CN112415278B - Electromagnetic wave spectrum selection method and device for multipath fading - Google Patents
Electromagnetic wave spectrum selection method and device for multipath fading Download PDFInfo
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Abstract
The invention discloses an electromagnetic wave spectrum selection method and device aiming at multipath fading, belonging to the field of wireless communication networks, wherein the method comprises the following steps: performing first-order derivation on a relation function of the electromagnetic signal channel loss value and the frequency to obtain a lowest loss frequency group; selecting a reference frequency from the lowest loss frequency group as a first initial value of a binary root searching method, and analyzing and calculating frequency points one by one to obtain a second initial value of the binary root searching method; and acquiring the frequency band with the channel attenuation meeting the condition through a binary root-finding algorithm. The invention adopts a method of combining a binary root-finding algorithm and the first-order derivation of the channel attenuation curve, can quickly analyze the frequency band with smaller electromagnetic signal loss caused by multipath fading, provides data reference for a frequency spectrum management system, and has quick and reliable calculation and less occupied computer resources.
Description
Technical Field
The invention relates to the field of wireless communication networks, in particular to an electromagnetic wave spectrum selection method and device for multipath fading based on a binary root-finding algorithm.
Background
When an electromagnetic wave signal is transmitted between a transmitter and a receiver, because the electromagnetic wave signal is transmitted in space and reflected, diffracted and the like exist, the signal is not always transmitted along a sight line in a straight line but can reach a receiving end through a plurality of paths, and the time delay, fading and phase of each signal component are different, so that the received signal is in a fading state, further signal distortion is caused, and even serious errors are generated.
In both military and civilian communication applications, it is desirable to avoid multipath fading. However, complete avoidance is violating natural rules. The current solution is to mitigate the negative impact of this phenomenon through radio spectrum management. The radio frequency spectrum management analyzes the loss condition of the electromagnetic wave signals with multipath propagation under different frequencies, extracts the frequency band interval with minimum loss or acceptable loss of a communication system, and then scientifically manages and reasonably distributes the frequency bands to realize effective inhibition of multipath fading.
Today, with rapid development of mobile communication, how to rapidly analyze an existing electromagnetic wave signal loss model, efficiently extract available frequency bands, and provide important data reference for a spectrum management system is a problem to be solved at present.
Disclosure of Invention
In view of this, the present invention provides an electromagnetic spectrum selection method and apparatus for multipath fading, which are mainly used to quickly analyze a frequency band with less electromagnetic signal loss caused by multipath fading under the condition of multipath propagation, and provide data reference for a spectrum management system. And the method is simple and reliable in calculation and occupies less system calculation resources.
According to an aspect of the present application, there is provided an electromagnetic wave spectrum selection method for multipath fading, comprising: setting a maximum channel loss allowable value; a first-order derivation step, namely performing first-order derivation on a relation function f (x) of the electromagnetic wave signal channel loss value and the frequency to obtain f' (x); wherein x is frequency, and f (x) is the channel loss value corresponding to the frequency; acquiring a lowest loss frequency group, sampling the frequency of an electromagnetic wave signal to obtain a frequency ascending sequence A1,A2......Ai(ii) a For the frequency ascending sequence A1,A2......AiSubstituting the f '(x) into the f' (x) one by one in the order from small to large, and calculating f (A)n) Obtaining all the coincidences f (A)n) < 0 and f (A)n+1) Frequency A > 0nIs the lowest loss frequency group and is marked as An1,An2......Ank(ii) a A step of obtaining a first initial parameter, selecting a frequency A from the lowest loss frequency groupnmSaid frequency AnmSatisfies f (A)nm) < the maximum allowable value of channel loss, setting the frequency AnmIs a reference frequency, wherein m is a positive integer and is less than or equal to k; according to A to the ascending sequence of the frequencynm,Anm-1......A1Calculating f (A) one by one in descending ordern) Obtaining satisfaction (f (A)nj+1) -said maximum channel loss allowanceValue) x (f (A)nj) -frequency a of said maximum channel loss allowed value) < 0njIs the first initial parameter; a step of obtaining a second initial parameter, namely, the frequency ascending sequence is processed according to Anm,Anm+1......AiCalculating f (A) one by one from small to largen) Obtaining satisfaction (f (A)nq-1) -said maximum channel loss allowed value x (f (A)nq) -frequency a of said maximum channel loss allowed value) < 0nqIs the second initial parameter; a binary root-finding method step, configuring a maximum precision error value; at the reference frequency AnmAnd said first initial parameter AnjFor the initial value of the binary root finding method, obtaining the condition f (X) by using the binary root finding method to perform iterative computation0a) -said maximum allowed value of channel loss is less than or equal to a first end value X of said maximum error value of precision0a(ii) a At the reference frequency AnmAnd said second initial parameter AnqFor the initial value of the binary root finding method, obtaining the condition f (X) by using the binary root finding method to perform iterative computation0b) -said maximum allowed value of channel loss is less than or equal to a second end value X of said maximum error value of precision0b(ii) a Obtaining a frequency interval of [ X ] according with the maximum channel loss allowable value0a,X0b](ii) a And repeating the step of obtaining the first initial parameter, the step of obtaining the second initial parameter and the step of the binary root finding method, traversing the lowest loss frequency group, and obtaining all frequency intervals which accord with the maximum channel loss allowable value.
