By Thyagaraju Damarla

ISBN-10: 3319160354

ISBN-13: 9783319160351

This publication provides all points of situational knowledge utilizing acoustic indications. It begins through offering the technology at the back of knowing and interpretation of sound signs. The publication then is going directly to supply a variety of sign processing ideas utilized in acoustics to discover the path of sound resource, localize gunfire, tune cars and become aware of humans. the required mathematical heritage and numerous class and fusion concepts are awarded. The ebook includes majority of the issues one would have to method acoustic indications for all elements of situational knowledge in a single position. The e-book additionally offers array conception, that's pivotal to find the path of arrival of acoustic indications. moreover, the booklet provides strategies to fuse the knowledge from a number of homogeneous/heterogeneous sensors for greater detection. MATLAB code is equipped for majority of the true software, that is a worthy source in not just knowing the speculation yet readers may also use the code as a spring-board to advance their very own program established software program code.

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**Example text**

F is said to be strictly convex if the inequality is strict. Theorem 1 (Jensen’s inequality): Let f be a convex function defined on an intern λi = 1, val I . If x1 , x2 , . . , xn ∈ I and λ1 , λ2 , . . , λn ≥ 0 with i=1 n n λi xi f i=1 λi f (xi ). 38) i=1 Proof: The proof is a straightforward application of the definition given above. Theorem 2: Let L(θ) = log p (y|θ) be the log-likelihood function. For θ ∈ Θ, if Q θ|θ(k) ≥ Q θ(k) |θ(k) , then L(θ) ≥ L θ(k) . 40) where we used the fact that y = T (x) and is deterministic.

Some of the effects on sound waves due to refraction are shown in Fig. 7. The refraction is caused due to the temperature change with height. If the receiver is in a shadow region (see Fig. 7), it will not receive the sound transmitted by the source. For the case where the speeds of the sounds are discontinuous, as shown in Fig. 18) The above equation is for discrete speeds in the media. However, in the atmosphere, the temperature change is not discrete, rather it is continuous, hence, the speed of the sound is also continuous.

8, γ2 < γ1 , which corresponds to the case c2 > c1 , where the atmosphere is called a downward 54 5 Atmospheric Acoustics refracting atmosphere. On the other hand, if γ2 > γ1 and c2 < c1 , the atmosphere is considered an upward refracting atmosphere. Effective Sound Speed So far we have assumed a non-moving atmosphere; however, there may be a wind preset moving at a certain speed. 20) ceff (z) = c(z) + u(z), where u(z) is the component of the wind velocity in the direction of the sound propagation.

### Battlefield Acoustics by Thyagaraju Damarla

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