Real Time Fast Algorithm of 2D DWT Based DSP Technology

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1 Real Time Fast Algorithm of 2D DWT Based DSP Technology Ghazi Ibrahem Raho 1, Ali Jbaeer Dawood 2 and Muzhir Shaban Al-Ani 3 1 Amman Arab University Computer Information Systems Department 2&3 Al-Anbar University College of Computer Science Abstract Two Dimensional Discrete Wavelet Transform (2D-DWT) algorithms play an important part in our life including the huge growth of their applications in image and video compression. In addition, to work at real time signal processing, we need to reduce number of operations as possible and to speed up the processing rate. These specifications are implemented via the merging and integrated of hardware and software environments in the overall system. This system is implemented via the combination of hardware and software components using real time processing. The implemented system demonstrates an accurate, fast, flexible and real time processing system. Keywords: 2D-DSP, Real Time Algorithms, 2D-DWT, and Image Compression. 1. INTRODUCTION Digital Signal Processor (DSP) and Discrete Wavelet Transform (DWT) are of the most powerful technologies that will shape science and engineering in the twenty-first century. Revolutionary changes have already been made in a broad range of fields: communications, mobile, medical imaging, radar & sonar, satellite imaging, and remote sensing, to name just a few. Each of these areas has developed a deep DSP technology, with its own algorithms, mathematics, and specialized techniques. This combination of breath and depth makes it impossible for any one individual to master all of the DSP technology that has been developed. DSP education involves two tasks: learning general concepts that apply to the field as a whole, and learning specialized techniques for your particular area of interest. This chapter starts our journey into the world of digital signal processing by describing the dramatic effect that DSP has made in several diverse fields [1]. Most of the signals (1D & 2D) are directly encountered in science and engineering are continuous: light intensity that changes with distance; voltage that varies over time; a chemical reaction rate that depends on temperature, etc. Analogto-Digital Conversion (ADC) and Digital-to-Analog Conversion (DAC) are the processes that allow digital computers to interact with these everyday signals. Digital information is different from its continuous counterpart in two important respects: it is sampled, and it is quantized. Both of these restrict how much information a digital signal can contain [2]. There are several ways to calculate and implement the fast algorithms, such as solving simultaneous linear equations or the correlation method. The Fast Fourier Transform (FFT) is another method for calculating the DFT. While it produces the same result as the other approaches, it is incredibly more efficient, often reducing the computation time by hundreds. While the FFT only requires a few dozen lines of code, it is one of the most used algorithms in DSP applications [3],[4]. 2. LITERATURE REVIEWS Many works are published related to this subject and some of these are listed below: Sandro V. Silva & Sergio Bampi (5) investigated that the tradeoffs between area, power and data throughput of several implementations of the Discrete Wavelet Transform using the lifting scheme in various pipeline designs and showed the results of five different architectures synthesized and simulated in FPGAs [5]. Mehboob Alam and et al., (5) presented a new algorithm for a 2D non-separable lifted bi-orthogonal wavelet transform. This algorithm is derived by factoring complementary pairs of wavelet transform 2D filters. The results are efficient architectures for real time signal processing, which do not require transpose memory for the 2D processing of data [6]. Maria E. Anglopoulou and et al., (8) implemented several schedules on FPGA based platforms for the forward 2D DWT by using a lifting-based filter-bank implementation. these designs were realized in VHDL and optimized in terms of throughput and memory requirements, in accordance with the principles of both the schedules and the lifting decomposition [7]. Juyoung Kim and Taegeun Park (9) proposed a fully-utilized, block-based 2D DWT (discrete wavelet transform) architecture, which consists of four 1D DWT filters with two-channel QMF lattice structure. The proposed architecture requires about 2MN-3N registers to save the intermediate results for higher level decomposition [8]. Volume 2, Issue 1, October 213 Page 1

