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Nonlinear Frequency Compression - What’s In and Out Joshua M. Alexander Ph.D., CCC-A www.tinyurl.com/PurdueEar

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Page 1: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Nonlinear Frequency Compression -

What’s In and Out

Joshua M. Alexander

Ph.D., CCC-A

www.tinyurl.com/PurdueEar

Page 2: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

250 500 1000 2000 4000 8000

-10

0

10

20

30

40

50

60

70

80

90

100

110

120

Frequency, Hertz

Heari

ng

Level, d

B H

L

z v

j m d bn

nge

ul

i ao r

p g

sh

k

sthf

xx

x

x

xx

x

Typical High Frequency Hearing Loss

hch

2

Page 3: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

250 500 1000 2000 4000 8000

-10

0

10

20

30

40

50

60

70

80

90

100

110

120

Frequency, Hertz

Heari

ng

Level, d

B H

L

z v

j m d bn

nge

ul

i ao r

p g

sh

k

sthf

xx

x

x

Limits of Conventional Amplification

xx

x

hch

3

Page 4: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Typical HA Receiver Response

250 500 1000 2500 5000 10,000-35

-30

-25

-20

-15

-10

-5

0

Frequency, Hz

Re

lati

ve

Le

ve

l, d

B S

PL

Triple Whammy1. Gain is least where2. speech energy is least &3. hearing loss is greatest

4

Page 5: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

250 500 1000 2000 4000 8000

-10

0

10

20

30

40

50

60

70

80

90

100

110

120

Frequency, Hertz

Heari

ng

Level, d

B H

L

z v

j m d bn

nge

ul

i ao r

p

gch

sh k

sthf

xx

x

x

Nonlinear Frequency Compression

xx

x

h

5

Page 6: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Nonlinear Frequency Compression (NFC)

Input Output

fminfmax

6

(Alexander & Rallapalli 2017)

fendStart

Source Region Destination Region

Related Terminologyfend = Input bandwidth

fmin (start) = cut-off freqfmax = max output freq

Page 7: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Frequency Input-Output Plot

• Key feature is that frequencies below the cut-off frequency are unaltered

• Adjustable cut-off frequency (fmin) and CR (fmax)

1 2 3 4 5 6 Freq. Input, kHz

Fre

q. O

utp

ut,

kH

z

5

4

3

2

1(fmin) Cut off (start)

(fmax)

Source Region

Des

tin

atio

nR

egio

n

fend (Input BW)

With a fixed cut-off increasing/decreasing compression ratio will decrease/increase fmax

7

Lower CR

Higher CR

Page 8: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

NFC Differs between Manufacturers

• What does “nonlinear” mean anyway???

• From the cut-off frequency, the input-output frequency relationship is defined by the compression ratio (CR)• Higher CRs = greater reduction of output bandwidth

• The mathematical relationship on a Hz scale is1. Nonlinear (but linear on a log scale) – Phonak/Unitron

2. Linear – ReSound

3. Other – Signia CR is not compatible across manufacturers!Cannot apply same settings when switching

brands and expect the same output.

8

Page 9: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

NFC for Mild-Moderate Loss

ch i l d r en l i ke s t r aw b err ie /z/

9k

8k

7k

6k

5k

4k

3k

2k

1k

Source

Destination

9

Before Lowering

fmin

fmax

fend

Page 10: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

NFC for Mild-Moderate Loss

ch i l d r en l i ke s t r aw b err ie /z/

9k

8k

7k

6k

5k

4k

3k

2k

1k

Source

10

After Lowering

fmin

fmax

fend

Destination

Page 11: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

NFC for Moderately Severe Loss

ch i l d r en l i ke s t r aw b err ie /z/

6k

5k

4k

3k

2k

1k

* * * * * *

* Formant transitions

Source

11

Before Lowering

fmin

fmax

fend

Destination

Page 12: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

NFC for Moderately Severe Loss

ch i l d r en l i ke s t r aw b err ie /z/

6k

5k

4k

3k

2k

1k

* * * * * *

Source

12

* Formant transitions (now flattened)

