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    Development of Robust Signal Processing

    Techniques for Detection of UnderwaterImpact and Burst Noise

    A. R. Mohanty (PI)

    C. S. Kumar (Co-PI)

    Department of Mechanical Engineering

    Indian Institute of Technology, Kharagpur

    22nd November, 2011

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    Department of Mechanical Engineering, IIT Kharagpur

    Underwater Noise

    Outline of presentation

    Objectives of the project

    Introduction

    Experimental setups usedResults

    Future scope of work

    References

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    Department of Mechanical Engineering, IIT Kharagpur

    Underwater Noise

    Aim

    To find the characteristics of individual drops and artificially generated

    bubbles. The research work focuses on time and frequency domain analysis of

    impact of falling drops and underwater bubbles bursting to enhance the

    understanding of characteristics of rainfall measurements on water bodies.

    [Source: Acoustics and Condition Monitoring Lab Mech. Dept, IIT Kharagpur]

    3

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    Underwater Noise

    Objectives

    Passive underwater noise measurements

    Development of artificial rain gauge

    (1) Experimental generation and analysis of rain drop impact.

    (2) Experimental generation and analysis of underwaterbubble noise.

    (3) Comparative analysis of natural and artificial rain

    measurements.

    (4) Calculation of Total Rainfall Rate (TRR).

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    Underwater Noise

    Objectives (contd.)

    Active underwater noise measurements

    (1) Generation of Square pings and study effects of

    reflections from tank bottom and side walls.

    (2) Applicability of Maximum Length Sequence signals(MLS) for underwater acoustics.

    (3) Comparison of various Time Delay Estimation (TDE)

    methods using MLS signals .

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    Underwater Noise

    PASSIVE UNDERWATER

    MEASUREMENTS

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    Underwater Noise

    Introduction

    Underwater rain noise consists of two components viz., noise

    due to impact and entrained bubble oscillation noise.

    Generation of underwater bubbles

    - Natural (Natural rain, Benthic zone, breaking of waves)

    - Artificial (Cavitation, artificial rain generation, air hose

    underwater)

    Mechanism of bubble formation and underwater noise

    - Impact of rain drop on water surface- Collapses creating noise (splat)

    - Subsequent formation of a bubble underwater

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    Department of Mechanical Engineering, IIT Kharagpur

    Underwater Noise

    Underwater Noise from a single drop

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    (a) Rain signal (b) Impact noise (c) Bubble generated noise

    [Source: Acoustics and Condition Monitoring Lab Mech. Dept, IIT Kharagpur]

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    Introduction (contd.)

    When a bubble is created, the pressure is not in equilibrium with its

    surroundings.

    Water pushes against the bubble thereby compressing it.

    As the bubble shrinks, the air inside expands rapidly altering the equilibrium

    again.

    The bubble thus oscillates between high and low pressure at high frequency

    creating a distinctive sound.

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    Underwater Noise

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    Underwater bubble entrainment is a random process.

    Rain drops can be classified as small (0.8-1.2 mm), medium (1.2-2.0 mm) and

    large (>2 mm) drops.

    Rain drops larger than 6 mm rarely exist in nature.

    Small raindrops are remarkably loud because they generate bubbles with

    every splash. Medium raindrops do not generate bubbles and are therefore

    surprisingly quiet. Large raindrops trap larger bubbles, which produce sound

    frequencies as low as 1 kHz.

    Introduction (contd.)

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    1. Experimental setup and procedurefor measuring drop impact

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    Underwater Noise

    Set up for drop generation

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    Underwater Noise

    Drop size measurement

    [Source: Acoustics and Condition Monitoring Lab Mech. Dept, IIT Kharagpur]

    2mm drop 4mm drop 6mm drop

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    Underwater Noise

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    Measurement Setup of Underwater noise

    [Source: Acoustics and Condition Monitoring Lab Mech. Dept, IIT Kharagpur]

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    Experimental Procedure

    A total of nine experiments (three for each drop size) were

    conducted with 2mm, 4mm and 6mm drops.

