A METHOD FOR ENCRYPTING AND DECRYPTINGWAVE FILES

International Journal of Network Security & Its Applications (IJNSA) Vol. 10, No.4, July 2018
DOI: 10.5121/ijnsa.2018.10402 11
A METHOD FOR ENCRYPTING AND
DECRYPTINGWAVE FILES
Mohamad M. Al-laham1
, Mohamad a. Mai'iteh2
, Hasan Rashaideh3
, Ziad Al-Qadi4
1&2
Department of MIS, Al-Balqa Applied University, Jordan
3&4
Department of computer science, Al-Balqa Applied University, Jordan
ABSTRACT
This paper aims at presenting a novel method for encrypting and decrypting wave files. Basically, the
target files are sound files. First, the files are fetched, then a two-dimensional matrix of the double data
type is created to maintain the values that correspond to the sample range; these values are placed in a
column matrix then they are kept in the two dimensional-matrix already created. The double 2D matrix will
be encrypted using matrix multiplication with a private double matrix key [1]. Having been encrypted, the
data will be sent in wave file format and decrypted using the same 2D matrix private key.
KEYWORDS
security, encrypting, decrypting, wave files.
1. INTRODUCTION
Waveform Audio File Format (WAVE) is an application of RIFF or Resource Interchange File
Format which stores audio bit streams in “chunks”. Linear Pulse Code Modulation (LPCM)
format is used to encrypt WAVE [2] [3]. The Sound is a pressure wave or mechanical energy
characterized by pressure variance in an elastic medium. The variance propagates as either
compression the pressure exceeds the ambient pressure or as reification when pressure is less than
the ambient pressure. In the same manner, a WAVE file just represents the sampled sound waves
which happen to be above or below the equilibrium or ambient air pressure. In this paper, one and
two channels of wave files will be used to show the proposed technique of encrypting the sound
file in various matrix formats [4][5]. The most popular characteristics used to analyze wave files
are:(1) Estimating the mu of the Population(mu), (2) Estimating Sigma, (3) Peak Factor (Crest
Factor), (4) Dynamic Range, (5) Power Spectral Density, and (6) Zero-Crossing Rate.
The rest of this paper are is organized as follows: in section 2 we introduce a basis on how to
analyze wave files. Our proposed method is presented in section 3. Section 4 presents the
experimental environment. Section 5 presents and discusses the results. Finally, conclusions are
drawn in section 6.
2. WAVE FILE ANALYSIS
2.1. ESTIMATING THE MU OF THE POPULATION(MU)
Figure 1 shows an overview of all the relationships. In step 1, in the upper left-hand corner of
Figure 1, Sampling Distribution of the Mean (SAQ) is conducted as a normal distribution. In step 2,

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we do a research project on spatial ability. This is equivalent to taking a sample of size(n)from this
population of SAQ scores. So, in step 3 a statistic on the sample data is calculated. Hence, we
calculate the mean [6].
The estimate of the population means mu is the sample mean. Unfortunately, it gets messier by
estimating population variance as shown in Figure 1.
Figure 1. Calculating mu Parameter
2.2. ESTIMATING SIGMA
The standard deviation, sigma, is the next parameter to be estimated. The formula shown in
Figure 2 is used to calculate an estimate of the population standard deviation (sigma) from sample
[7].
Figure 2. Calculating Sigma Parameter
2.3. Peak Factor (Crest Factor)
The crest factor of an audio signal is defined as the dB difference between the peaks and the Root
Main Square (RMS) value of the signal. The RMS is defined as the “heating value” of the signal-
the voltage that would generate the same heat as a DC (Direct Current) signal- over the same time
[8]. RMS value of a complex signal must be read with an RMS voltmeter. Alternatively, the