2 Sugreev Kaur and Rajesh Mehra (21) presented a high speed and area efficient DWT processor based design for Image Compression applications. In this proposed design, pipelined partially serial architecture has been used to enhance the speed along with optimal utilization and resources available on target FPGA [9]. Muzhir Shaban Al-Ani and Talal Ali Hammouri (211) developed an efficient video compression approach based on frames difference approaches that concentrated on the calculation of frame near distance. The selection of the meaningful frame depends on many factors such as compression performance, frame details, frame size and near distance between frames [1]. Yamini S.Bute and R.W. Jasutkar (212) presented an efficient VLSI architecture of a high speed, low power Discrete Wavelet Transform computing. There are number of architectures present for realizing DWT. Based on the application and the constraints imposed, the appropriate architecture can be chosen [11]. Azadeh Safari, Yinan Kong adopted the lifting DWT which is the most computation-efficient scheme of wavelet analysis and outlines the multi-resolution features of the wavelet transform. Details of the lifting wavelet transform are analyzed to propose a high-speed, less-area and power-efficient digital image compression scheme [12]. Lenin Raja, A. Merline, Dr.R.Ganesan Proposed a High speed and reduced area 2D discrete wavelet transform (2D- DWT) architecture. Results indicate that while BP design exhibit inherent speed advantages.ds design requires significantly fewer hardware resource with increased precision and DWT level [13]. From these works we can say that DSP and DWT are very important fields to develop, in addition the compensation of these two operations are very important issues to support processing time. 3. TWO DIMENSIONAL DWT Two dimensional DWT is obtained via the implementation of low pass and high pass filters on rows and columns of image respectively. A low pass filter and a high pass filter are chosen, such that they exactly halve the frequency range between themselves. This filter pair is called the Analysis Filter pair. First, the low pass filter is applied for each row of data, thereby getting the low frequency components of the row. But since the LPF is a half band filter, the output data contains frequencies only in the first half of the original frequency range. The high pass filter is applied for the same row of data, and similarly the high pass components are separated, and placed by the side of the low pass components. This procedure is done for all rows. As mentioned above, the LL band at the highest level can be classified as most important, and the other 'detail' bands can be classified as of lesser importance, with the degree of importance decreasing from the top of the pyramid to the bands at the bottom. DWT is a multispectral technique used for converting signal or image into four different bands such as low-low (LL), low-high (LH), high-low (HL) and high-high (HH) as demonstrated in figure (1) [14],[15]. Figure (1) Decomposition of image applying DWT 4. DSP TECHNOLOGY A digital signal processor is a specialized microprocessor with an optimized architecture for the fast operational needs of digital signal processing. Digital signal processing algorithms typically require a large number of mathematical operations to be performed quickly and repetitively on a set of data. Signals (perhaps from audio or video sensors) are constantly converted from analog to digital, manipulated digitally, and then converted again to analog form. Many DSP applications have constraints on latency; that is, for the system to work, the DSP operation must be completed within some fixed time. For example the Texas Instruments TMS32C5x provides several features that support multiprocessing. In addition to providing the equivalent of bus request and bus grant signals (called HOLD and HOLDA on the TMS32C5x), the processor also allows an external device to access its on-chip memory. To accomplish this, the external device first asserts the TMS32C5x's HOLD input. When the processor responds by asserting HOLDA, the external device asserts BR, indicating that it wishes to access the TMS32C5x's on-chip memory. The TMS32C5x responds by asserting Instruction Acquisition IAQ. The external device can then read and write the TMS32C5x's on-chip memory by driving TMS32C5x's address, data, and read/write lines. When finished, the external device desserts HOLD and Block repeat (BR). This allows the creation of multiprocessor systems that do not require shared memory for interprocessor communications. Texas Instruments produce the C6 series DSP s, which have clock speeds of 1.2 GHz and implement separate instruction and data caches. They also have an 8 MiB 2nd level cache and 64 EDMA channels. The top models are capable of as many as 8 MIPS (instructions per second), use VLIW (very long instruction word), perform eight Volume 2, Issue 1, October 213 Page 2