As a further improvement of the embodiment of the present invention, the step of the binary root-finding method further includes setting a maximum iteration number, and stopping the iterative computation of the binary root-finding method when the iteration number of the binary root-finding method reaches the maximum iteration number.
As a further improvement of the embodiment of the present invention, the step of obtaining the lowest loss frequency set further includes storing the lowest loss frequency set an1,An2......AnkAnd said lowest loss frequency group An1,An2......AnkCorresponding set of channel loss values f (A)n1),f(An2)......f(Ank)。
According to another aspect of the present application, there is provided an electromagnetic wave spectrum selection apparatus for multipath fading, comprising: setting a maximum channel loss allowable value; a first-order derivation module: is configured to perform first order derivation on a relation function f (x) of the electromagnetic wave signal channel loss value and the frequency to obtain f' (x); wherein x is frequency, and f (x) is the channel loss value corresponding to the frequency; and a lowest loss frequency group obtaining module: is configured to sample the frequency of the electromagnetic wave signal to obtain a frequency ascending sequence A1,A2......Ai(ii) a For the frequency ascending sequence A1,A2......AiSubstituting the f '(x) obtained from the first-order derivation module one by one according to the sequence from small to large, and calculating f' (A)n) All the coincidences f' (A) are obtainedn) < 0 and f' (A)n+1) Frequency A > 0nIs the lowest loss frequency group and is marked as An1,An2......Ank(ii) a The module for obtaining the first initial parameter comprises: configured to obtain the lowest loss frequency group and the ascending sequence of frequencies from the module for obtaining the lowest loss frequency group, and select a frequency A from the lowest loss frequency groupnmSaid frequency AnmSatisfies f (A)nm) < the maximum allowable value of channel loss, setting the frequency AnmIs a reference frequency, wherein m is a positive integer and is less than or equal to k; according to A to the ascending sequence of the frequencynm,Anm-1......A1Calculating f (A) one by one in descending ordern) Obtaining satisfaction (f (A)nj+1) -said maximum channel loss allowed value x (f (A)nj) -frequency a of said maximum channel loss allowed value) < 0njIs the first initial parameter; a module for obtaining a second initial parameter: is configured to obtain the lowest loss frequency group and the ascending sequence of frequencies from the lowest loss frequency group obtaining module, and obtain the reference frequency A from the first initial parameter modulenmFor the frequency ascending sequence according to Anm,Anm+1......AiCalculating f (A) one by one from small to largen) Obtaining satisfaction (f (A)nq-1) -said maximum channel loss allowed value x (f (A)nq) -frequency a of said maximum channel loss allowed value) < 0nqIs the second initial parameter; a two-division root searching method module: is configured to obtain the first initial parameter A from the obtain first initial parameter modulenjObtaining the second initial parameter A from the module for obtaining the second initial parameternq(ii) a Configuring a maximum precision error value; at the reference frequency AnmAnd said first initial parameter AnjFor the initial value of the binary root finding method, obtaining the condition f (X) by using the binary root finding method to perform iterative computation0a) -said maximum allowed value of channel loss is less than or equal to a first end value X of said maximum error value of precision0a(ii) a At the reference frequency AnmAnd said second initial parameter AnqFor the initial value of the binary root finding method, obtaining the condition f (X) by using the binary root finding method to perform iterative computation0b) -said maximum allowed value of channel loss is less than or equal to a second end value X of said maximum error value of precision0b(ii) a Obtaining a frequency interval of [ X ] according with the maximum channel loss allowable value0a,X0b](ii) a And repeating the first initial parameter obtaining module, the second initial parameter obtaining module and the binary root finding module, traversing the lowest loss frequency group, and obtaining all frequency intervals according with the maximum channel loss allowable value.
