the value of atan(Q1/I1) is in the preset angle range.

As described in the above unit 1, obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as the real part, and the other as the imaginary part to generate a complex number I +jQ. A modem is a kind of computer hardware that can translate the digital signal of the computer into an analog signal, and these analog signals can be received by another modem at the other end and translated into a language that the computer can recognize. This simple process completes the communication between the two computers. Among them, in the process of processing the signal, it is often necessary to calculate the modulus of the complex number. Among them, the signal transmission generally uses a radio frequency carrier to transmit the radio frequency carrier signal. The received radio frequency carrier signal can come from another modem. Obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as a real part and the other as an imaginary part to generate a complex number I+jQ. The only parameters that can be changed for the RF carrier signal are cosine, frequency and sine. And sine is related to frequency. Therefore, the cosine and sine in the carrier signal are generally used as the two main modulation variables. Accordingly, the values of cosine and sine in the radio frequency carrier signal are extracted and recorded as complex numbers I+jQ. Since this embodiment is used to calculate the modulus of a complex number, I is the cosine in the radio frequency carrier signal, Q is the sine in the radio frequency carrier signal, or I is the sine in the radio frequency carrier signal, and Q is the all The cosine in the radio frequency carrier signal is acceptable.

As described in the above unit 2, the complex number I+jQ is correspondingly converted into coordinate points (I, Q) in a rectangular coordinate system, and the coordinate points are rotated by a preset algorithm to obtain the rotated coordinate points (I1, Q1). Among them, the preset algorithm for rotation processing can be any algorithm, preferably the CORDIC algorithm (Coordinate Rotation Digital Computer), where the CORDIC algorithm is the coordinate rotation digital calculation method, which replaces the multiplication operation by the basic addition and shift operation to make the vector rotation The calculation of sum orientation no longer needs functions such as trigonometric function, multiplication, square root, inverse trigonometry, and exponent. The CORDIC algorithm has multiple modes, among which the vector mode refers to the mode in which the direction of rotation is determined by judging the positive or negative of the Y axis of the coordinate point. Specifically, the CORDIC algorithm is used to perform rotation processing on the coordinate point (I, Q), so that the angle between the rotated coordinate point and the X axis of the planar rectangular coordinate system is reduced.

As described in the above unit 3, it is determined whether the value of atan(Q1/I1) is within the preset angle range. The preset algorithm such as the CORDIC algorithm has enough rotation times to make the angle between the coordinate point and the X axis approach 0. At this time, the X axis reading of the coordinate point is the modulus of the complex number I+jQ, that is

As described in the above unit 4, if the value of atan(Q1/I1) is within the preset angle range, the modulus of the complex number I+jQ is calculated according to the preset modulus formula. Among them, the preset modulus formula can be any formula, preferably: |I+jQ|=|I1+jQ1|=alpha×max(|I1|,|Q1|)+beta×min(|I1|,|Q1 |). Among them, the formula |I+jQ|=|I1+jQ1|=alpha×max(|I1|,|Q1|)+beta×min(|I1|,|Q1|) can use appropriate parameters alpha, beta, predict To estimate the value of the modulus of the complex number, the parameters alpha and beta are obtained by querying the correspondence between the prestored angle and the parameter. The corresponding relationship between the pre-stored angle and the parameter is, for example, (0,A) corresponding to the parameters alpha and beta are a1, b1, respectively, and [A, B) corresponding to the parameters alpha and beta are a2, b2, respectively. Preferably, the setting angle (0, atan0.25) corresponding to alpha and beta are 0.864458929403047 and 0.106419757324935 respectively.

In summary, this embodiment first uses a preset algorithm to perform rotation processing on the coordinate points corresponding to the complex number. After the rotation, if the value of atan(Q1/I1) is within the preset angle range, then the preset modulus formula is used to calculate Find the modulus of the complex number. Therefore, the number of rotations of the CORDIC algorithm is reduced under the premise of ensuring the accuracy of the modulus of the complex number.

In one embodiment, the device includes:

The continuous rotation unit is configured to continue to use the preset algorithm to perform rotation processing on the coordinate points (I1, Q1) when the value of the atan(Q1/I1) is not within the preset angle range.

In one embodiment, the complex number generating unit 1 includes:

An absolute value judging subunit for judging whether the absolute value of the cosine value is greater than the absolute value of the sine value;

The first complex number generating subunit is configured to use I as the cosine value in the radio frequency carrier signal and Q as the cosine value in the radio frequency carrier signal when the absolute value of the cosine value is greater than the absolute value of the sine value. A sine value to generate a complex number I+jQ;

The second complex number generating subunit is used for when the absolute value of the cosine value is not greater than the absolute value of the sine value, using I as the sine value in the radio frequency carrier signal and Q as the radio frequency carrier signal The sine value of, thereby generating a complex number I+jQ.

