---
# System prepended metadata

title: REPORT ON THE ERROR IN PRESSURE AND VELOCITY ALONG FREQUENCY RANGE FOR EACH MICROPHONE

---

# REPORT ON THE ERROR IN PRESSURE AND VELOCITY ALONG FREQUENCY RANGE FOR EACH MICROPHONE

## RESULTS OF THE TEST RIG USING MMM (MULTI MICROPHONE METHOD)

* The microphones are kept at axial locations as follows
  $x_1$ = 220mm
  $x_2$ = 380mm
  $x_3$ = 510mm
  $x_4$ = 620mm
  $x_5$ = 700mm (all the distances are measured from the source i.e, speaker)
  
* The tube (test rig) is of length $1mm$

### PLOTS ON ERROR IN PRESSURE AND VELOCITY ALONG FREQUENCY RANGE

* the error in pressure and velocity is plotted for the frequency range ($f=250Hz-2500Hz$)
* in all cases percentage error in pressure and velocity is plotted for the frequency range
* the predicted value of pressure and velocity are also plotted for the frequency range
 ($f=250Hz-2500Hz$) and time ($t=10,30,50sec$)
* the pressure and velocity are calculated using 
  - Pressure  $$ P(f) = P_+(f)exp(-ikx) + P_-(f)exp(ikx) $$
  - where $P_+(f)$ and $P_-(f)$ = pressure amplitudes of incident and reflected waves
  - Velocity $$ U(f) = U_+(f)exp(-ikx) - U_-(f)exp(ikx) $$
  - where $U_+(f)$ and $U_-(f)$ = pressure amplitudes of incident and reflected waves
   $$U_+(f) = \frac{P_+(f)}{\rho_0c_0}$$$$U_-(f) = \frac{P_-(f)}{\rho_0c_0}$$
  - where $\rho_0$ = density of medium (air)
     $c_0$ = speed of sound in medium (air)
* desired frequency range = $250Hz-2500Hz$

### WITH FOAM AT SPEAKER END

#### Chirp signal with amplitude 1mV, frequency from 250Hz-2500Hz and time 50sec

##### plot of error and predicted pressure vs frequency range

##### mic1

* the plot of predicted pressure along frequency range for mic1
![](https://i.imgur.com/6dCCnPg.jpg)

* the plot of error in pressure along frequency range for mic1
![](https://i.imgur.com/ANQSxNJ.jpg)

##### mic2

* the plot of predicted pressure along frequency range for mic2
![](https://i.imgur.com/um32P3c.jpg)

* the plot of error in pressure along frequency range for mic2
![](https://i.imgur.com/ZSZbxf5.jpg)


##### mic3

* the plot of predicted pressure along frequency range for mic3
![](https://i.imgur.com/um32P3c.jpg)

* the plot of error in pressure along frequency range for mic3
![](https://i.imgur.com/CdO4fNl.jpg)

##### mic4

* the plot of predicted pressure along frequency range for mic4
![](https://i.imgur.com/6Epp5MW.jpg)

* the plot of error in pressure along frequency range for mic4
![](https://i.imgur.com/VZo69C0.jpg)

##### mic5

* the plot of predicted pressure along frequency range for mic5
![](https://i.imgur.com/g1UREB1.jpg)

* the plot of error in pressure along frequency range for mic5
![](https://i.imgur.com/frf0fQt.jpg)

##### plot of error and predicted velocity vs frequency range

##### mic1

* the plot of predicted velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/O1zhsQ4.jpg)

* the plot of error in velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/8IcQXny.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/6AsjYxo.jpg)

* the plot of error in velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/Ywjtt5r.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/XYMqyxG.jpg)

* the plot of error in velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/bleGmV3.jpg)

##### mic2

* the plot of predicted velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/qM8Gb0d.jpg)

* the plot of error in velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/MIeILNN.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/95FPTYT.jpg)

* the plot of error in velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/MYZYScy.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/Nk5Xs76.jpg)

* the plot of error in velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/6sAG05Y.jpg)