As a further improvement of the embodiment of the present invention, the binary root-finding module is further provided with a maximum iteration number, and when the iteration number calculated by the binary root-finding method reaches the maximum iteration number, the iterative calculation by the binary root-finding method is stopped.
As a further improvement of the embodiment of the present invention, the module for obtaining the lowest loss frequency group further includes a storage module, configured to store the lowest loss frequency group an1,An2......AnkAnd said lowest loss frequency group An1,An2......AnkCorresponding set of channel loss values f (A)n1),f(An2).......f(Ank)。
The beneficial effects of the invention include:
(1) by adopting the method of combining the binary root-finding algorithm with the first-order derivation of the channel attenuation curve, the problems that the algorithm possibly consumes too long time, is locally optimized and even cannot be converged and the like in the traditional binary root-finding algorithm can be effectively solved, and the frequency band with less electromagnetic wave signal loss caused by multipath fading can be rapidly analyzed. The calculation is fast and reliable, and the occupied computer resources are less.
(2) The lowest loss and the corresponding frequency are stored, and the calculation results of the lowest loss and the corresponding frequency under the same channel condition are consistent, so that the lowest loss and the corresponding frequency can be called as required after storage, and the repeated calculation work is reduced.
The foregoing description is only an overview of the technical solutions of the present invention, and the embodiments of the present invention are described below in order to make the technical means of the present invention more clearly understood and to make the above and other objects, features, and advantages of the present invention more clearly understandable.
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Various other advantages and benefits will become apparent to those of ordinary skill in the art upon reading the following detailed description of the preferred embodiments. The drawings are only for purposes of illustrating the preferred embodiments and are not to be construed as limiting the invention. Also, like reference numerals are used to refer to like parts throughout the drawings. In the drawings:
FIG. 1 is a diagram showing channel loss as a function of frequency for an electromagnetic wave signal of an exemplary electromagnetic wave dual-path propagation model in an electromagnetic wave spectrum selection method for multipath fading according to the present invention;
FIG. 2 is a diagram illustrating a set of lowest loss frequencies of an exemplary electromagnetic wave dual-path propagation model in an electromagnetic wave spectrum selection method for multipath fading according to the present invention;
FIG. 3 is a schematic diagram of a frequency interval in which an exemplary electromagnetic wave dual-path propagation model satisfies a maximum channel loss allowance condition in an electromagnetic wave spectrum selection method for multipath fading provided by the present invention;
FIG. 4 is a schematic diagram illustrating a conventional binary root-finding method in an electromagnetic spectrum selection method;
FIG. 5 is a flow chart of a conventional binary root finding method in an electromagnetic spectrum selection method;
fig. 6 shows a general flowchart of an electromagnetic wave spectrum selection method for multipath fading provided by the present invention.
Detailed Description
Exemplary embodiments of the present disclosure will be described in more detail below with reference to the accompanying drawings. While exemplary embodiments of the present disclosure are shown in the drawings, it should be understood that the present disclosure may be embodied in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the disclosure to those skilled in the art.
It will be understood that the features of the method and apparatus described in the description and claims of the invention and in the drawings are referred to one another. Furthermore, the terms "first," "second," and the like in the description and in the claims, and in the drawings, are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used is interchangeable under appropriate circumstances such that the embodiments of the invention described herein are capable of operation in sequences other than those illustrated or described herein.