    For each experiment, time history signal data was recordedfor 0.250 sec.

    The data was then analyzed in both time domain as well as

    in the frequency domain.

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    Underwater Noise

    Time domain analysis of water drops

    Drop size vs

    RMS

    Drop size vs

    KurtosisDrop size vs RMS*

    Kurtosis

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    Underwater Noise

    Frequency analysis of water drops

    0 2000 4000 6000 8000 10000 12000 14000 16000 180000

    500

    1000

    1500

    2000

    2500

    3000

    3500

    Frequency of 6 mm drop (Hz)

    Pressure

    (pa)

    5898

    Hz

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    Underwater Noise

    Spectrograms of water drops

    6mm drop

    Time s

    Frequency(H

    z)

    0 0.05 0.1 0.15 0.20

    2000

    4000

    6000

    8000

    10000

    12000

    14000

    16000

    18000

    -60

    -40

    -20

    0

    20

    40

    60

    80

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    Underwater Noise

    Results (Experiment 1)

    Generation of drop of 2 mm, 4 mm and 6 mm sizes isconsistent and having very good repeatability with thepresent experimental setup.

    The pressure variation range has been observed highestin a drop impact if the bubbles formation takes place.

    As the drop size increases, the range of pressurevariation, kurtosis and RMS, RMS*Kurtosis valueswere found to increase linearly.

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    Results (contd.)

    The frequency of drop impact decreases as the drop sizeincreases.

    The frequencies of bubble bursting are observed fromspectrum and spectrogram analysis to vary from 4000Hz to 14000 Hz.

    The frequencies of bubble bursting also depends onbubble size, turbulence of bubbles underwater and thedepth at which it is generated.

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    2. Experimental setup and procedure

    for measuring underwater bubble

    oscillations

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    Underwater Noise

    Experimental setup for artificial generation

    of bubbles

    [Source: Acoustics and Condition Monitoring Lab Mech. Dept, IIT Kharagpur]

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    Underwater Noise

    Results (contd.)

    The frequency of underwater bubble oscillation is givenby Minnaret [10]:

    Where,

    f is the resonance frequency of bubble

    a is the drop size,

    = 1.4 is the ratio of specific heat for airP is the atmospheric pressure

    is the density of water

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    P

    af3

    2

    1

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    Frequency analysis of bubble oscillations

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    Bubble of sizes 0.5 to 2 mm Bubble of size 2 mm Bubble of size 3 mm

    Bubble of size 4 mmBubble of size 6 mm

    Bubble of size 5 mm

    [Source: Acoustics and Condition Monitoring Lab Mech. Dept, IIT Kharagpur]

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    Underwater Noise

    Resonating Frequencies of

    Underwater Bubbles

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    Underwater Noise

    Comparison between Theoretical and

    Experimental Resonating Frequencies of Bubbles

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    Underwater Noise

    Spectrograms of underwater bubbles bursting

    Time (s)

    Frequency(H

    z)

    0 0.05 0.1 0.15 0.20

    2000

    4000

    6000

    8000

    10000

    12000

    14000

    16000

    18000

    -20

    0

    20

    40

    60

    80

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    Underwater Noise

    Spectrum of underwater bubbles bursting

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    Underwater Noise

    Results (Experiment 2)

    Generation of underwater bubbles of various sizes is consistent andhaving very good repeatability with the present experimental setup.

    Resonating frequencies of bubble analysis are similar to thetheoretically calculated results, with a slight deviation for smallerbubbles (< 2mm).

    This deviation is due to the shorter life span and limitation ofmeasurement technique for bubbles less than 1mm in diameter.

    Underwater Bubbles of 2mm size are mostly formed in all types ofrain.