##### mic3

* the plot of predicted velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/KiUeSEQ.jpg)

* the plot of error in velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/KOsHIdF.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/czZoxRH.jpg)

* the plot of error in velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/ovFMXtf.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/HDVQtpI.jpg)

* the plot of error in velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/dwPXAct.jpg)

##### mic4

* the plot of predicted velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/wmBNu9e.jpg)

* the plot of error in velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/yrQZoP3.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/1Hxn7Qd.jpg)

* the plot of error in velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/09Y3p2J.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/tp1Hy3R.jpg)

* the plot of error in velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/ceBkfF0.jpg)

##### mic5

* the plot of predicted velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/xBBQm6w.jpg)

* the plot of error in velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/TfO05wi.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/2MEHMt1.jpg)

* the plot of error in velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/NnWJIQn.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/yhv2htG.jpg)

* the plot of error in velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/yP9HqHf.jpg)

#### Chirp signal with amplitude 2mV, frequency from 250Hz-2500Hz and time 50sec

##### plot of error and predicted pressure vs frequency range

##### mic1

* the plot of predicted pressure along frequency range for mic1
![](https://i.imgur.com/TEXEgDI.jpg)

* the plot of error in pressure along frequency range for mic1
![](https://i.imgur.com/3ww1rU9.jpg)

##### mic2

* the plot of predicted pressure along frequency range for mic2
![](https://i.imgur.com/hmVVxta.jpg)

* the plot of error in pressure along frequency range for mic2
![](https://i.imgur.com/c6nMi36.jpg)

##### mic3

* the plot of predicted pressure along frequency range for mic3
![](https://i.imgur.com/GrRjs3C.jpg)

* the plot of error in pressure along frequency range for mic3
![](https://i.imgur.com/ZBwnqMc.jpg)

##### mic4

* the plot of predicted pressure along frequency range for mic4
![](https://i.imgur.com/Mcr1ry5.jpg)

* the plot of error in pressure along frequency range for mic4
![](https://i.imgur.com/q6Ytqz1.jpg)

##### mic5

* the plot of predicted pressure along frequency range for mic5
![](https://i.imgur.com/TgQ52c8.jpg)

* the plot of error in pressure along frequency range for mic5
![](https://i.imgur.com/24N6Wpg.jpg)

##### plot of error and predicted velocity vs frequency range

##### mic1

* the plot of predicted velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/GMUai4y.jpg)

* the plot of error in velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/7Ci7jah.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/LlAbW5v.jpg)

* the plot of error in velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/EW8JgFS.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/vdALxAi.jpg)

* the plot of error in velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/SvTCGiQ.jpg)

##### mic2

* the plot of predicted velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/qM8Gb0d.jpg)

* the plot of error in velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/2Oa4gJg.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/G1mp7Aa.jpg)

* the plot of error in velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/GBV4yo8.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/46aCI2E.jpg)

* the plot of error in velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/WXAS2by.jpg)

##### mic3

* the plot of predicted velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/DTK9Enh.jpg)

* the plot of error in velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/ISvsdgI.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/9tdjc6u.jpg)

* the plot of error in velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/ef3fAAf.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/oRa2URX.jpg)

* the plot of error in velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/M4m1juz.jpg)

##### mic4

* the plot of predicted velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/RW0ycsG.jpg)

* the plot of error in velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/Q1pATWw.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/d0Xgai0.jpg)

* the plot of error in velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/EQqaa11.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/RZjNPj4.jpg)

* the plot of error in velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/fZju2Es.jpg)

##### mic5

* the plot of predicted velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/8CP1Q4M.jpg)

* the plot of error in velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/inioXRa.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/hWzw2iu.jpg)

* the plot of error in velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/K1oefrt.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/KwXXdBw.jpg)

* the plot of error in velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/H9Pe0E5.jpg)