First, partial terms or terms appearing in the description of the embodiments of the present invention are applied to the following explanations:
frequency: frequency, in GHz.
Channel Loss: channel loss value in dB.
The invention adopts a method of combining a binary root-finding algorithm and the first-order derivation of the channel attenuation curve, can quickly analyze the frequency band with smaller electromagnetic wave signal loss caused by multipath fading, and provides data reference for a frequency spectrum management system.
Example 1
The main idea of the binary root-finding method is to make f (a) x f (b) less than 0 by giving two initial values a and b. Referring to FIG. 4, it can be seen that if f (x) is continuous, there is a certain value x in (a, b)0Let f (x)0) < 0 or less than a given accuracy error. From the detailed flowchart of the binary root finding method in fig. 5, it can be seen that the steps of the binary root finding method are as follows: calculating x0(a + b) ÷ 2 if f (x)0) If 0 or less than a preset maximum precision error value tol, directly returning to x0Otherwise, iteration is continued. Rule: if f (a) x f (x)0) If < 0, let b be x0Otherwise, let a equal to x0. Further, iteration number Nmax can be set as the maximum iteration number, i in fig. 5 represents the ordinal number of iteration, when the iteration number reaches the maximum iteration number Nmax, the iteration is stopped, and x is directly returned0. It should be noted that the binary root-finding algorithm is very important for selecting the initial values a and b, and an inappropriate initial value may cause problems of too long time consumption, local optimization, even incapability of convergence and the like of the binary root-finding algorithm. The relationship between the channel loss and the frequency of an electromagnetic wave signal is not monotonically increasing or decreasing, but is composed of a segment of a downward convex curve. If the traditional binary root-finding algorithm is directly used, the initial values a and b are not easy to judge, so the invention introduces a mode of solving the first derivative before the traditional binary root-finding algorithm is applied.
1: first order derivation step
When an electromagnetic wave signal is transmitted in multiple paths, the relation between the channel loss and the frequency of the electromagnetic wave signal is not a pure downward convex curve. For convenience of illustration, the present embodiment takes a typical electromagnetic wave dual-path propagation model as an example, and fig. 1 shows a graph of a function of channel loss and frequency of an electromagnetic wave signal in the typical electromagnetic wave dual-path propagation model, in which an antenna frame height of a base station is 50 meters, an antenna frame height of a mobile terminal is 1.5 meters, and a distance between transmitting and receiving antennas is 500 meters. As can be seen from fig. 1, under the condition of dual-path propagation, the relationship between the channel loss and the frequency of the electromagnetic wave signal is not monotonically increased or decreased, but is composed of a section of downward convex curve. The common theoretical functional relationship of the dual-path attenuation model is embodied as a multi-section downward convex curve, and the key point of using the binary root algorithm lies in how to quickly and effectively select the appropriate initial value a and the appropriate initial value b corresponding to each section downward convex curve.
FIG. 6 is a general flowchart of a method for obtaining a frequency interval satisfying a channel loss condition when an electromagnetic wave propagates through two paths;
in this embodiment, as shown in fig. 6, first order derivation is performed on a relation function between the channel loss and the frequency of the electromagnetic wave signal, and first order derivation is performed on a relation function f (x) between the channel loss value and the frequency of the electromagnetic wave signal, so as to obtain f' (x); wherein x is frequency, and f (x) is the channel loss value corresponding to the frequency; and then scanning the frequency points one by one. Obviously, the lowest point of the downward convex curve is the frequency point at which the first derivative of the function changes from negative to positive. By utilizing this property, the frequency corresponding to the point of lowest loss in each frequency interval can be quickly screened out.