After Lowering

fmin

fmax

fend

Destination

Page 13: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Potential Side Effects

• While the speech code is relatively ‘scale invariant,’ it is heavily dependent on frequency• No other hearing aid feature has as much potential to

change the identity of individual speech sounds

• Potential to make speech understanding worse because low-frequency information has to be alteredto accommodate displaced high-frequency information

• Re-coded information must go somewhere• Regions that otherwise would be amplified normally

• Concern is not so much fidelity of re-coded information as it is newly introduced distortion and sound quality

13

Page 14: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Potential Pros vs. Cons

(Alexander, 2016)

10

9

8

7

6

5

4

3

2

1

Fre

qu

en

cy (

kH

z)

(a) Wideband

100 200 300 400 500

ee SSS

14

F1

F2

Time (ms)

(b) Low Pass Filtered

100 200 300 400 500

ee ???F1

F2

(c) NFC

100 200 300 400 500

?? ssF1

F2

Page 15: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Side EffectsFormant alteration, vowel reduction with a low cut off (start)

15

Page 16: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Settings vary Potential Pros vs. Cons

(Rallapalli & Alexander, 2016)16

???SSS

??? sss

??? ss

ss

s

Setting 1 Setting 2 Setting 3

Setting 4 Setting 5 Setting 6

Page 17: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

/ʃ/ for /s/ Confusions

17

(Alexander & Rallapalli, 2016)

0

10

20

30

40

50

60

Rel

ativ

e Le

vel,

dB

1/3-Octave Band Center Frequency, Hz

2.2k SF, 3.3k MAOF, 3.7:1 CR

/s/ /ʃ/

InOut

0

10

20

30

40

50

60

Rel

ativ

e Le

vel,

dB

1/3-Octave Band Center Frequency, Hz

1.5k SF, 5.0k MAOF, 1.5:1 CR

/s/ /ʃ/

InOut

1 2 3 4 5 6 LP

Setting

A lot of Overlap

Less Overlap

Settings 3 and 6 had the most energy for /s/ after lowering, but also had

the most confusions with /ʃ/

Page 18: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Importance of Probe Mic Measures

With the possibility of side effects causing

‘harm,’ if you plan to fit a hearing aid with NFC, you must know what you are delivering to the patient

18

Page 19: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Primary Goals for Probe Mic Measures

1. The audible bandwidth after NFC is activated should not be less than it was before it was activated

• Do NOT reduce the audible bandwidth!

2. The lowered information should be audible

3. The ‘weakest’ NFC setting should be used to accomplish your objective

• Frequency Lowering Fitting Assistants: www.tinyURL.com/FLassist

19

Page 20: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Frequency Lowering Fitting Assistants

• Purpose is not to determine ‘optimal’ settings, but rather to empower the clinician• Provide information for how sounds are changed with

the different settings

• Par down all of the available settings into a reasonable set based on ‘first principles’ (e.g., maintaining audible bandwidth)

• May improve uniformity across clinicians, protocols, test sites, etc.

20

Page 21: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Protocol for Fitting NFC Hearing Aids

1. Deactivate NFC and fit hearing aid to targets using probe mic as for a conventional aid

2. Find maximum audible output frequency, MAOF• The highest frequency at which output exceeds

threshold on the SPL-o-gram (Speechmap)

• Activate NFC and position the lowered speech in the audible bandwidth (MAOF) while not reducing it further• Most of the destination region should be audible

• Avoid too much lowering, which will unnecessarily restrict the bandwidth you had to begin with and reduce intelligibility

3. Verify that the MAOF is reasonably close to what it was when it was deactivated

21

Page 22: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

1. Deactivate NFC and Fit to Targets

2. Find the maximum audible frequency

22

Page 23: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

3. Activate NFC, adjust settings

Under-utilized Audible BW

NFC off Candidate SettingToo Strong Setting

www.tinyURL.com/FLassist

23

Page 24: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

3. Verify Bandwidth of Chosen Setting

NFC off NFC on

24

Page 25: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

To Fit or Not to Fit• Ultimately, a decision has to be made whether the

potential pros outweigh the cons• Does the patient experience speech perception deficits

with conventional amplification, despite your best efforts to achieve high-frequency audibility?

