et us assume that $A_{ij}$ is the power received (expressed in dBm)by the frequency band $F_{i}$ at the time $T_{j}$. We have represented the data collected during our spectrum measurement by using a N $ imes$ M matrix designed by L. The matrix L is defined as:
%%%%%%%%%%%%%%%%%%%%%%%%%%
[ L = [A(F_i,T_j)]= egin{bmatrix} A_{F_1T_1} & A_{F_2T_1} & cdots & A_{F_nT_1} \
A_{F_1T_2} & A_{F_2T_2} & cdots & A_{F_nT_2}\ vdots & vdots & ddots & vdots \
A_{F_1T_m} & A_{F_2T_m} & cdots & A_{F_nT_m} end{bmatrix}
]
Where i=1,2, $cdots$, n and j=1,2, $cdots$, m.
%$F_{start} leg F_{i} leg F_{stop}; i=1,2, cdots, n$
%$T_start leg T_{j} leg T_stop; j=1,2, cdots, m$
In order to determine the occupancy of a spectrum $F_i$, we have first to*…show more content…*

C is the matrix of classification and it is defined as follows. $C=[A_c(F_i,T_j)]$ where $A_c(F_i,T_j)$ is obtained by applying the hypothesis test described in equation ef{eq:hypothesistest}. egin{equation} label{eq:hypothesistest} A_c(F_i,T_j)= egin{cases} 1 & quad ext{if} quad A(F_i,T_j) geq lambda \ 0 & quad ext{if} quad A(F_i,T_j) <lambda \ end{cases} end{equation}. Step 2. This step describes the computation done in order to find the duty cycle of data taken during a specific interval of time and the duty cycle of the each frequency band for a specific interval of time. Step 2.1. Let us denote by D the duty cycle of the overall data taken during the spectrum monitoring. egin{equation} label{Genral duty cycle} DC=frac{sum_{i=1}^n sum_{j=k}^q A_c(F_i,T_j)}{n imes (r-k+1)} end{equation} Step 2.2. This step describes the computation done in order to find the duty cycle of each frequency point for a specific interval of time. egin{equation} label{frequency i duty cycle} DC_{f_{i}} =frac{sum_{j=k}^q A_c(F_i,T_j)}{r-k+1}

C is the matrix of classification and it is defined as follows. $C=[A_c(F_i,T_j)]$ where $A_c(F_i,T_j)$ is obtained by applying the hypothesis test described in equation ef{eq:hypothesistest}. egin{equation} label{eq:hypothesistest} A_c(F_i,T_j)= egin{cases} 1 & quad ext{if} quad A(F_i,T_j) geq lambda \ 0 & quad ext{if} quad A(F_i,T_j) <lambda \ end{cases} end{equation}. Step 2. This step describes the computation done in order to find the duty cycle of data taken during a specific interval of time and the duty cycle of the each frequency band for a specific interval of time. Step 2.1. Let us denote by D the duty cycle of the overall data taken during the spectrum monitoring. egin{equation} label{Genral duty cycle} DC=frac{sum_{i=1}^n sum_{j=k}^q A_c(F_i,T_j)}{n imes (r-k+1)} end{equation} Step 2.2. This step describes the computation done in order to find the duty cycle of each frequency point for a specific interval of time. egin{equation} label{frequency i duty cycle} DC_{f_{i}} =frac{sum_{j=k}^q A_c(F_i,T_j)}{r-k+1}

Related

- Good Essays
## Nt1310 Unit 4 Lab Report

- 603 Words
- 3 Pages

Suppose we have a single-hop RCS where there is one AF relay that amplifies the signal received from a transmitter and forwards it to a receiver. Assume that the transmitter sends over the transmitter-to-relay channel a data symbol ${s_k}$, from a set of finite modulation alphabet, $S={S_1, S_2,ldots,S_{cal A}}$, where ${cal A}$ denotes the size of the modulation alphabet. The discrete-time baseband equivalent signal received by the relay, $z_k$, at time $k$ is given by egin{equation} z_k = h_{1,k}s_k + n_{1,k},~~~~for~~k=1,2,ldots,M label{relaySignal} end{equation} where $n_{1,k}sim {cal N}_c(0,sigma_{n1}^2)$ is a circularly-symmetric complex Gaussian noise added by the transmitter-to-relay channel, $h_{1,k}$ denotes the transmitter-to-relay channel, and

- 603 Words
- 3 Pages

Good Essays - Satisfactory Essays
## Nt1310 Unit 5 Circuit Summary

- 151 Words
- 1 Pages

Measure the capacitance of the coaxial cable(*10 probe) 2. Determine Ra and Rb to meet the amplitude and Tau. 3. Connect the circuit as shown in Fig. 2 4. Switch the oscilloscope to 50 kHz square wave, 11 peak-to-peak voltage.

- 151 Words
- 1 Pages

Satisfactory Essays - Good Essays
## Nt1310 Unit 5 Assignment 1

- 687 Words
- 3 Pages

From these functions, the required data needed was inclination, angular velocity and linear acceleration. For inclination, we directly used the Euler vector function which gives data in 0-359 ͦ. For angular velocity, vector gyroscope function was used. This function directly gives data in rad⁄sec which was required for finding angular velocity of the sensor. Finally, for linear acceleration, function called vector linear acceleration was used. Figure below shows the VECTOR-EULER function used for getting the required inclination values from the sensor.