2: obtaining the lowest loss frequency group
Sampling the frequency of the electromagnetic wave signal to obtain a frequency ascending sequence A1,A2......Ai(ii) a For the ascending sequence A of frequency1,A2......AiF' (A) is calculated one by one in the order from small to largen) Obtaining all the coincidences f (A)n) < 0 and f' (A)n+1) Frequency A > 0nIs the lowest loss frequency group and is marked as An1,An2......Ank;
Fig. 2 shows a schematic diagram of the lowest loss frequency group in the case of electromagnetic wave dual-path propagation, where the lowest loss frequency in each frequency interval in this embodiment is: 1.45GHz, which corresponds to a channel loss of 83.85 dB; 2.45GHz, which corresponds to a channel loss of 88.43 dB; 3.5GHz, which corresponds to a channel loss of 91.38 dB; 4.5GHz, which corresponds to a channel loss of 93.57 dB; 5.5GHz, which corresponds to a channel loss of 95.32 dB. The lowest frequency in each frequency interval is obtained as the lowest loss frequency group, in this embodiment, the lowest loss frequency group is (1.45GHz, 2.45GHz, 3.5GHz, 4.5GHz, 5.5GHz)
Referring back to FIG. 6, it can be noted that the algorithm of the present invention stores the lowest loss frequency set and its corresponding loss value, which represents the storage of { A ] in FIG. 6n,f(An)}. This is due to the lowest loss under the same channel conditions and its correspondenceThe calculation results of the frequency are consistent, and the frequency can be called when needed after being stored, so that the work of repeated calculation is reduced.
3: step of obtaining first initial parameter
Selecting frequency A from the lowest loss frequency groupnmFrequency AnmSatisfies f (A)nm) < maximum allowable value of channel loss LcaSetting the frequency AnmIs a reference frequency, wherein m is a positive integer and is less than or equal to k; for the ascending sequence A of frequency1,A2......AiAccording to Anm,Anm-1......A1Calculating f (A) one by one in descending ordern) Obtaining coincidence (f (A)nj+1) Maximum allowable value of channel loss Lca)×(f(Anj) Maximum allowable value of channel loss Lca) Frequency A < 0njIs a first initial parameter;
in this embodiment, the maximum allowable value L of the channel loss that the communication system can bear is presetcaAt 90dB, first, the corresponding channel loss less than the maximum allowable value L of the channel loss is selected from the above-mentioned pre-selected set of lowest loss frequenciescaThe frequencies of (2) are 1.45GHz and 2.45GHz, which are satisfactory in this embodiment, and their corresponding channel loss values are 83.85dB and 88.43dB, see the left two lower convex curves of fig. 2.
FIG. 3 is a schematic diagram of a frequency interval in which an exemplary electromagnetic wave dual-path propagation model satisfies a maximum channel loss tolerance condition, and in the exemplary electromagnetic wave dual-path propagation model provided in this embodiment, a frequency of 1.45GHz is selected as one of initial values A of a binary root-finding methodnmThe frequency is taken as a reference point, the frequency value is decreased from the reference point, and for each frequency point, the corresponding channel loss value is compared with the maximum channel loss allowable value LcaFinding the first condition that the channel loss value is larger than the maximum channel loss allowable value LcaI.e. satisfies (f (A)nj+1)-Lca)×(f(Anj)-Lca) The frequency point less than 0 is used as an initial value A of the binary root-finding methodnj。
4: step of obtaining second initial parameter
According to A to the ascending sequence of frequencynm,Anm+1......AiCalculating f (A) one by one from small to largen) Obtaining coincidence (f (A)nq-1) -said maximum channel loss allowed value Lca)×(f(Anq) -said maximum channel loss allowed value Lca) Frequency A < 0nqIs a second initial parameter;
referring back to fig. 3, in the exemplary electromagnetic wave dual-path propagation model provided in this embodiment, a frequency of 1.45GHz is selected as one of the initial values a of the binary root-finding method in the lowest-loss frequency groupnmTaking the frequency as a reference point, increasing the frequency value from the reference point, and comparing the corresponding channel loss value with the maximum channel loss allowable value L for each frequency pointcaFinding the first condition that the channel loss value is larger than the maximum channel loss allowable value LcaI.e. satisfies (f (A)nq-1)-Lca)×(f(Anq)-Lca) Frequency point of < 0 as another initial value A of the binary root-finding methodnq。
5: two-division root-finding method
A binary root-finding method step, configuring a maximum precision error value; at a reference frequency AnmAnd a first initial parameter AnjFor the initial values a and b of the binary root finding method, obtaining the initial value satisfying f (X) by using the binary root finding method to perform iterative computation0a) A first end value X with the maximum channel loss allowable value less than or equal to the maximum precision error value0a(ii) a At a reference frequency AnmAnd a second initial parameter AnqFor the initial values a and b of the binary root finding method, obtaining the initial value satisfying f (X) by using the binary root finding method to perform iterative computation0b) -a second end value X of the maximum allowed value of channel loss ≦ maximum error value of precision0b(ii) a Obtaining a frequency interval of [ X ] according with the maximum channel loss allowable value0a,X0b]。
In the step of the binary root-finding method, the maximum iteration times can be set, and when the iteration times calculated by the binary root-finding method reach the maximum iteration times, the iterative calculation of the binary root-finding method is stopped, and a calculation result is obtained. The efficiency of the binary root-finding method can be effectively improved by setting the appropriate maximum iteration times. Referring back to fig. 6, it can be noted that the maximum number of iterations is Nmax, and whether the maximum number of iterations is exceeded is determined before each iteration calculation of the binary root-finding method.