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    Underwater Noise

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    3. Experimental setup and procedure

    for measuring natural and artificialRain Drop

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    Underwater Noise

    Experimental Setup for Natural and

    Artificial Rain

    Artificial Rain by hose ( 1- 5 mm)

    Natural rain Artificial rain by shower head ( 1- 2 mm)

    Artificial rain by tray of uniform drops

    ( approx. 5 mm)

    31

    [Source: Acoustics and Condition Monitoring Lab Mech. Dept, IIT Kharagpur]

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    Underwater Noise

    Time History Graph

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    Underwater Noise

    Spectra of Natural and Artificial Rains

    0 1000 2000 3000 4000 5000120

    140

    160

    180

    200

    220

    240

    260

    280

    300

    Spectra of natural rain (Hz)

    dB

    /ref.1u

    pa

    0 1000 2000 3000 4000 5000120

    140

    160

    180

    200

    220

    240

    260

    280

    Spectra of artificial rain by Hose(Hz)

    dB/

    ref.1u

    pa

    0 1000 2000 3000 4000 5000140

    160

    180

    200

    220

    240

    260

    280

    Spectra of artificial rain by tray of uniform drop(5 mm) (Hz)

    dB/

    ref.1u

    pa

    0 1000 2000 3000 4000 5000120

    140

    160

    180

    200

    220

    240

    260

    280

    Spectra of artificial rain by Shower head (Hz)

    dB/

    ref.1u

    pa

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    Results of Time Domain Analysis of

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    Underwater Noise

    Results of Time Domain Analysis of

    Natural and Artificial Rains

    Rain types maximum minimum Range Mean RMS Variance Std Skew Kurtosis rk=rms*kurt

    1. Natural rain 291.96 -290.64 582.6 0.03 180.07 32426.74 180.07 -0.002 1.36 244.78

    2. Artificial rain by

    hose361.08 458.13 819.21 -0.002 35.1 1232.04 35.1 0.07 3.53 124.23

    3, Artificial rain byshower head

    322.98 -317.21 640.19 -0.01 38.13 1454.26 38.13 0.02 4.08 155.88

    4. Artificial Rain

    drops ( 5 mm)

    1608.68 -945.56 2554.25 -0.04 51.19 2620.19 51.19 0.58 16.86 863.03

    35

    R lt f Ti D i A l i f

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    Underwater Noise

    Results of Time Domain Analysis of

    Natural and Artificial Rains

    Legend

    NR- Natural Rain,

    AR Hose- artificial Rain by hose (1-5 mm)

    AR Sh- Artificial rain by Showerhead drop size (1-2 mm)

    AR Ud5- Artificial Rain of uniform drops (5 mm )

    36

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    Underwater Noise

    Results (Experiment 3)

    Large bubbles, above 10 mm in diameter, are not much useful

    for underwater rain noise measurement as they have low

    resonating frequencies (< 500Hz).

    Underwater bubbles of 2mm diameter are mostly formed,

    resulting in a corresponding 4 kHz peak in the spectra of all

    types of rain.

    During heavy rainfall, lower frequency peaks (less than 4

    KHz) are always formed due to generation of large underwater

    bubbles. 37

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    Underwater Noise

    Results (Experiment 3)

    During light rainfall, higher frequency peaks (up to 20 kHz)

    are usually formed.

    Strong signals of Frequencies 3500-4500 Hz can be observedin Natural and Artificial rains from FFT Spectra.

    As the size of drop decreases, the frequencies of entrainment

    increases; it can be seen in FFT spectrum and Spectrogram of

    artificial rain by showerhead where drops size was 1-2 mm

    diameter only.

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    Underwater Noise

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    4. Calculation of Total Rainfall Rate

    (TRR)

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    Total Rainfall Rate (TRR)

    TRR in mm/hr can be calculated by[2]

    TRR= 6.10-4D D3VT(D)N(D)dDwhere

    D is rain drop size (mm),

    VT is terminal velocity (m/s),

    N(D) is the rain drop size distribution

    N(D) can be found by a Disdrometer or by acousticinversion methods.