- 687 Words
- 3 Pages

Good Essays - Good Essays
## Episodic Memory Theory

- 1000 Words
- 4 Pages

An episode can be recognized based on the selected node in F3 layer and can be reproduced by a readout process. The corresponding events can be read out from F2 to F1 layer. Thus encoding, storing and retrieval of events is performed based on computational principles and

- 1000 Words
- 4 Pages

Good Essays - Better Essays
## Academic Integrity And Plagiarism Essay

- 835 Words
- 4 Pages

The mesh is created using the default values for this problem as specified in the manual . First layer height is set to 0.0001m. By pressing the update button a mesh is now formed on the geometry. The final step of the analysis is to define the setup including the inputs and outputs of the system. For models the setting is set as viscous and laminar flow.

- 835 Words
- 4 Pages

Better Essays - Good Essays
## Principle Of Chromatography Essay

- 977 Words
- 4 Pages

The width of bands increases as the retention time (volume) increases. 3.2.2. THE RATE THEORY OF CHROMATOGRAPHY This theory describes the actual process going on inside the chromatographic column with respect to the time taken for the solute to equilibrate between the stationary and mobile phase. The kinetic effect depends upon how much time the mobile phase spends in contact with the stationary phase.

- 977 Words
- 4 Pages

Good Essays - Satisfactory Essays
## Big Bertha Quadratics

- 290 Words
- 2 Pages

The path of the shell is represented by y=-0.0196x²+1.37x. The variable “y” represents the height of the shell and “x” represents the

- 290 Words
- 2 Pages

Satisfactory Essays - Better Essays
## Sinus Tachycardia Case Study

- 799 Words
- 4 Pages

The CWT can be expressed as Inverse Continuous Wavelet Transform: CWT is highly redundant since 1-dimensional function x(t) is transformed into 2-dimensional function. Therefore, it is discretize to some suitably chosen sample grid. The is called as dyadic sampling: s=2-j, τ = k2-j. By using the dyadic sampling we can reconstruct exactly the signal

- 799 Words
- 4 Pages

Better Essays - Satisfactory Essays
## The Pros And Cons Of Chemical Changes

- 832 Words
- 4 Pages

In this example we will use the rate equation . The rate equation: is the rate which a chemical A transforms into a second chemical B is proportional to the amount Q of A remaining untransformed at time t , DE= dQ/dt=KQ , K>0 Data: A + 4B → C x(t):g X(0)

- 832 Words
- 4 Pages

Satisfactory Essays - Good Essays
## Unit 3.1 Lab Report

- 282 Words
- 2 Pages

Another form of |γ_m (t,m;m_m )| may be more useful. First we need to define the lower bound and upper bound of magnitude of aftershock (m_l and m_u). Then the exponential part in equation 3.3 can be transferred.

- 282 Words
- 2 Pages

Good Essays - Good Essays
## Nt1310 Unit 1 Exercise 1

- 655 Words
- 3 Pages

This polymorphic instance generates Fibonacci pseudonoise (PN) bit sequences. The selected pattern is repeated until the user-specified number of total bits is generated. Use this instance to specify a PN sequence order based on which the VI selects a primitive polynomial that returns an m-sequence. Use this instance to specify the primitive polynomial that determines the connection structure of the linear feedback shift register (LFSR). total bits specifies the total number of pseudorandom bits to be generated.

- 655 Words
- 3 Pages

Good Essays - Satisfactory Essays
## NT1330 Unit 3 Assignment 1

- 443 Words
- 2 Pages

The knowledge base consists of a collection of fuzzy if-then rules of the following form: $R^{l}$: if $x_1$ is $F_1^{l}$ and $x_2$ is $F_2^{l}$ and $ldots$ and $x_n$ is $F_n^{l}$, then is $G^{l},~l=1,2, cdots ,n$, where $x=[x_1,cdots,x_i]^{T}$ and $y$ are the FLS input and output, respectively. Fuzzy sets $F_i^{l}$ and $G^{l}$, associated with the fuzzy functions $mu_{{F_i}^{l}}(x_i)$ and $mu_{{G}^{l}}(y)$, respectively. $N$ is the rules inference number. \Through singleton function, center average defuzzification and product inference cite{shaocheng2000fuzzy}, the FLS can be expressed as: For any continuous function $f(x)$ defined on a compact set $Omegain R^n$, there exists a fuzzy system $y(x) = heta ^T

- 443 Words
- 2 Pages

Satisfactory Essays - Better Essays
## Nt1330 Unit 1 Program Analysis

- 1580 Words
- 7 Pages

If user inputs number greater than 13,000 for the network size, then program displays following error messages in the command window: `Extremely large network size. ' `Use numbers less than 13000 for network size '. The minimum and the maximum values of the proportion of nodes of type 1 are given by input parameters q1min and q1max respectively. The program

- 1580 Words
- 7 Pages

Better Essays - Good Essays
## Nt1330 Unit 3 Assignment Code

- 470 Words
- 2 Pages

\subsection{Creation of Matching Entries ({\it MakeMatchingEntries'})} \label{sec:make-matching} \label{sec:match} Procedure ${\it MakeMatchingEntries'}$ takes a decoding entry set and a pattern as input and outputs a newly created set that contains the entries that match the input pattern. Note that not every entry in the newly created set is the same entry in the input entries because the exclusion conditions were modified. The exclusion conditions that are invalidated by the input pattern are removed from the exclusion condition set of output entries. In addition, when all the matching patterns are invalidated, the unmatching patterns are expanded to their opcode patterns. Procedure ${\it MakeMatchingEntries'}$ consists of the following

- 470 Words
- 2 Pages

Good Essays