In the typical electromagnetic wave dual-path propagation model provided in the present embodiment, the reference frequency a is usednm1.45GHz and AnjAs an initial value of the binary root-finding method, iteration (total iteration times are not more than the maximum iteration times) is used for calculating and obtaining a channel loss value closest to the maximum channel loss allowable value LcaA frequency X of0aSatisfy f (X)0a)-LcaError value less than or equal to maximum precision, frequency X0aNamely, the maximum channel loss allowable value L is satisfied in a section of downward convex curve to which the frequency of 1.45GHz belongscaThe left end point of the 90dB accurate frequency interval.
At a reference frequency Anm1.45GHz and AnqAs an initial value of the binary root-finding method, iteration (total iteration times are not more than the maximum iteration times) is used for calculating and obtaining a channel loss value closest to the maximum channel loss allowable value LcaA frequency X of0bFrequency X0bNamely, the maximum channel loss allowable value L is satisfied in a section of downward convex curve to which the frequency of 1.45GHz belongscaThe right end point of the 90dB accurate frequency interval.
6: repeating the steps of obtaining the first initial parameter, obtaining the second initial parameter and the binary root-finding method, and traversing each frequency in the lowest loss frequency group to obtain all allowable values L meeting the maximum channel losscaThe precise frequency interval of (2).
Referring back to fig. 3, in the example provided in the present embodiment, the frequency intervals satisfying the channel loss condition are acquired as [1.13GHz, 1.80GHz ] and [2.29GHz, 2.66GHz ].
The embodiment of the method adopts the dual-path propagation model for simplicity and clarity of description, and the dual-path and multi-path signal propagation loss models are varied due to different environments and equipment conditions, and it can be clearly understood by those skilled in the art that the corresponding processes in the embodiment of the method can be referred to in other dual-path and multi-path signal propagation loss models, and are not analyzed one by one here.
Example 2
Further, as an implementation of the method shown in the above embodiment, another embodiment of the present invention further provides an electromagnetic spectrum selection apparatus for multipath fading. The embodiment of the apparatus corresponds to the embodiment of the method, and for convenience of reading, details in the embodiment of the apparatus are not repeated one by one, but it should be clear that the apparatus in the embodiment can correspondingly implement all the contents in the embodiment of the method.
The present embodiment implements an electromagnetic spectrum selection apparatus for multipath fading, including:
a first derivation module corresponding to the first derivation step in embodiment 1;
a lowest loss frequency group obtaining module corresponding to the step of obtaining the lowest loss frequency group in the foregoing embodiment 1;
a module for obtaining a first initial parameter, corresponding to the step of obtaining the first initial parameter in embodiment 1;
a module for obtaining a second initial parameter, corresponding to the step of obtaining the second initial parameter in embodiment 1;
a binary root-finding module corresponding to the binary root-finding step obtained in the foregoing embodiment 1;
and repeating the first initial parameter obtaining module, the second initial parameter obtaining module and the binary root finding module, traversing the lowest loss frequency group, and obtaining all frequency intervals according with the maximum channel loss allowable value.