#### Chirp signal with amplitude 3mV, frequency from 250Hz-2500Hz and time 50sec

##### plot of error and predicted pressure vs frequency range

##### mic1

* the plot of predicted pressure along frequency range for mic1
![](https://i.imgur.com/woVJ1f7.jpg)

* the plot of error in pressure along frequency range for mic1
![](https://i.imgur.com/DJuqGBW.jpg)

##### mic2

* the plot of predicted pressure along frequency range for mic2
![](https://i.imgur.com/5JuwtHj.jpg)

* the plot of error in pressure along frequency range for mic2
![](https://i.imgur.com/P8mVLGC.jpg)

##### mic3

* the plot of predicted pressure along frequency range for mic3
![](https://i.imgur.com/X9V7biY.jpg)

* the plot of error in pressure along frequency range for mic3
![](https://i.imgur.com/8u4bBve.jpg)

##### mic4

* the plot of predicted pressure along frequency range for mic4
![](https://i.imgur.com/5NtANx6.jpg)

* the plot of error in pressure along frequency range for mic4
![](https://i.imgur.com/eq2HZFw.jpg)

##### mic5

* the plot of predicted pressure along frequency range for mic5
![](https://i.imgur.com/X60lBKj.jpg)

* the plot of error in pressure along frequency range for mic5
![](https://i.imgur.com/vBL0ncV.jpg)

##### plot of error and predicted velocity vs frequency range

##### mic1

* the plot of predicted velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/8SAAVON.jpg)

* the plot of error in velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/1ofIyP6.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/8iDn0lT.jpg)

* the plot of error in velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/RxBU4u9.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/pGWLHEf.jpg)

* the plot of error in velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/RhmHD7s.jpg)

##### mic2

* the plot of predicted velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/ZMKZlD7.jpg)

* the plot of error in velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/WOijq1M.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/NlqsZ1j.jpg)

* the plot of error in velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/Bi5z7oc.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/dQoJuYu.jpg)

* the plot of error in velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/qNFFciw.jpg)

##### mic3

* the plot of predicted velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/DTK9Enh.jpg)

* the plot of error in velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/D4lzSzy.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/oTCmlYg.jpg)

* the plot of error in velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/QDEPUwc.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/lltVQoP.jpg)

* the plot of error in velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/LdooQLU.jpg)

##### mic4

* the plot of predicted velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/MRneqU1.jpg)

* the plot of error in velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/7Q3LdC8.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/M4Wd6mR.jpg)

* the plot of error in velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/oV6BrLd.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=50sec)
* ![](https://i.imgur.com/cTwfq9W.jpg)

* the plot of error in velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/LKfkSCE.jpg)

##### mic5

* the plot of predicted velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/XK3jweq.jpg)

* the plot of error in velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/KQv66d5.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/2ESoaiL.jpg)

* the plot of error in velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/JZfvzTW.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/pq3LaXP.jpg)

* the plot of error in velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/BtblSbQ.jpg)

### WITH OUT FOAM AT SPEAKER END

#### Chirp signal with amplitude 1mV, frequency from 250Hz-2500Hz and time 50sec

##### plot of error and predicted pressure vs frequency range

##### mic1

* the plot of predicted pressure along frequency range for mic1
![](https://i.imgur.com/T8cfDzo.jpg)

* the plot of error in pressure along frequency range for mic1
![](https://i.imgur.com/yXgjFVn.jpg)

##### mic2

* the plot of predicted pressure along frequency range for mic2
![](https://i.imgur.com/ubmuVvZ.jpg)

* the plot of error in pressure along frequency range for mic2
![](https://i.imgur.com/C1Vhmq7.jpg)

##### mic3

* the plot of predicted pressure along frequency range for mic3
![](https://i.imgur.com/EGGrK0r.jpg)

* the plot of error in pressure along frequency range for mic3
![](https://i.imgur.com/cjSDrWh.jpg)

##### mic4

* the plot of predicted pressure along frequency range for mic4
![](https://i.imgur.com/QRV2ryk.jpg)