    40

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    5. Conclusions

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    Underwater Noise

    Conclusions

    Sources of underwater sound of rainfall are impact sound and

    pulsations of entrained bubble.

    Impact sound depends upon drop size, impact speed and drop

    shape.

    Small bubbles (0.8-1.2mm) produce sound both due to impact

    and bubble oscillations in the range of 13-20 KHz.

    Tiny bubbles (< 0.8mm) and medium bubbles (1.2-2mm)

    produce relatively weak sound which is mainly due to impact.

    42

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    Underwater Noise

    Conclusions (contd.)

    Large bubbles (> 2mm) produce sound both due to impact and

    bubble oscillations in the range of 1-30 KHz.

    Maximum rain drop sizes found in atmosphere are till 5mm.

    Rain drops of 2 mm size are commonly found in all types of

    rainfall resulting in prominent peak at 14 KHz.

    The frequency of drop impact decreases as the drop size

    increases.

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    Underwater Noise

    Conclusions

    Underwater bubbles of 2mm diameter are mostly formed, resulting

    in a corresponding 4 kHz peak in the spectra of all types of rain.

    Large bubbles, above 10 mm in diameter, are not much useful for

    underwater rain noise measurement as they have low resonating

    frequencies (< 500Hz).

    As the size of drop decreases, the frequencies of entrainment

    increases; it can be seen in FFT spectrum and Spectrogram of artificial

    rain by showerhead where drops size was 1-2 mm diameter only.

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    ACTIVE UNDERWATER

    MEASUREMENTS

    E i t l S t f U d t

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    Experimental Setup for Underwater

    Time Delay Estimation

    [Source: Acoustics and Condition Monitoring Lab Mech. Dept, IIT Kharagpur]

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    Experimental Procedure for Square Ping

    Two square waves of 20 kHz and 100 kHz were generated for

    conducting this experiment

    20 kHz and 100 kHz square ping of 4ms with a spacing

    .0000125 sec was generated

    The generated signals were then passed through the

    experimental set up.

    The time histories of the input and output signals were then

    recorded using data recorder

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    Calculate the time taken for the input signal to reach the

    receiver hydrophone.

    S = C * (del t/2)Del t= 2S/C=0.44/1500= 0.29 ms

    where

    C= speed of sound in water

    Mathematical calculation of time delay in

    under water transmitting and receiving signal

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    Underwater Noise

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    0 1 2 3 4 5

    [s]

    -0.8

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8Cursor values

    X: 4.994 s

    Y: -13.157m

    Signal2 (Real)

    0 1 2 3 4 5

    [s]

    -24m-16m

    -8m

    0

    8m

    16m

    24mCursor values

    X: 4.983 s

    Y: -1.033m

    Signal1 (Real)

    Time domain analysis of Square Ping

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    Time domain analysis of Square Ping

    0.24 0.244 0.248 0.252 0.256 0.26 0.264 0.268

    [s]

    -24m

    -20m

    -16m

    -12m

    -8m

    -4m

    0

    4m

    8m

    12m

    16m

    20m

    24m

    Cursor values

    X: 0 s

    Y: -0.989m V

    Signal 6 (Real)

    0.24 0.244 0.248 0.252 0.256 0.26 0.264 0.268[s]

    -0.4

    -0.35

    -0.3

    -0.25

    -0.2

    -0.15

    -0.1

    -50m

    0

    50m

    0.10.15

    0.2

    0.25

    0.3

    0.35

    0.4

    0.45Cursor values

    X: 0 sY: 36.342m V

    Signal 7 (Real)

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    Maximum length sequence (MLS) is a type of pseudorandom binary sequence.

    MLS are bit sequences generated using maximal linear feedback shift registers

    because they are periodic and reproduce every binary sequence that can be

    reproduced by the shift registers.

    For length-m registers MLS signal produce a sequence of length

    (2m 1) registers.

    MLS is also sometimes called a n-sequence or a m-sequence.