The algorithms and displays presented herein are not inherently related to any particular computer, virtual machine, or other apparatus. Various general purpose systems may also be used with the teachings herein. The required structure for constructing such a system will be apparent from the description above. Moreover, the present invention is not directed to any particular programming language. It is appreciated that a variety of programming languages may be used to implement the teachings of the present invention as described herein, and any descriptions of specific languages are provided above to disclose the best mode of the invention.
It should be noted that the above-mentioned embodiments illustrate rather than limit the invention, and that those skilled in the art will be able to design alternative embodiments without departing from the scope of the appended claims. In the claims, any reference signs placed between parentheses shall not be construed as limiting the claim. The word "comprising" does not exclude the presence of elements or steps not listed in a claim. The word "a" or "an" preceding an element does not exclude the presence of a plurality of such elements. The invention may be implemented by means of hardware comprising several distinct elements, and by means of a suitably programmed computer. In the unit claims enumerating several means, several of these means may be embodied by one and the same item of hardware. The usage of the words first, second and third, etcetera do not indicate any ordering. These words may be interpreted as names.
Claims (6)
1. An electromagnetic spectrum selection method for multipath fading, which sets a maximum channel loss allowable value, comprising:
a first-order derivation step, namely performing first-order derivation on a relation function f (x) of the electromagnetic wave signal channel loss value and the frequency to obtain f' (x); wherein x is frequency, and f (x) is the channel loss value corresponding to the frequency;
acquiring a lowest loss frequency group, sampling the frequency of an electromagnetic wave signal to obtain a frequency ascending sequence A1,A2......Ai(ii) a For the frequency ascending sequence A1,A2......AiSubstituting the f ' (x) into the f ' (x) one by one in the order from small to large, and calculating f ' (A)n) All the coincidences f' (A) are obtainedn) < 0 and f' (A)n+1) Frequency A > 0nIs the lowest loss frequency group and is marked as An1,An2......Ank;
A step of obtaining a first initial parameter, selecting a frequency A from the lowest loss frequency groupnmSaid frequency AnmSatisfies f (A)nm) < the maximum allowable value of channel loss, setting the frequency AnmIs a reference frequency, wherein m is a positive integer and is less than or equal to k; according to A to the ascending sequence of the frequencynm,Anm-1......A1Calculating f (A) one by one in descending ordern) Obtaining satisfaction (f (A)nj+1) -said maximum channel loss allowed value x (f (A)nj) -frequency a of said maximum channel loss allowed value) < 0njIs the first initial parameter;
a step of obtaining a second initial parameter, namely, the frequency ascending sequence is processed according to Anm,Anm+1......AiCalculating f (A) one by one from small to largen) Obtaining satisfaction (f (A)nq-1) -said maximum channel loss allowed value x (f (A)nq) -frequency a of said maximum channel loss allowed value) < 0nqIs the second initial parameter;
a binary root-finding method step, configuring a maximum precision error value; at the reference frequency AnmAnd said first initial parameter AnjFor the initial value of the binary root finding method, obtaining the condition f (X) by using the binary root finding method to perform iterative computation0a) -said maximum allowed value of channel loss is less than or equal to a first end value X of said maximum error value of precision0a(ii) a At the reference frequency AnmAnd said second initial parameter AnqFor the initial value of the binary root finding method, obtaining the condition f (X) by using the binary root finding method to perform iterative computation0b) -said maximum allowed value of channel loss is less than or equal to a second end value X of said maximum error value of precision0b(ii) a Obtaining a frequency interval of [ X ] according with the maximum channel loss allowable value0a,X0b];
And repeating the step of obtaining the first initial parameter, the step of obtaining the second initial parameter and the step of the binary root finding method, traversing the lowest loss frequency group, and obtaining all frequency intervals which accord with the maximum channel loss allowable value.
2. A method of selecting the spectrum of an electromagnetic wave for multipath fading as defined in claim 1, comprising: the step of the binary root searching method is also provided with a maximum iteration number, and when the iteration number calculated by the binary root searching method reaches the maximum iteration number, the iterative calculation of the binary root searching method is stopped.