• If the decision is to fit, there are a few things to ask:1. How does the technology of choice work?

• Fundamental differences between manufacturers: techniques, terminology, adjustments, etc.

2. How much of the lowered information is audible?• Frequency Lowering Fitting Assistants

3. Can the patient use the lowered information?• Validation measures of outcomes25

Page 26: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Speech Tests to Help Validate• ORCA Nonsense Syllable Test: Kuk et al. (2010)

• UWO Plurals Test: Glista & Scollie (2012)

• Phoneme Perception Test (PPT): Schmitt et al. (2015)

• Purdue s-sh Test (PUSSH): Alexander (201X)

26

Page 27: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Adaptive Nonlinear Frequency Compression (Phonak SoundRecover2)

• 2 stages of frequency lowering1. Sounds with low-frequency emphasis are processed with

‘conventional’ NFC2. Sounds with high-frequency emphasis are also processed

with NFC (Stage 1), but are then transposed to an even lower frequency region (Stage 2)

• Rationale (potential benefits)• Less aggressive NFC can be used for vowels and other low-

frequency emphasis consonants to preserve intelligibility and sound quality

• Lower cut-off frequencies possible with Stage 2 NFC compared to conventional NFC

A. Expand candidacy to those with very restricted range of audibilityB. Transposed NFC speech cues span a wider destination range

less compression better preservation of spectral detail27

Page 28: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Conventional NFC

28

LinearStage 1

Source Region ≈ 2.0 – 6.0 kHzDestination Region ≈ 2.0 – 3.5 kHz

Page 29: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Adaptive NFC (ANFC)

29

LinearStage 1Stage 2

Signals in BOTH stages pass through linear region

Source Region ≈ 2.0 – 6.0 kHz Destination Region ≈ 2.0 – 3.5 kHz

Source Region ≈ 2.0 – 11. kHz Destination Region ≈ 0.8 – 3.5 kHz

2.0 kHz

0.8 kHz

Stage 2 (transposition)

“Cut-off 2”

“Cut-off 1”

Page 30: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Full Bandwidth

30

“seven seals were stamped on great sheets”

Page 31: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Simulated Loss(Filtered >3.5kHz)

31

Page 32: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Processed with ANFC

32

Source Region ≈ 2.0 – 6.0 kHz Destination Region ≈ 2.0 – 3.5 kHz

Source Region ≈ 2.0 – 11. kHz Destination Region ≈ 0.8 – 3.5 kHz

Stage 1 Stage 2

Page 33: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Processed with ANFC (Stage 1)

33

Source Region ≈ 2.0 – 6.0 kHz Destination Region ≈ 2.0 – 3.5 kHz

Stage 1

Page 34: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Processed with ANFC (Stage 2)

34

Source Region ≈ 2.0 – 11. kHz Destination Region ≈ 0.8 – 3.5 kHz

Stage 2

Page 35: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Processed with ANFC

35

Source Region ≈ 2.0 – 6.0 kHz Destination Region ≈ 2.0 – 3.5 kHz

Source Region ≈ 2.0 – 11. kHz Destination Region ≈ 0.8 – 3.5 kHz

Stage 1 Stage 2

Page 36: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Frequency Input-Output Plot

36

2.0

0.8 (Cut-off 1)

(Cut-off 2)

http://tinyURL.com/FLassist

Frequencies < cut-off 2 are output at their

original frequencies

Page 37: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Source Region for Stage 2 (lower cutoff)Depends on Stage 1 (upper cutoff)

37

2.0

0.8

1.5

0.8

3.0

0.8

2.5

0.8

Page 38: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Programming Software Adjustments

38

First slider controls destination region

(cut-off 1 – max output)Second slider controls cut-off 2

(and start of source region)Setting “d” = max output

Page 39: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Which Setting to Choose?