In one embodiment, the rotation processing unit 2 includes:

The plane rectangular coordinate establishment subunit is used to establish a plane rectangular coordinate system, with the cosine or the sine as the X axis, the sine or the cosine as the Y axis, and correspondingly transform the complex number I+jQ into the The coordinate point (I, Q) in the plane rectangular coordinate system;

The rotation processing subunit is used to perform rotation processing on the coordinate point (I, Q) around the origin using the vector mode of the CORDIC algorithm to obtain the rotation coordinate point (I1, Q1) after the rotation processing, wherein the rotation processing The single rotation angle of is ±atan 2 ^-i , and the number of rotations is recorded as i times.

The iterative formula of Cordic algorithm is:

x _i+1 =K _i [x _i -y _i ·d _i ·2 ^-i ]

y _i+1 =K _i [y _i +x _i ·d _i ·2 ^-i ]

In an embodiment, the rotation processing sub-unit includes:

The Q value judgment module is used to judge whether the Q value is a positive number;

The first rotation processing module is used for when the Q value is positive, the vector mode of the CORDIC algorithm is used to rotate the coordinate point (I, Q) around the origin by a rotation angle of atan 2 ^-i to obtain The rotation coordinate point (I1, Q1) after the rotation processing;

The second rotation processing module is used for when the Q value is not a positive number, the vector mode of the CORDIC algorithm is used to perform rotation processing on the coordinate point (I, Q) around the origin by an angle of -atan 2 ^-i , Obtain the rotation coordinate point (I1, Q1) after the rotation processing.

In one embodiment, the complex number modulus calculation unit 4 includes:

Complex number modulus calculation subunit, used when the value of atan(Q1/I1) is within the preset angle range, the formula is used: |I+jQ|=alpha×max(|I1|,|Q1|)+beta ×min(|I1|,|Q1|), calculate the modulus of the complex number, where |I+jQ| is the modulus of the complex number I+jQ, and the parameters alpha and beta are obtained by querying the prestored angle and parameter correspondence.

In one embodiment, the complex number modulus calculation unit 4 includes:

The number of rotations threshold judging subunit is used to determine whether the number of rotations of the rotation processing is greater than the preset number of rotations threshold when the value of atan(Q1/I1) is within the preset angle range;

The complex modulus calculation subunit is configured to calculate the modulus of the complex number I+jQ according to the preset modulus calculation formula when the rotation number of the rotation processing is greater than a preset rotation number threshold.

The modem-based complex number modulus device of the present application obtains the cosine value and the sine value of the radio frequency carrier signal to be processed, and uses one of the cosine value and the sine value as the real part and the other as the imaginary part. The part generates a complex number I+jQ; correspondingly transforms the complex number I+jQ into a coordinate point (I, Q) in a rectangular coordinate system, and uses a preset algorithm to rotate the coordinate point to obtain a rotated coordinate point (I1,Q1); Determine whether the value of atan(Q1/I1) is within the preset angle range; if the value of atan(Q1/I1) is within the preset angle range, calculate the value according to the preset modulus formula The modulus of the complex number I+jQ. Therefore, under the premise of ensuring the accuracy of the modulus of the complex number, the consumption of computational resources is reduced.

Referring to FIG. 3, the present application also provides a computer-readable storage medium 10 on which a computer program 11 is stored. When the computer program 11 is executed by a processor, the modem-based complex number request as described in the above embodiment is implemented. The steps of the model method.

4, the present application also provides a computer device 20, including a memory 22 and a processor 21, the memory stores a computer program 221, the processor executes the computer program 221 as described in the above embodiment Describe the steps of the modem-based complex number modulus method.

In the above embodiments, it may be implemented in whole or in part by software, hardware, firmware or any combination thereof. When implemented by software, it can be implemented in the form of a computer program product in whole or in part.

The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, the processes or functions described in the embodiments of the present application are generated in whole or in part. The computer may be a general-purpose computer, a special-purpose computer, a computer network, or other programmable devices. The computer instructions may be stored in a storage medium, or transmitted from one storage medium to another storage medium. For example, the computer instructions may be sent from a website, computer, server, or data center through wired (such as coaxial cable, optical fiber) , Digital Subscriber Line (DSL)) or wireless (such as infrared, wireless, microwave, etc.) to another website site, computer, server or data center. The storage medium may be any available medium that can be stored by a computer or a data storage device such as a server or data center integrated with one or more available media. The usable medium may be a magnetic medium (for example, a floppy disk, a hard disk, a magnetic tape), an optical medium (for example, a DVD), or a semiconductor medium (for example, a solid state disk (SSD)).