    MLS signals MLS measurements have a very high Signal/Noise ratio. The

    cross-correlation used to compute the impulse response reduces all background

    noise (uncorrelated with MLS), so that measurements can be performed also in

    noisy environments.

    Maximum Length Sequence Signal

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    MLS Signal Properties

    0 0.5 1 1.5 2 2.5 3 3.5

    x 104

    0

    0.5

    1Original MLS signal(m=15)

    0 0.5 1 1.5 2 2.5 3 3.5

    x 104

    -5

    0

    5MLS signal with random signal

    0 1 2 3 4 5 6 7

    x 104

    -1

    0

    1

    cross correlation

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    Experimental Procedure for MLS Signal

    The generation and recording of Maximum length sequence (MLS) signal

    of same length at different sampling frequencies.

    The generated signals were then passed through the experimental set up.

    The time histories of the input and output signals were then recordedusing data recorder.

    MLS signals of length 32767 (m=15) and sampling frequency of 44100 Hz

    was used for the finding the time delay.

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    MLS Measurement Flow chart

    [Source: MLS Impulse Response Measurement for Underwater Bottom Profiling [18]]

    Underwater Time Delay Estimation

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    Underwater Time Delay Estimation

    using MLS signals

    30 cm

    55 cm

    95 cm

    25 cm

    Direct Measurement.

    S = C * (del t);

    Del t= S/C=0.30/1500= 0.2 ms

    = 200 us

    Bottom reflected Measurement.

    S = C * (del t/2);

    Del t= 2S/C=0.44/1500= 0.733 ms

    = 734 us

    Direct Measurement.

    S = C * (Del t);

    Del t= S/C=0.95/1500= 0.633 ms

    =634 us

    Bottom reflected Measurement.

    S = C * (Del t/2);

    Del t= 2S/C=0.44/1500= 0.333 ms=

    334 us

    Case 1 Case 2

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    Case 1

    Direct

    measurement

    at 200us

    Bottom

    Reflections

    at 750us

    Side wall

    Reflections

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    Case 2

    Bottom

    Reflections

    at 350us

    Direct

    measurement

    at 670us

    Side wall

    Reflections

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    Cross Correlation -Matlab

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8-400

    -200

    0

    200

    400

    Time (s)

    58

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    Generalized Cross Correlation (GCC) -Matlab

    Rr1r2() = p(f) Gr1r2(f) ej2ft df

    where,

    Gr1r2(f) is cross spectrum

    p(f) is PhaseTransform(PHAT) weighting

    function

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    Various Weighting Functions

    Roth auto correlation

    SCOT filter

    CPS-m

    Where n= 0.5 to 0.75

    ))((*)(

    1)(

    fSjconjfSif

    n fSjconjfSjfSiconjfSif

    ))((*)(*))((*)(

    1)(

    ))((*)(*))((*)(

    1)(

    fSjconjfSjfSiconjfSif

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    TDE with Weighting Functions -Matlab

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    Future Scope of work

    W Ah d

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    Way Ahead

    Passive underwater noise measurements

    - Acoustic Inversion method for estimation of drop size

    distribution.

    Active Underwater noise measurements

    - Underwater imaging of objects using MLS signals.

    63

    References

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    Best Research paper Award

    Srinivas Garimella , M. L. Chandravanshi, and A. R. Mohanty,

    Characteristics of Underwater Bubble Noise, Proceedings ofNational Symposium on Acoustics,2011, Jhansi, Nov 17 to 19, 2011.

    Papers pending for Publication

    (1) Srinivas Garimella , M. L. Chandravanshi, and A. R. Mohanty,

    Underwater Noise Spectra of Rainfall-An Analysis .

    (communicated to JASA)

    (2) Srinivas Garimella , S. Fatima, and A. R. Mohanty,UnderwaterTime Delay Estimation Techniques with Maximum Length

    Sequence Signals . (under preparation)

    Conference Publication

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    THANK YOU