13
signal can be digitally sampled, and the samples are summed to yield the RMS value.
Furthermore, the RMS value of a complex signal can be calculated from the “area under the
curve” of a signal.
2.4. DYNAMIC RANGE (DR)
DR, or DNR, is defined as the ratio between the largest and smallest possible values of a
changeable quantity, such as in signals like sound and light. It is measured as a ratio, or as a base-
10 (decibel) or base-2 (doublings, bits or stops) logarithmic value [9].
2.5. POWER SPECTRAL DENSITY (PSD)
For continuous signals that describe, for example, stationary physical processes, it is more
convenient to define a Power Spectral Density (PSD). It describes how the power of a signal or
time series is distributed over different frequencies, as given in the previous simple example.
Also; here, power can be the real physical power, or more often, for convenience with abstract
signals, can be defined as the squared value of the signal [10][11].
2.6. ZERO-CROSSING RATE
The Zero-Crossing Rate is defined as the rate of sign-changes along a signal, i.e., the rate at
which the signal changes from positive to negative or vice versa. This feature has been heavily
used in both speech recognition and music information retrieval; being a main feature to classify
percussive sounds [12].
3. THE PROPOSED TECHNIQUE TO WAVE FILES ENCRYPTION/
DECRYPTION
Wave files can be treated as one column matrix (mono sounds: one channel) or two columns
matrix (stereo sounds: two channels). The proposed technique is based on this idea and consists
of two phases: Phase 1: Encryption and Phase 2: Decryption.
3.1. ENCRYPTION PHASE
This phase will be implemented as shown in figure 3 by applying the following steps:
I. Capture the original wave file.
II. Calculate the wave file size.
III. If the wave file size is not a square number, increase the size to the nearest square
number.
IV. Pad zeros to the wave file if the size is increased.
V. Convert the wave file to a 2D square matrix.
VI. Generate a 2D double matrix to be used as a private (secret) key.
VII. Apply matrix multiplication to get the encrypted matrix.
VIII. Resize the encrypted matrix, and then change the2D matrix to a1D matrix to get
the encrypted wave file.

14
Figure 3. Encryption Phase
3.2. DECRYPTION PHASE
This phase will be implemented as shown in figure 4 by applying the following steps:
I. Get the encrypted wave file.
II. Calculate the encrypted wave file size.
III. If the decrypted wave file size is not a square number, increase the size to the nearest
square number.
IV. Pad zeros to the encrypted wave file if the size is increased.
V. Convert the encrypted wave file to a2D square matrix.
VI. Use the inverse of the secret key as a private key.
VII. Apply matrix multiplication to get the decrypted matrix.
VIII. Resize the decrypted matrix, and then change the2D matrix to a1D matrix to get the
decrypted original wave file.

15
Figure 4: Decryption Phase
4. EXPERIMENTAL ENVIRONMENT
To analyze the proposed technique, the following tools are used:
 The Personal computer (i7 processor with 4Gbyte RAM)
 MATLAB package.
 MATLAB programs and functions to be used for variant methods of analysis and for
encryption and decryption.
5. EXPERIMENTAL RESULTS
During the implementation, we focus on the issues in the following subsections.
5.1 ACCURACY:
Accuracy means approaches zero error between the original wave file and the decrypted one to
make sure that there is no loss of information during the process of encryption-decryption. The
proposed technique is implemented and tested several times using deferent wave files with
deferent sizes and channels. Each time of testing, the correlation coefficient among the original
wave file and the decrypted one and the value of the correlation coefficient is always zero, which
means that the decrypted wave file 100% matches the original wave file.
Table 1 shows some sample values of the original, encrypted and decrypted files:

16
Table 1. Sample Values of the Wave File
The original wave file and the decrypted one are graphically represented using deferent forms and
Figures 5 and 6 show that the original file and the decrypted one are the same.
Figure 5. Representation of the original wave file
0 0.5 1
-1
0
1
Time, s
Normalizedamplitude
Original voice signal in the time domain
Time, s
Frequency,Hz
Spectrogram of original voice signal
0.2 0.4 0.6 0.8
0
5000
10000
Magnitude,dB
-100
-50
0
10
0
-200
-150
-100
-50
0
Amplitude Spectrum of original voice signal
Frequency, kHz
Amplitude,dBV
0 5 10 15
-150
-100
-50
0
50
Frequency (kHz)
Power/frequency(dB/Hz)
Power Spectral Density