A person of ordinary skill in the art can understand that all or part of the processes in the above-mentioned embodiment methods can be implemented by instructing relevant hardware through a computer program. The computer program can be stored in a non-volatile computer readable storage. In the medium, when the computer program is executed, it may include the procedures of the above-mentioned method embodiments. Wherein, any reference to memory, storage, database or other media provided in this application and used in the embodiments may include non-volatile and/or volatile memory. Non-volatile memory may include read only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM), or flash memory. Volatile memory may include random access memory (RAM) or external cache memory. As an illustration and not a limitation, RAM is available in many forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), dual-rate data rate SDRAM (SSRSDRAM), enhanced SDRAM (ESDRAM), synchronous Link (Synchlink) DRAM (SLDRAM), memory bus (Rambus) direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM), etc.

It should be noted that in this article, the terms "include", "include" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, device, article or method including a series of elements not only includes those elements, It also includes other elements not explicitly listed, or elements inherent to the process, device, article, or method. If there are no more restrictions, the element defined by the sentence "including a..." does not exclude the existence of other identical elements in the process, device, article, or method that includes the element.

The above are only the preferred embodiments of this application, and do not limit the scope of this application. Any equivalent structure or equivalent process transformation made using the content of the description and drawings of this application, or directly or indirectly applied to other related The technical field is equally included in the scope of patent protection of this application.

Claims

A modem-based complex number modulus method, which is characterized in that it includes:

Obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as a real part and the other as an imaginary part to generate a complex number I+jQ;

Correspondingly convert the complex number I+jQ into coordinate points (I, Q) in a rectangular coordinate system, and use a preset algorithm to rotate the coordinate points to obtain a rotated coordinate point (I1, Q1);

Determine whether the value of atan(Q1/I1) is within the preset angle range;

If the value of atan(Q1/I1) is within the preset angle range, the modulus of the complex number I+jQ is calculated according to the preset modulus formula.
The modem-based complex number modulus method according to claim 1, wherein after the step of judging whether the value of atan(Q1/I1) is within a preset angle range, the method comprises:

If the value of atan(Q1/I1) is not in the preset angle range, then continue to use the preset algorithm to perform rotation processing on the coordinate points (I1, Q1).
The modem-based complex number modulus method according to claim 1, wherein said obtaining the cosine value and the sine value of the radio frequency carrier signal to be processed, and combining the cosine value and the sine value One value is used as the real part, and the other is used as the imaginary part. The steps to generate a complex number I+jQ include:

Judging whether the absolute value of the cosine value is greater than the absolute value of the sine value;

If the absolute value of the cosine value is greater than the absolute value of the sine value, use I as the cosine value in the radio frequency carrier signal and Q as the sine value in the radio frequency carrier signal, thereby generating a complex number I+jQ ；

If the absolute value of the cosine value is not greater than the absolute value of the sine value, use I as the sine value in the radio frequency carrier signal and Q as the sine value in the radio frequency carrier signal, thereby generating a complex number I+ jQ.
The modem-based complex number modulus method according to claim 1, wherein the said complex number I+jQ is correspondingly transformed into coordinate points (I, Q) in a rectangular coordinate system, and a preset algorithm is used The step of performing rotation processing on the coordinate point to obtain a rotating coordinate point (I1, Q1) includes:

Establish a plane rectangular coordinate system, take the cosine or the sine as the X axis, and the sine or the cosine as the Y axis, and transform the complex number I+jQ into coordinate points in the plane rectangular coordinate system ( I,Q);

The vector mode of the CORDIC algorithm is used to rotate the coordinate point (I, Q) around the origin to obtain the rotated coordinate point (I1, Q1) after the rotation processing, wherein the single rotation angle of the rotation processing is ± atan 2 -i , where the number of rotations is recorded as i times.
The modem-based complex modulus method according to claim 4, wherein the vector mode of the CORDIC algorithm is used to rotate the coordinate point (I, Q) around the origin to obtain the rotated The step of rotating the coordinate point (I1, Q1), wherein the single rotation angle of the rotation processing is ±atan 2 -i , includes:

Determine whether the Q value is a positive number;

If yes, use the vector mode of the CORDIC algorithm to perform rotation processing on the coordinate point (I, Q) around the origin with a rotation angle of atan 2 -i to obtain the rotated coordinate point (I1, Q1) after the rotation processing;

If not, use the vector mode of the CORDIC algorithm to rotate the coordinate point (I, Q) around the origin with a rotation angle of -atan 2 -i to obtain the rotated coordinate point (I1, Q1) after the rotation process .
The modem-based complex number modulus method according to claim 1, wherein if the value of atan(Q1/I1) is within a preset angle range, the complex number I is calculated according to a preset modulus formula. The steps for +jQ's modulus to be within the preset angle range include:

If the value of atan(Q1/I1) is within the preset angle range, use the formula: |I+jQ|=alpha×max(|I1|,|Q1|)+beta×min(|I1|,|Q1| ), calculate the modulus of the complex number, where |I+jQ| is the modulus of the complex number I+jQ, and the parameters alpha and beta are obtained by querying the prestored angle and parameter correspondence.
The modem-based complex number modulus method according to claim 1, wherein if the value of atan(Q1/I1) is within a preset angle range, the complex number I is calculated according to a preset modulus formula. The steps for +jQ's modulus to be within the preset angle range include:

If the value of atan(Q1/I1) is within the preset angle range, it is determined whether the number of rotations of the rotation processing is greater than the preset threshold of the number of rotations;

If yes, the modulus of the complex number I+jQ is calculated according to the preset modulus formula.
A modem-based complex number modulus device, characterized in that it comprises:

A complex number generating unit, configured to obtain the cosine value and the sine value of the radio frequency carrier signal to be processed, and use one of the cosine value and the sine value as the real part, and the other as the imaginary part to generate the complex number I+jQ;

The rotation processing unit is used to convert the complex number I+jQ into coordinate points (I, Q) in a rectangular coordinate system, and use a preset algorithm to rotate the coordinate points to obtain a rotating coordinate point ( I1,Q1);

The preset angle range judgment unit judges whether the value of atan (Q1/I1) is within the preset angle range;

The complex modulus calculation unit is configured to calculate the modulus of the complex number I+jQ according to the preset modulus formula when the value of atan(Q1/I1) is within the preset angle range.
The modem-based complex number modulus device according to claim 8, wherein the device comprises:

The continuous rotation unit is configured to continue to use the preset algorithm to perform rotation processing on the coordinate points (I1, Q1) when the value of the atan(Q1/I1) is not within the preset angle range.
The modem-based complex number modulus device according to claim 8, wherein the complex number generating unit comprises:

An absolute value judging subunit for judging whether the absolute value of the cosine value is greater than the absolute value of the sine value;

The first complex number generating subunit is configured to use I as the cosine value in the radio frequency carrier signal and Q as the radio frequency carrier signal when the absolute value of the cosine value is greater than the absolute value of the sine value The sine value in, thereby generating a complex number I+jQ;

The second complex number generating subunit is configured to use I as the sine value in the radio frequency carrier signal and Q as the radio frequency carrier when the absolute value of the cosine value is not greater than the absolute value of the sine value The sine value in the signal, which generates the complex number I+jQ.
8. The modem-based complex modulus device according to claim 8, wherein the rotation processing unit comprises:

The plane rectangular coordinate establishment subunit is used to establish a plane rectangular coordinate system, using the cosine or the sine as the X axis, the sine or the cosine as the Y axis, and correspondingly transforming the complex number I+jQ into the The coordinate point (I, Q) in the plane rectangular coordinate system;

The rotation processing subunit is used to perform rotation processing on the coordinate point (I, Q) around the origin using the vector mode of the CORDIC algorithm to obtain the rotation coordinate point (I1, Q1) after the rotation processing, wherein the rotation processing The single rotation angle of is ±atan 2 -i , and the number of rotations is recorded as i times.
11. The modem-based complex modulus device according to claim 11, wherein the rotation processing sub-unit comprises:

The Q value judgment module is used to judge whether the Q value is a positive number;

The first rotation processing module is used for when the Q value is positive, the vector mode of the CORDIC algorithm is used to rotate the coordinate point (I, Q) around the origin by a rotation angle of atan 2 -i to obtain The rotation coordinate point (I1, Q1) after the rotation processing;

The second rotation processing module is used for when the Q value is not a positive number, the vector mode of the CORDIC algorithm is used to perform rotation processing on the coordinate point (I, Q) around the origin by an angle of -atan 2 -i , Obtain the rotation coordinate point (I1, Q1) after the rotation processing.
The modem-based complex number modulus device according to claim 8, wherein the complex number modulus calculation unit comprises:

Complex number modulus calculation subunit, used when the value of atan(Q1/I1) is within the preset angle range, the formula is used: |I+jQ|=alpha×max(|I1|,|Q1|)+beta ×min(|I1|,|Q1|), calculate the modulus of the complex number, where |I+jQ| is the modulus of the complex number I+jQ, and the parameters alpha and beta are obtained by querying the prestored angle and parameter correspondence.
The modem-based complex number modulus device according to claim 8, wherein the complex number modulus calculation unit comprises:

The number of rotations threshold judging subunit is used to determine whether the number of rotations of the rotation processing is greater than the preset number of rotations threshold when the value of atan(Q1/I1) is within the preset angle range;

The complex modulus calculation subunit is configured to calculate the modulus of the complex number I+jQ according to the preset modulus calculation formula when the rotation number of the rotation processing is greater than a preset rotation number threshold.
A computer device, comprising a memory and a processor, the memory stores a computer program, wherein the processor implements the modem-based method according to any one of claims 1 to 7 when the computer program is executed. Steps of complex number modulus method.