3. A method for selecting the spectrum of an electromagnetic wave for multipath fading as claimed in claim 1 or 2 wherein said step of obtaining the lowest loss frequency set further comprises storing said lowest loss frequency set an1,An2......AnkAnd said lowest loss frequency group An1,An2......AnkCorresponding set of channel loss values f (A)n1),f(An2)......f(Ank)。
4. An electromagnetic spectrum selection apparatus for multipath fading, which sets a maximum allowable channel loss value, comprising:
a first-order derivation module: is configured to perform first order derivation on a relation function f (x) of the electromagnetic wave signal channel loss value and the frequency to obtain f' (x); wherein x is frequency, and f (x) is the channel loss value corresponding to the frequency;
and a lowest loss frequency group obtaining module: is configured to sample the frequency of the electromagnetic wave signal to obtain a frequency ascending sequence A1,A2......Ai(ii) a For the frequency ascending sequence A1,A2......AiSubstituting the f '(x) obtained from the first-order derivation module one by one according to the sequence from small to large, and calculating f' (A)n) All the coincidences f' (A) are obtainedn) < 0 and f' (A)n+1) Frequency A > 0nIs the lowest loss frequency group and is marked as An1,An2......Ank;
The module for obtaining the first initial parameter comprises: configured to obtain the lowest loss frequency group and the ascending sequence of frequencies from the module for obtaining the lowest loss frequency group, and select a frequency A from the lowest loss frequency groupnmSaid frequency AnmSatisfies f (A)nm) < the maximum allowable value of channel loss, setting the frequency AnmIs a reference frequency, where m is positiveAn integer, and m is not more than k; according to A to the ascending sequence of the frequencynm,Anm-1......A1Calculating f (A) one by one in descending ordern) Obtaining satisfaction (f (A)nj+1) -said maximum channel loss allowed value x (f (A)nj) -frequency a of said maximum channel loss allowed value) < 0njIs the first initial parameter;
a module for obtaining a second initial parameter: is configured to obtain the lowest loss frequency group and the ascending sequence of frequencies from the module for obtaining the lowest loss frequency group, and obtain the reference frequency A from the module for obtaining the first initial parameternmFor the frequency ascending sequence according to Anm,Anm+1......AiCalculating f (A) one by one from small to largen) Obtaining satisfaction (f (A)nq-1) -said maximum channel loss allowed value x (f (A)nq) -frequency a of said maximum channel loss allowed value) < 0nqIs the second initial parameter;
a two-division root searching method module: is configured to obtain the first initial parameter A from the obtain first initial parameter modulenjObtaining the second initial parameter A from the module for obtaining the second initial parameternq(ii) a Configuring a maximum precision error value; at the reference frequency AnmAnd said first initial parameter AnjFor the initial value of the binary root finding method, obtaining the condition f (X) by using the binary root finding method to perform iterative computation0a) -said maximum allowed value of channel loss is less than or equal to a first end value X of said maximum error value of precision0a(ii) a At the reference frequency AnmAnd said second initial parameter AnqFor the initial value of the binary root finding method, obtaining the condition f (X) by using the binary root finding method to perform iterative computation0b) A second end value X of the maximum channel loss allowable value less than or equal to the maximum precision error value0b(ii) a Obtaining a frequency interval of [ X ] according with the maximum channel loss allowable value0a,X0b];
And repeating the first initial parameter obtaining module, the second initial parameter obtaining module and the binary root finding module, traversing the lowest loss frequency group, and obtaining all frequency intervals according with the maximum channel loss allowable value.
5. An electromagnetic spectrum selection apparatus for multipath fading as defined in claim 4, comprising: the binary root-finding module is also provided with a maximum iteration number, and when the iteration number calculated by the binary root-finding method reaches the maximum iteration number, the iterative calculation of the binary root-finding method is stopped.
6. An electromagnetic spectrum selection apparatus for multipath fading as claimed in claim 4 or 5 wherein said means for obtaining the lowest loss frequency group further comprises means for storing said lowest loss frequency group An1,An2......AnkAnd said lowest loss frequency group An1,An2......AnkCorresponding set of channel loss values f (A)n1),f(An2)......f(Ank)。
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