In this recommendation we are using Momentum Search Algorithm Rule for moving data in fixed size parcels over wireless mode with no blunders. And the selection of channel will change accordingly for higher efficiency channel selection to transfer the data without loss and the transmission of data packets having higher size will have higher efficiency and the data packet consists of 8-bit for the address of data packets, which will have the details of source 4-bit and destination 4-bit remaining contains the data to be transferred and it will transfer as static size data packets[13]. It is used to Bring down the errors and damages in the data packets. Using Momentum Search Algorithm rule the user can utilize the same degree of interference as Primary users(PU) and to transfer Higher size of data packets on higher efficiency. This proposal shows the way out in achieving the first-rate performance of Data Transmission using Cognitive Radio Network based on Momentum Search Algorithm. The data to be transferred will be scheduled according to the node availability depends on Channel strength, Level of usage and response of nodes. There will be no avoidance or error occur during the data transmission

Momentum Search Algorithm (MSA), depends on two significant material science's laws: energy protection law and active energy preservation law. It remembers a bunch of bodies called arrangement bodies for a shut framework thinking about the protection of force and active energy of masses. The bodies' n-dimensional position addresses the potential arrangements at each cycle. The mass of arrangement bodies mirrors their wellness esteem so heavier bodies are related with better arrangements. The thought is straight forward yet viable. At every emphasis, an outside body impacts independently with all arrangement bodies and moves them an arbitrary way which isn't backward with the heading toward the cycle's best arrangement. The better arrangements, which have heavier masses, are moving faster than the more terrible arrangements which are not scheduled. The mass and the speed of the outer body are diminished during every cycle. In this manner the calculation preserves two significant ideas in the heuristic algorithms: investigation and abuse. The capacity of looking through extensively the space is named investigation while the double-dealing is the capacity of finding the optima around. Here Dynamic spectrum access is a optimistic technique used[13].

Our system has the Transmitter, Receiver and SDR blocks as shown in figure.4.1.

In the vast majority of heuristic calculations, the whole population agents influence one another. Although, in the proposed MSA, there is just one power on every agent at each emphasis. Such power comes from impacting outside body independently to all specialists. This reality, in examination with, different strategies endorsed mathematically in the last segment decrease the intricacy and calculation heap of the calculation absolutely. Here the frames are scheduled and synced with the availability of nodes and our algorithm plays a crucial role and helpful in achieving the enhanced output[14]. Through our algorithm and scheduling concept we have saved lot of energies by altering the nodes shift and timing[15].

The adequacy of the proposed MSA is evaluated through a couple of standard benchmark test limits. Also, to have a reasonable correlation, numerous other streamlining strategies like GA, PSO, GSA, TLBO, GWO, GOA, SHO, and EPO are tried on the equivalent datasets.

**4.1. Momentum conservation law:**

Momentum is an idea for an item with mass mm and speed νν. It is shown by PP and characterized as follows:

**P = mνP = mν**

The above Equation shows each article will have a controllable force which is corresponding to the mass mm and speed ν. Newton's movement laws are the key laws of material science. He showed the significance of force law as an actual idea by another statement of his subsequent law. His second law expresses that the net power on a steady mass is equivalent to its force pace of progress. Since Newton's subsequent law is substantial for bodies with steady mass, the new type of Newton's subsequent law can be introduced as observes.

**F = mα = mdνdt = d(mν)/t = dP/dt**

where α is the acceleration of the body.

Besides, predictable with Newton's first law, which expresses that the net power on a body with a steady speed is equivalent to nothing, the energy of a body won't change when the net power on it is zero. This idea is known as energy protection law and can be produced for a shut framework including many bodies. As per Fig. 1a, assume a shut framework with two round bodies with mass m1m1 and m2m2 which move toward a path with speeds ν1ν1 and ν2ν2. In Fig. 1b right now of crash as per Newton's third law, F1F1 and F2F2 are two equivalent powers with inverse bearings. Their speed after a crash will be V1V1 and V2V2.

**4.2.Mathematical Calculation**:

*Step 1*:

In the initial step, a counterfeit time-discrete and shut framework is considered to shape a predetermined space for setting a set number of bodies. This space incorporates a n-dimensional arrange framework in which each point can be an answer of the issue. The hunt specialists in this space are a bunch of bodies with various masses which look for different situations in the space to arrive at the ideal situation from the underlying position.

Now, assume the characterized framework envelops m unmoving bodies with foreordained beginning positions which are introductory arrangements of the issue. In, the situation of ith body in time t is shown by Xi(t)Xi(t). For this body, the position which is in accordance with dth aspect is shown by x(d)i(t)xi(d)(t).

**Xi(t)=(x(1)i(t),… ,x(d)i(t),… ,x(n)i(t)),x(j)min ≤ x(j)i(t) ≤ x(j)max,i = 1,… ,m, j = 1,… ,nj = 1,… ,n**

*Step 2*:

A: Refreshing the mass of the arrangement bodies

Better arrangements have more mass, while the more terrible arrangements have less mass which cause them to push toward the better arrangements. Toward the start of every cycle, the accompanying condition is utilized to work out the mass of bodies. This equation depends with the understanding that the most appropriate answer has the base wellness function.