* the plot of error in pressure along frequency range for mic4
![](https://i.imgur.com/xvRN4zn.jpg)

##### mic5

* the plot of predicted pressure along frequency range for mic5
![](https://i.imgur.com/KsR15aN.jpg)

* the plot of error in pressure along frequency range for mic5
![](https://i.imgur.com/bUvnWxD.jpg)

##### plot of error and predicted velocity vs frequency range

##### mic1

* the plot of predicted velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/JGeGcDs.jpg)

* the plot of error in velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/hBsIfgc.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/JRqsmXi.jpg)

* the plot of error in velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/8GXTxbJ.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/XCkkoc8.jpg)

* the plot of error in velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/zX86ERG.jpg)

##### mic2

* the plot of predicted velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/UbrE3aP.jpg)

* the plot of error in velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/JIlYcQ4.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/lzZY8w0.jpg)

* the plot of error in velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/l6FHhQN.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/j453Fp3.jpg)

* the plot of error in velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/aL8GNUe.jpg)

##### mic3

* the plot of predicted velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/OdGlICH.jpg)

* the plot of error in velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/8babKIP.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/6AEbeuY.jpg)

* the plot of error in velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/f6GS2C8.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/iQ6t9uJ.jpg)

* the plot of error in velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/LZukM3K.jpg)

##### mic4

* the plot of predicted velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/m6owyFW.jpg)

* the plot of error in velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/hPUlXK4.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/STUFEB0.jpg)

* the plot of error in velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/2ptLXJP.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/i6xMjwf.jpg)

* the plot of error in velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/cAUDwXp.jpg)

##### mic5

* the plot of predicted velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/pqdPgCF.jpg)

* the plot of error in velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/jP3H8hC.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/gbDBUql.jpg)

* the plot of error in velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/kkJgdqY.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/aGk79q5.jpg)

* the plot of error in velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/2HPn99V.jpg)

#### Chirp signal with amplitude 2mV, frequency from 250Hz-2500Hz and time 50sec

##### plot of error and predicted pressure vs frequency range

##### mic1

* the plot of predicted pressure along frequency range for mic1
![](https://i.imgur.com/kAjRqCW.jpg)

* the plot of error in pressure along frequency range for mic1
![](https://i.imgur.com/S3cXZxc.jpg)

##### mic2

* the plot of predicted pressure along frequency range for mic2
![](https://i.imgur.com/aHkz3YZ.jpg)

* the plot of error in pressure along frequency range for mic2
![](https://i.imgur.com/AAAHlXJ.jpg)

##### mic3

* the plot of predicted pressure along frequency range for mic3
![](https://i.imgur.com/AVPv5xv.jpg)

* the plot of error in pressure along frequency range for mic3
![](https://i.imgur.com/9WqlC9K.jpg)

##### mic4

* the plot of predicted pressure along frequency range for mic4
![](https://i.imgur.com/yFuI6Gx.jpg)

* the plot of error in pressure along frequency range for mic4
![](https://i.imgur.com/vlF9Ph8.jpg)

##### mic5

* the plot of predicted pressure along frequency range for mic5
![](https://i.imgur.com/ThcEWx8.jpg)

* the plot of error in pressure along frequency range for mic5
![](https://i.imgur.com/YWbFy2I.jpg)

##### plot of error and predicted velocity vs frequency range

##### mic1

* the plot of predicted velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/RThyOvc.jpg)

* the plot of error in velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/VxPXGCX.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/GOay7oM.jpg)

* the plot of error in velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/8CxNQUW.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/KtjBnsp.jpg)

* the plot of error in velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/wjOg6Tm.jpg)

##### mic2

* the plot of predicted velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/ZDUhuqf.jpg)

* the plot of error in velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/h75LOHb.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/fjX1hDW.jpg)

* the plot of error in velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/zo21Tjt.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/ZpvN1uC.jpg)

* the plot of error in velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/WHZmhJO.jpg)

##### mic3

* the plot of predicted velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/GsL3Yee.jpg)