3 operations per clock-cycle and are compatible with a broad range of external peripherals and various buses (PCI/serial/etc). TMS32C6474 chips each have three such DSP's, and the newest generation C6 chips support floating point as well as fixed point processing [16],[17]. 5. DSP SYSTEM ARCHITECTURE The proposed digital signal processing system is implemented via DSP processor to perform FFT and IFFT. This system is implemented to perform real time processing via serial port. Matlab software introduces a simulation of Texas Instruments TMS32C5x and TMS32C6x. The architecture of the real time DSP system is shown in figure (2) and it is divided into the following main parts [18]-[2]: Main DSP processor which is the main part that carries out all operations. Input Interface Unit (IIU) which contains of a sensor that converts the input into electrical signal, high speed Analog to Digital Convertor (ADC) which convert the electrical signal into digital form, then a latch device that pass the incoming data when a clock signal is on. Output Interface Unit (OIU) which contains of a latch device that pass the incoming data when a clock signal is on, (DAC) which converts the digital signal into analog form, then the DAC passes the analog signal into the analog display. Input Memory Unit (IMU) which connected to the input interface unit to store and share the input data. Output Memory Unit (OMU) which connected to the output interface unit to store and share the output data. Control Unit (CU) which includes a crystal oscillator which control all over the system including input / output devices and processor. Figure (2) Architecture of the real time DSP system 6. THE PROPOSED SYSTEM Literature reviews indicated that there are many approaches to implement 2D DWT, here we try to implement a simple efficient approach that can be use to realize a real time processing aspect. The proposed first level 2D DWT is shown in figure (3) in which low pass filters and high pass filters are implemented respectively on rows and columns to generate Low Low band (LL1), Low High band (LH1), High Low band (HL1) and High High band (HH1). This proposed system is implemented via many stages as illustrated in figure (3) and these stages are listed below; control of flow of pixels, set of shift registers, applying low pass and high pass filters. The two wavelet filters are both implemented and executed by the DSP processor for comparisons. The proposed algorithm is optimized at source code level and memory usage. The execution time for performing both DWTs is measured for 2D-DWT for different number of level (first level & second level). Figure (3) first level 2D DWT Volume 2, Issue 1, October 213 Page 3

4 7. RESULTS AND ANALYSIS Real Time Fast Algorithm of 2D DWT Based DSP Technology is implemented via Matlab environment and using hardware simulator that can be performed at real time. 2D DWT is the adequate example of this system, in which can be applied to any image signal after it converted into digital form. The tested original image is considered to be * pixels in which there are 25, complex operations. That leads to save 1/16 of 25, depending on the cycle rate of DSP. Figure (4) shows an example of different types of wavelet to perform the effects of number of operations. This figure shows pepper color image before and after compression and their histogram in each case. Figure (5) shows an example of level two compression, in which it can see that the compressed image has some different from the original image. The powerful of the implemented system comes from the merging of 2D-DWT and DSP technology to perform an efficient and flexible real time system. Compressed Image (a)the original image and its histogram Figure (4) image compression (b) The compressed image and its histogram (a)the original image and its histogram Figure (5) image compression (b) The compressed image and its histogram 8. CONCLUSION Digital signal processing is one of the most important technologies that applied in a wide range of fields in our life. The proposed system maintain a large number of mathematical operations to be performed quickly on a set of data, includes high performance, and cost efficient processors. The proposed system is implemented via merging of hardware and software environments in the overall system using serial port. The main advantage of this system is that all operations are done on-line or real time processing. The obtained results show that you can do your own operation and function using simple modification on the software algorithm. References [1] Steven W. Smith, "The Scientist and Engineer's Guide to Digital Signal Processing" Ph.D. accessed at 1/1/21. [2] Hahnsang Kim et al., "EPspectra: A Formal Toolkit for Developing DSP Software Applications", accessed at 1/1/21. [3] Shuvra S. Bhattacharyya et al., "The CBP Parameter A Useful Annotation to Aid Block diagram Computers for DSP", Proceedings of the International Conference on Circuits and Systems (ISCAS ). [4] KennethW.K.Lui et al., "A study of two-dimensional sensor placement using time-difference-of-arrival measurements", Digital Signal Processing 19 (9) [5] Sandro V. Silva & Sergio Bampi, Area and Throughput Trade-Offs in the Design of Pipelined Discrete Wavelet Transform Architectures, Proceedings of the Design, Automation and Test in Europe Conference and Exhibition (DATE 5), 5. [6] Mehboob Alam and et al., An Efficient Architecture for a Lifted 2D Biorthogonal DWT, Journal of VLSI Signal Processing 4, , 5. [7] Maria E. Anglopoulou and et al., Implementation and Comparison of the 5/3 Lifting 2D Discrete Wavelet Transform Computation Schedules on FPGAs, Journal of Signal Processing Systems 51, 3 21, 8. [8] Juyoung Kim and Taegeun Park, High Performance VLSI Architecture of 2D Discrete Wavelet Transform with Scalable Lattice Structure, World Academy of Science, Engineering and Technology 3 9. Volume 2, Issue 1, October 213 Page 4