17
Figure 6. Representation of the Decrypted Wave File
The most popular characteristics of the wav file are calculated for the original file and the
decrypted one and they are always the same. Table 2 shows sample:
Table 2. Sample of Wave File Characteristics
5.2 SECURITY
Information Security is the process of protecting data from unauthorized access, disclosure,
destruction, modification and disruption. The common goals of information security are:
protecting the confidentiality, integrity, and availability of information. However, there are some
slight differences between them. The proposed technique uses a very huge 2D matrix with double
values as a private (secret) key for encryption and decryption. This key will be generated
randomly and saved, and it is very difficult, or even impossible, to hack or guess it as shown in
the next example:
HACKING TIME CALCULATION EXAMPLE:
Suppose we have the following random double matrix to be used for encryption-decryption:
0 0.5 1
-1
0
1
Time, s
Normalizedamplitude
Decrypted voice signal in the time domain
Time, s
Frequency,Hz
Spectrogram of decrypted voice signal
0.2 0.4 0.6 0.8
0
5000
10000
10
0
-200
-150
-100
-50
0
Amplitude Spectrum of decrypted voice signal
Frequency, kHz
Amplitude,dBV
0 5 10 15
-150
-100
-50
0
50
Frequency (kHz)
Power/frequency(dB/Hz)
Power Spectral Density
Magnitude,dB
-100
-50
0

18
 The probability of guising each digit (P) =1/104
 The probability of guising the 9 digits (PP) =1/104×9
=10-36
 For the best case: the number of guising = 1036
 For the worst case: the number of guessing=1

The average number of guessing=(1+1036
)/2 ~ 5 × 10 35
 Suppose the matrix multiplication requires 10-9
seconds, so the hacking time will be:
5 × 10 35
×10-9
= 5 × 10 26
sec = 5 × 10 26
/60= 8.3333×1024
min= 8.3333×1024
/60=1.3889×1023
hours = 1.3889×1023
/24= 5.7871 ×1021
days=5.7871 ×1021
/365.25=1.5844×1019
years
The calculation results lead us to conclude that it is impossible or even very hard to hack the key
which is always greater than 3 by 3 random matrix.
5.3 EFFICIENCY
The proposed technique is implemented using different wave files with different sizes.
Each time the encryption/decryption time is calculated, and some samples of time
calculation are listed in table 3:
Table 3. Encryption-Decryption Time
From the results in Table 3, we find out that the results of the different sizes of wave files vary
proportionally to the size of wave file. Encryption time increases as the file size increases in
multiples of file size. The implementation results are compared with the results in [13] as shown
in Table 4 and Figure 7.
Table 4:Encryption Time Comparisons

19
Figure 7. Comparison Results
From table 4, we can compare the proposed technique results with the results of the other two
methods by calculating the speedup as shown in table 5:
Table 5:Speedup Calculation
6. CONCLUSIONS
An efficient and secure technique for wave file encryption- decryption is proposed, implemented,
tested and compared with the other method of encryption-decryption and from the obtained
results we can conclude the following:
- The proposed technique can easily be used to encrypt-decrypt both mono and stereo
wave files with any size.
- The proposed technique is very secure and it is hard or even impossible to hack the
private key.
- The proposed technique provides zero error; thus, there is no loss of information
during the process of encryption-decryption.
- The proposed technique is very efficient being compared with other techniques and
satisfies a high-speed up.
10 12 14 16 18 20 22 24 26 28 30
0
1
2
3
4
5
6
7
8
9
x 10
4
File size (MB)
Encryptiontime(Msec)
Proposed
DEC
Blowfish

20
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[13] J. Nadir, A. Abu Ein and Z. Alqadi, " A Technique to Encrypt- decrypt Stereo Wave Files",
International Journal of Computer and Information Technology, ISSN: 2279 -0764, Volume 05 Issue
05, September2016
[14] M. Kaur and S. Kaur, "Survey of Various Encryption Techniques for Audio Data", International
Journal of Advanced Research in Computer Science and Software Engineering, vol. 4, pp. 1314-1317,
2014

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