* the plot of error in velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/hJQLwE3.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/YGIF4fD.jpg)

* the plot of error in velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/837xMVm.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/UL5kDAg.jpg)

* the plot of error in velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/z58qh8R.jpg)

##### mic4

* the plot of predicted velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/i4Rczf1.jpg)

* the plot of error in velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/oushADO.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/rC5Yfv3.jpg)

* the plot of error in velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/dwt5jMa.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/zcxDDFN.jpg)

* the plot of error in velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/MB9S6vw.jpg)

##### mic5

* the plot of predicted velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/g6uKp3r.jpg)

* the plot of error in velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/zZ1xjMO.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/tzub9vQ.jpg)

* the plot of error in velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/vRBEkQd.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/BawQvBj.jpg)

* the plot of error in velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/41BKkch.jpg)

#### Chirp signal with amplitude 3mV, frequency from 250Hz-2500Hz and time 50sec

##### plot of error and predicted pressure vs frequency range

##### mic1

* the plot of predicted pressure along frequency range for mic1
![](https://i.imgur.com/qsYbFnT.jpg)

* the plot of error in pressure along frequency range for mic1
![](https://i.imgur.com/v8rZGrT.jpg)

##### mic2

* the plot of predicted pressure along frequency range for mic2
![](https://i.imgur.com/8DAfby3.jpg)

* the plot of error in pressure along frequency range for mic2
![](https://i.imgur.com/5tTRNiq.jpg)

##### mic3

* the plot of predicted pressure along frequency range for mic3
![](https://i.imgur.com/5J0g9ri.jpg)

* the plot of error in pressure along frequency range for mic3
![](https://i.imgur.com/JIr3y0t.jpg)

##### mic4

* the plot of predicted pressure along frequency range for mic4
![](https://i.imgur.com/HHvejoy.jpg)

* the plot of error in pressure along frequency range for mic4
![](https://i.imgur.com/ChhNi0V.jpg)

##### mic5

* the plot of predicted pressure along frequency range for mic5
![](https://i.imgur.com/dWOq6NF.jpg)

* the plot of error in pressure along frequency range for mic5
![](https://i.imgur.com/WGUH3wR.jpg)

##### plot of error and predicted velocity vs frequency range

##### mic1

* the plot of predicted velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/BG5bqml.jpg)

* the plot of error in velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/CCGO36d.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/99GdolS.jpg)

* the plot of error in velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/7wGo2HO.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/wMmKECp.jpg)

* the plot of error in velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/LEAwWmN.jpg)

##### mic2

* the plot of predicted velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/pHY0cI1.jpg)

* the plot of error in velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/Zu1VJ4a.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/fwleCax.jpg)

* the plot of error in velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/9tq7Mw1.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/W9fnzuo.jpg)

* the plot of error in velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/JaUwMIO.jpg)

##### mic3

* the plot of predicted velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/u42d6JW.jpg)

* the plot of error in velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/V0E60WC.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/9l5J6G1.jpg)

* the plot of error in velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/DcNm9B3.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/2MmMF4B.jpg)

* the plot of error in velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/TJQlVyR.jpg)


##### mic4

* the plot of predicted velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/EkDk43E.jpg)

* the plot of error in velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/mVr39XZ.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/H79kBdd.jpg)

* the plot of error in velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/qevkIrK.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/poF4xKG.jpg)

* the plot of error in velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/QH0BCBY.jpg)

##### mic5

* the plot of predicted velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/iYanJJt.jpg)

* the plot of error in velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/h7Jl8Kc.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/fJDAoCX.jpg)

* the plot of error in velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/YV0X8gT.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/hfvZiAg.jpg)

* the plot of error in velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/fys4Zxn.jpg)

#### Chirp signal with amplitude 4mV, frequency from 250Hz-2500Hz and time 50sec

##### plot of error and predicted pressure vs frequency range

##### mic1

* the plot of predicted pressure along frequency range for mic1
![](https://i.imgur.com/4spVztN.jpg)