5 [9] Sugreev Kaur and Rajesh Mehra, High Speed and Area Efficient 2D DWT Processors Based Image Compression, Signal & Image Processing : An International Journal(SIPIJ) Vol.1, No.2, December 21. [1] Muzhir Shaban Al-Ani andtalal Ali Hammouri, Video Compression Algorithm Based on Frame Difference Approaches, International Journal on Soft Computing (IJSC) Vol.2, No.4, November 211. [11] Yamini S.Bute and R.W. Jasutkar, Implementation of Discrete Wavelet Transform Processor For Image Compression, International Journal of Computer Science and Network (IJCSN) Volume 1, Issue 3, June 212. [12] Azadeh Safari, Yinan Kong, The Application of Lifting DWT in Digital Image Processing, Advances in Mechanical and Electronic Engineering Lecture Notes in Electrical Engineering Volume 178, 213, pp [13] Lenin Raja, A. Merline, Dr.R.Ganesan, Novel Approach on Efficient Hardware Architecture for 2D-Discrete Wavelet Transforms, International Journal of Advanced Information Science and Technology (IJAIST) Vol.1, No.1, February 213. [14] Chen Hai Lin et al., "Multiple Descriptions Based Wavelet Image Coding", Journal of Zhejiang University Science, vol.5, no.1, pp55-61, Jan. 4. [15] Don Hong et al, "Wavelet and Biorthogonal Wavelets for Image Compression", Robotic Welding and Automation, LNCIS 299, pp281-33, 4. [16] K. Rath, "A Novel Reconfigurable Execution Core for Merged DSP Microcontroller", Journal of Computer Science 3 (1): 83-89, 7, ISSN , 7 Science Publications. [17] Ms. Tarni Joshi, Architectural Review: Evolution of Embedded Digital Signal Processors, International Journal of Emerging Technology and Advanced Engineering, Volume 2, Issue 4, April 212. [18] Texas instruments, TMS32LF/LC24xA DSP Controllers Reference Guide, available at Doc No. spru357c.pdf accessed at 1/1/21. [19] Woons Gan, "Transition from Simulink to MATLAB in Real-Time Digital Signal Processing Education" International Journal of Engineering Education, vl.21, no.4, pp , 5. [2] Hironori Susaki, "A Fast Algorithm for High-Accuracy Frequency Measurement: Application to Ultrasonic", IEEE Journal of Oceanic Engineering, Vol. 27, No. 1, January 2. AUTHORS 1 Ghazi Ibrahem Raho, Associated professor at Computer Information System& Information Technology at Amman Arab University Amman - Jordan. Doctoral Fellowship(1988)- Research & Computer University of Marseilles - France. Ph.D. (1981), in Computer Information System& Information Technology, College of Planning &Cybernetics - ASE Romania. M.Sc. (1979), in Computer Information System& System Analysis College Of Planning & Cybernetics Romania. Postgraduate Diploma(198), in Information &Applied mathematics UNESCO, Bucharest. B.Sc.(1976) Statistics Almustanseriy university Baghdad Iraq. 2 Ali Jbaeer Dawood has received Ph. D. in Computer science, Iraqi Commission for Computers and Informatics - Informatics Institute for Postgraduate Studies (21). He joined in (-3) to Computer Science Department College of Science- Baghdad University, Baghdad, Iraq as an external lecturer. He joined in (1-3) to Computer Science Department College of Computer, Anbar University, Anbar, Iraq as an external lecturer. He joined in (2-7) to Computer Science Department, AL-Mansour University College, Baghdad, Iraq as an external lecturer. He joined in (5-7) to Computer Science Department, College of Science, AL-Moustasria University, Baghdad, Iraq as a lecturer. He joined in (7-tell now) to Computer Science Department College of Computer, Anbar University, Anbar, Iraq as a lecturer. Deputy Dean at College of Computer, AL-Anbar University, Anbar, Iraq (21-212). 3 Muzhir Shaban Al-Ani has received Ph. D. in Computer & Communication Engineering Technology, ETSII, Valladolid University, Spain, Assistant of Dean at Al-Anbar Technical Institute (1985). Head of Electrical Department at Al- Anbar Technical Institute, Iraq ( ), Head of Computer and Software Engineering Department at Al-Mustansyria University, Iraq (1997-1), Dean of Computer Science (CS) & Information System (IS) faculty at University of Technology, Iraq (1-3). He joined in 15 September 3 Electrical and Computer Engineering Department, College of Engineering, Applied Science University, Amman, Jordan, as Associated Professor. He joined in 15 September 5 Management Information System Department, Amman Arab University, Amman, Jordan, as Associated Professor, then he joined computer science department in 15 September 8 at the same university. He joined in August 9 College of Computer Science, Al-Anbar University, Al-Anbar, Iraq, as Professor. Volume 2, Issue 1, October 213 Page 5