**mi(t) = fiti(t) − worst(t)/best(t) − worst(t)**

where fiti(t) is the worth of genuine capacity for Xi(t). Utilizing more mass is dispensed to the bodies with high reasonableness to arrive at the ideal point. The worth of best(t) and worst(t) is calculated.

best(t) = mini = 1,… ,mfiti(t)

worst(t) = maxi = 1,… ,mfiti(t)

In different words, for the bodies with better wellness work, more mass is designated; thus, the outer body changes the situation of each body backward to its predominance. The preferable arrangements will move more slow over the more awful ones.

B: The mass and speed of the outside body

It ought to be noticed that there are two significant ideas in the multitude based heuristic calculations: investigation and abuse. The capacity of generally looking through the space is named exploration while the abuse is the capacity of around finding the optima. To direct an elite execution to heuristic calculations, there ought to be an appropriate trade off among investigation and abuse. Albeit the majority of the multitude based heuristic calculations utilize various ways to deal with give this trade off, the new strategy which is utilized to work on the presentation of MSA to observe ideal point quick is the control of outer body power. Indeed, in essential cycles, there is a need for the calculation to incomprehensibly look through the space with enormous forces (i.e., investigation idea), while after certain emphases, the energy of outer body ought to be diminished to expand the exactness of the hunt in ideal point environmental elements (for example abuse concept).

At each emphasis, all arrangement bodies are still, and there is a different outer body in the space called outside body. Such body crashes into any remaining bodies and changes their situations toward better ones. Since we know by the progression of time, all bodies way to deal with the sub-ideal point, it is fundamental for bodies to look through the space with more modest and more exact advances. To accomplish this errand, the mass and speed of outer body decline on schedule with the greatest mass of solidarity for outside body. The mass of the outside body at cycle t is determined utilizing

**Eq : M(t) = 1 − t−1/T − 1**

where T is the most extreme number of cycles gained by the calculation. Utilizing, the mass of outside body is equivalent to 1 at the main emphasis and afterward is diminished in a consistent rate till arrives at zero at the last iteration.

The speed of the outer body ought to likewise get diminished after some time. The course of the accident should move the structure bodies to the sub-ideal point. In any case, to try not to fall in neighborhood ideal states, some arbitrary terms ought to be considered in the speed condition of the outer body. The speed of outer body is a vector whose size is equivalent to framework aspect (n). The worth of d'th speed part of the outer body which slams into i'th framework body at emphasis number t is surrendered :

**U(d)i(t) = r1⋅(1 − t−1T − 1)⋅Umax sign(x(d)best(t) − x(d)i(t))**

r1 is an irregular number with a uniform dissemination in the scope of [0,1] which gives the issue an arbitrary presentation for looking for indisputably the ideal. Umax characterized by the constraints of the issue control factors is the most extreme speed of outside body. The term (1 − t−1/T − 1)⋅ Umax uncovers that in spite of the presence of the arbitrary term, the speed of the outside body diminishes in normal when. x(d)best(t) and xi(d)(t) are the upsides of d'th aspect of the framework body with the best qualification for emphasis t and i'th framework body. The term (xbest(d)(t) − xi(d)(t)) ensures the framework bodies won't move inverse way of the most fitting reply. At the end of the day, utilizing sign capacity rather than x(d)best − x(d)

indicates that the bodies won't move toward the most intelligent reply of each emphasis exactly. In any case, they don't move in entirely different directions. Consequently, we can manage the energy of outer body to work on the exhibition of MSA. The d'th part of the outside body power which slams into i'th framework body at cycle t is given by:

**Pi(d)(t) = M(t)Ui(d)(t)**

C: working out the new situation of framework bodies after collisions

After impact with ith body at time t, by executing the power and motor energy preservation laws, the speed of bodies (V(d)i(t)) is calculated.

**M(t)U(d)i(t) = mi(t)V(d)i(t) + M(t)u(d)i(t)**

**1/2M(t)(U(d)i(t))2 = 1/2mi(t)(V(d)i(t))2 + 1/2M(t)(u(d)i(t))2 V(d)i(t) = 2M(t)/mi(t) + M(t)U(d)i(t)**

where, M(t), U(d)i(t) and u(d)i(t) are the mass of the outer body and its velocities prior and then afterward the crash. mi(t) and Vi(d)(t) are the mass of i'th framework body and its d'th aspect speed part after the collision.

Using the after crash speed of the framework bodies, their new position is achieved. It expresses that the current situation of each body is the summation of a level of its past position and a level of its speed after collision.

## xi(d)(t + 1) = xi(d)(t) + r2Vi(d)(t)

where, Vi(d)(t) is the speed of ith body in course of dth aspect in time t, and r2r2 is and discretionary number with a uniform scattering in the extent of [0,1].

*Step 3*:

The calculation proceeds until a foreordained basis is fulfilled. The pseudocode of MSA is displayed in Algorithm 1.