* the plot of error in pressure along frequency range for mic1
![](https://i.imgur.com/eihT4mV.jpg)

##### mic2

* the plot of predicted pressure along frequency range for mic2
![](https://i.imgur.com/eGctY0A.jpg)

* the plot of error in pressure along frequency range for mic2
![](https://i.imgur.com/qnamAEd.jpg)

##### mic3

* the plot of predicted pressure along frequency range for mic3
![](https://i.imgur.com/5cT3YJG.jpg)

* the plot of error in pressure along frequency range for mic3
![](https://i.imgur.com/v7wstH5.jpg)

##### mic4

* the plot of predicted pressure along frequency range for mic4
![](https://i.imgur.com/YPH4NDk.jpg)

* the plot of error in pressure along frequency range for mic4
![](https://i.imgur.com/pVhJ3ZE.jpg)

##### mic5

* the plot of predicted pressure along frequency range for mic5
![](https://i.imgur.com/oe3a0Rm.jpg)

* the plot of error in pressure along frequency range for mic5
![](https://i.imgur.com/PAfcfH9.jpg)

##### plot of error and predicted velocity vs frequency range

##### mic1

* the plot of predicted velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/0ZqwZBO.jpg)

* the plot of error in velocity along frequency range for mic1 (t=10sec)
![](https://i.imgur.com/VlXzsMH.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/R6fVTqL.jpg)

* the plot of error in velocity along frequency range for mic1 (t=30sec)
![](https://i.imgur.com/bIs14RG.jpg)

* the plot of predicted velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/pQ72uLL.jpg)

* the plot of error in velocity along frequency range for mic1 (t=50sec)
![](https://i.imgur.com/eZ8gmUS.jpg)

##### mic2

* the plot of predicted velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/5Mga0rY.jpg)

* the plot of error in velocity along frequency range for mic2 (t=10sec)
![](https://i.imgur.com/KeQsTm4.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/psMT68D.jpg)

* the plot of error in velocity along frequency range for mic2 (t=30sec)
![](https://i.imgur.com/VXZF1Kb.jpg)

* the plot of predicted velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/EWGs4HX.jpg)

* the plot of error in velocity along frequency range for mic2 (t=50sec)
![](https://i.imgur.com/z79UgKC.jpg)

##### mic3

* the plot of predicted velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/1WmVK90.jpg)

* the plot of error in velocity along frequency range for mic3 (t=10sec)
![](https://i.imgur.com/bp7Ekbk.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/Kkt2k9s.jpg)

* the plot of error in velocity along frequency range for mic3 (t=30sec)
![](https://i.imgur.com/zxhIift.jpg)

* the plot of predicted velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/OcdPHLR.jpg)

* the plot of error in velocity along frequency range for mic3 (t=50sec)
![](https://i.imgur.com/BjBSQU6.jpg)

##### mic4

* the plot of predicted velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/aXi74CQ.jpg)

* the plot of error in velocity along frequency range for mic4 (t=10sec)
![](https://i.imgur.com/Ttn6oLm.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/U4VFOtz.jpg)

* the plot of error in velocity along frequency range for mic4 (t=30sec)
![](https://i.imgur.com/KFPD9m2.jpg)

* the plot of predicted velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/jOVmZDV.jpg)

* the plot of error in velocity along frequency range for mic4 (t=50sec)
![](https://i.imgur.com/qZ92VsX.jpg)

##### mic5

* the plot of predicted velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/78wPPWb.jpg)

* the plot of error in velocity along frequency range for mic5 (t=10sec)
![](https://i.imgur.com/1SZoMdT.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/MzflZik.jpg)

* the plot of error in velocity along frequency range for mic5 (t=30sec)
![](https://i.imgur.com/E17BHmy.jpg)

* the plot of predicted velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/iiqKyy7.jpg)

* the plot of error in velocity along frequency range for mic5 (t=50sec)
![](https://i.imgur.com/uwYGh94.jpg)