1. Only settings on the “Audibility-Distinction” slider(“1” to “20”) where the max output frequency ≥ MAOF should be considered• Do NOT reduce the audible bandwidth!

• Consequences of setting max output frequency > MAOF• Full source region up to 11 kHz will NOT be audible

• May improve overall benefit by reducing amount of compression

2. Choose from one of four settings (“a” to “d”) on the “Clarity-Comfort” slider• Sets upper cutoff (cut-off 2)

• Controls how low-frequency emphasis sounds are processed• Setting “d” essentially turns off frequency lowering for these sounds

• Sets lower limit of source region for high-frequency emphasis sounds39

Page 40: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Verification Using /s/,/ʃ/• Susan Scollie recommends a 2-step procedure using

calibrated /s/ and /ʃ/ (Scollie et al., 2016)1. Make high-frequency ‘shoulder’ of /s/ audible (≤ MAOF)

2. Make high-frequency shoulders of /s/ and /ʃ/ non-overlapping, if possible• Phonak also recommends at least 1/3-octave (≈1 ERB) separation

between the low-frequency shoulders of /s/ and /ʃ/

40

MAOF non-overlap

non-overlap

Page 41: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

SoundRecover2 Fitting Assistant

• Given that we know . . .1. The frequencies of the shoulders of the source

UWO /s/ and /ʃ/ files2. The range of aided audibility (MAOF)3. The relationship between input and output

frequencies for the different ANFC settings• Cut-off 1, Cut-off 2, and Maximum Output frequencies

• Then, we can compute . . .1. The amount of separation between the high-

frequency shoulders of the UWO /s/ and /ʃ/2. The amount of separation between the low-

frequency shoulders of the UWO /s/ and /ʃ/3. The bandwidths of the lowered UWO /s/ and /ʃ/4. All of the above on a psychophysical scale that

resembles normal cochlear filtering (ERB scale)41

http://tinyURL.com/FLassist

Page 42: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

SoundRecover2 Fitting Assistant v1.0

42

http://tinyURL.com/FLassist

3.82 1.56

5.37 ERBs

+

1.3

2.7

1

1

2 3 4

2

3

4

Page 43: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Preliminary Data• 10-12 normal-hearing listeners with bandwidth

limited to 3.3 kHz

• 10 different ANFC conditions processed in MATLAB that varied cut-off 1 and cut-off 2 with identical input/output bandwidth

• Tested on:• /s/-/ʃ/ discrimination in words (Purdue s-sh Test, PUSSH)

• Fricative discrimination (/iC/)

• Consonant discrimination (/VCV/)

• Vowel discrimination (/hVD/)43

Page 44: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Preliminary Data• Correlated RAU scores with acoustic analyses of /s/, /ʃ/

from processed PUSSH stimuli (in ERB units)• Separation of the low-frequency shoulders• Separation of the high-frequency shoulders• Average bandwidth

• If anything, settings that increase separation between LF/HF shoulders seem to increase errors (negative correlations)

• Reducing bandwidth of /s/,/ʃ/ seems to decrease errors• Another emergent property (????) seems to be best predictor

• Much work to be done . . . stay tuned!• Different severities of loss, hearing-impaired listeners, clinical

devices, acoustics based on test stimuli (fricatives and VCVs)44

LF shoulder HF shoulder Bandwidth ????PUSSH -0.71 -0.38 -0.88 0.94

Fricatives -0.53 -0.61 -0.71 0.87VCVs -0.16 -0.68 -0.16 0.60

Page 45: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

SoundRecover2 Fitting Assistant v2.0

45

http://tinyURL.com/FLassist

1.3

2.7

7.194.93

1.3

2.7

Page 46: Nonlinear Frequency Compression - What’s In and Out · •Phoneme Perception Test (PPT): Schmitt et al. (2015) •Purdue s-sh Test (PUSSH): Alexander (201X) 26. Adaptive Nonlinear

Thank You!TinyURL.com/PurdueEAR